...

Commits (3)
 \renewcommand{\lastedityear}{2019} \renewcommand{\lasteditmonth}{03} \renewcommand{\lasteditday}{29} \renewcommand{\lasteditmonth}{04} \renewcommand{\lasteditday}{11} \renewcommand{\numberofthischapter}{2} \renewcommand{\titleofthischapter}{\namechaptertwotitle} \atstartofexercises ... ... @@ -45,7 +45,15 @@ Balance of energy in a considered volume with steady flow: \wherefrom{\cczero \oc} \label{exo_pipe_expansion} Water flows from left to right in a pipe. On the left the diameter is \SI{8}{\centi\metre}, the water comes in with a uniform velocity of \SI{1,5}{\metre\per\second}. The diameter increases gently until it reaches \SI{16}{\centi\metre}; the expansion is smooth, so that losses (specifically, energy losses due to wall friction and flow separation) are negligible. Water flows from left to right in a pipe, as shown in fig.~\ref{fig_simple_pipe_expansion}. On the left the diameter is \SI{8}{\centi\metre}, the water comes in with a uniform velocity of \SI{1,5}{\metre\per\second}. The diameter increases gently until it reaches \SI{16}{\centi\metre}; the expansion is smooth, so that losses (specifically, energy losses due to wall friction and flow separation) are negligible. \begin{figure} \begin{center} \includegraphics[width=7.5cm]{simple_pipe_expansion} \vspace{-0.5cm} \end{center} \supercaption{A simple pipe expansion, with water flowing from left to right.}{\cczero \oc} \label{fig_simple_pipe_expansion} \end{figure} \begin{enumerate} \item What are the mass and volume flows across the pipe? \item What is the average velocity of the water at the right end of the expansion? ... ... @@ -55,13 +63,13 @@ Balance of energy in a considered volume with steady flow: The volume flow of water in the pipe is now doubled. \begin{enumerate} \shift{3} \item What is the new pressure drop? \item What is the new pressure change? \end{enumerate} The water is drained from the pipe, and instead, air with density \SI{1,225}{\kilogram\per\metre\squared} is flowed in the pipe, incoming with a uniform velocity of \SI{1,5}{\metre\per\second}. The water is drained from the pipe, and instead, air with density \SI{1,225}{\kilogram\per\metre\cubed} is flowed in the pipe, incoming with a uniform velocity of \SI{1,5}{\metre\per\second}. \begin{enumerate} \shift{4} \item What is the new pressure drop? \item What is the new pressure change? \end{enumerate} %%%% ... ... @@ -69,7 +77,15 @@ Balance of energy in a considered volume with steady flow: \wherefrom{\cczero \oc} \label{exo_pipe_with_losses} Water flows in a long pipe which has constant diameter; a valve is installed in the middle of the pipe length. Water comes in the pipe with a uniform velocity of \SI{1,5}{\metre\per\second} and the pipe diameter is \SI{250}{\milli\metre}. Water flows in a long pipe which has constant diameter; a valve is installed in the middle of the pipe length (fig.~\ref{fig_simple_straight_pipe_valve}). Water comes in the pipe with a uniform velocity of \SI{1,5}{\metre\per\second} and the pipe diameter is \SI{250}{\milli\metre}. \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{simple_straight_pipe_valve} \vspace{-0.5cm} \end{center} \supercaption{A simple, straight pipe, featuring a partially-open valve in the center}{\cczero \oc} \label{fig_simple_straight_pipe_valve} \end{figure} The pipe itself and the valve, together, induce a pressure loss which can be quantified using the dimensionless \vocab{loss coefficient} $K_\text{valve}$ (we later will later encounter it as eq.~\ref{eq_def_loss_coeff} p.\pageref{eq_def_loss_coeff}). With this tool, the pressure loss is related to the average incoming speed $V_\text{incoming}$ as: \begin{IEEEeqnarray}{rCcCl} ... ... @@ -91,7 +107,15 @@ Balance of energy in a considered volume with steady flow: \wherefrom{\cczero \oc} \label{exo_combustor} A jet engine is equipped with several \vocab{combustors} (sometimes also called \vocab{combustion chambers}). We are interested in fluid flow through one such combustor. Air from the compressor enters the combustor, is mixed with fuel, and combustion occurs, which greatly increases the temperature and specific volume of the mix, before it is run through the turbine. A jet engine is equipped with several \vocab{combustors} (sometimes also called \vocab{combustion chambers}). We are interested in fluid flow through one such combustor, shown in fig.~\ref{fig_combustor}. Air from the compressor enters the combustor, is mixed with fuel, and combustion occurs, which greatly increases the temperature and specific volume of the mix, before it is run through the turbine. \begin{figure} \begin{center} \includegraphics[width=0.8\textwidth]{Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Adour_turbofan_cropped.jpg} \vspace{-0.5cm} \end{center} \supercaption{A combustor in a sectioned jet engine (here, a Turboméca Adour). Air enters from the right, out of the compressor (whose blades are painted blue). It leaves the combustor on the left side, into the turbine. In the combustor, high-temperature, steady combustion takes place.}{\wcfile{Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Adour_turbofan.jpg} \ccbysa \oc} \label{fig_combustor} \end{figure} The conditions at inlet are as follows: \begin{itemize} ... ...
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
No preview for this file type
 [0] Config.pm:302> INFO - This is Biber 2.9 [1] Config.pm:305> INFO - Logfile is 'fluidmech.blg' [49] biber:313> INFO - === Wed Apr 10, 2019, 22:33:14 [79] Biber.pm:371> INFO - Reading 'fluidmech.bcf' [182] Biber.pm:857> INFO - Found 19 citekeys in bib section 0 [204] Biber.pm:3981> INFO - Processing section 0 [221] Biber.pm:4154> INFO - Looking for bibtex format file '/home/olivier/.fluidmechbib.bib' for section 0 [223] bibtex.pm:1468> INFO - LaTeX decoding ... [284] bibtex.pm:1294> INFO - Found BibTeX data source '/home/olivier/.fluidmechbib.bib' [516] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' [516] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' [517] Biber.pm:3809> INFO - Sorting list 'ynt/global//global/global' of type 'entry' with template 'ynt' and locale 'en-US' [517] Biber.pm:3815> INFO - No sort tailoring available for locale 'en-US' [556] bbl.pm:617> INFO - Writing 'fluidmech.bbl' with encoding 'UTF-8' [565] bbl.pm:720> INFO - Output to fluidmech.bbl [0] Config.pm:305> INFO - Logfile is 'fluidmech.blg' [51] biber:313> INFO - === Thu Apr 11, 2019, 22:10:17 [86] Biber.pm:371> INFO - Reading 'fluidmech.bcf' [205] Biber.pm:857> INFO - Found 19 citekeys in bib section 0 [231] Biber.pm:3981> INFO - Processing section 0 [251] Biber.pm:4154> INFO - Looking for bibtex format file '/home/olivier/.fluidmechbib.bib' for section 0 [254] bibtex.pm:1468> INFO - LaTeX decoding ... [316] bibtex.pm:1294> INFO - Found BibTeX data source '/home/olivier/.fluidmechbib.bib' [548] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized' [548] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable' [548] Biber.pm:3809> INFO - Sorting list 'ynt/global//global/global' of type 'entry' with template 'ynt' and locale 'en-US' [548] Biber.pm:3815> INFO - No sort tailoring available for locale 'en-US' [582] bbl.pm:617> INFO - Writing 'fluidmech.bbl' with encoding 'UTF-8' [592] bbl.pm:720> INFO - Output to fluidmech.bbl
 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 10 APR 2019 22:35 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 11 APR 2019 22:12 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. ... ... @@ -3616,10 +3616,10 @@ Package logreq Info: Writing requests to 'fluidmech.run.xml'. ) Here is how much of TeX's memory you used: 62588 strings out of 494214 1148099 string characters out of 6166503 1747684 words of memory out of 5000000 64417 multiletter control sequences out of 15000+600000 62594 strings out of 494214 1148262 string characters out of 6166503 1747897 words of memory out of 5000000 64423 multiletter control sequences out of 15000+600000 762686 words of font info for 348 fonts, out of 8000000 for 9000 500 hyphenation exceptions out of 8191 100i,14n,108p,10420b,2113s stack positions out of 5000i,500n,10000p,200000b,80000s ... ... @@ -3632,25 +3632,25 @@ xist, replaced by a fixed one pdfTeX warning (dest): name{equation.6.4.33} has been referenced but does not e xist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.120} has been referenced but does no pdfTeX warning (dest): name{figure.caption.123} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.119} has been referenced but does no pdfTeX warning (dest): name{figure.caption.122} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.118} has been referenced but does no pdfTeX warning (dest): name{figure.caption.121} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{equation.9.4.15} has been referenced but does not e xist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.117} has been referenced but does no pdfTeX warning (dest): name{figure.caption.120} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{subsubsection.4.5.0.5} has been referenced but does not exist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.116} has been referenced but does no pdfTeX warning (dest): name{figure.caption.119} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{equation.11.3.26} has been referenced but does not ... ... @@ -3659,7 +3659,7 @@ exist, replaced by a fixed one pdfTeX warning (dest): name{equation.11.3.25} has been referenced but does not exist, replaced by a fixed one pdfTeX warning (dest): name{figure.caption.115} has been referenced but does no pdfTeX warning (dest): name{figure.caption.118} has been referenced but does no t exist, replaced by a fixed one pdfTeX warning (dest): name{equation.11.4.40} has been referenced but does not ... ... @@ -3688,7 +3688,7 @@ public/libertinust1math/LibertinusT1Math.pfb> Output written on fluidmech.pdf (10 pages, 1689575 bytes). Output written on fluidmech.pdf (10 pages, 1689577 bytes). PDF statistics: 235 PDF objects out of 1000 (max. 8388607) 205 compressed objects within 3 object streams ... ...
 ... ... @@ -11,4 +11,4 @@ {\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {2.2}Pipe flow with losses}{\reset@font\mtcSSSfont 40}{subsubsection.2.7.0.2}} {\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {2.3}Combustor from a jet engine}{\reset@font\mtcSSSfont 40}{subsubsection.2.7.0.3}} {\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {2.4}Water jet on a wall}{\reset@font\mtcSSSfont 41}{subsubsection.2.7.0.4}} {\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {2.5}High-speed gas flow}{\reset@font\mtcSSSfont 41}{subsubsection.2.7.0.5}} {\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {2.5}High-speed gas flow}{\reset@font\mtcSSSfont 42}{subsubsection.2.7.0.5}}
 ... ... @@ -51,7 +51,7 @@ \contentsline {subsubsection}{\numberline {2.2}Pipe flow with losses}{40}{subsubsection.2.7.0.2} \contentsline {subsubsection}{\numberline {2.3}Combustor from a jet engine}{40}{subsubsection.2.7.0.3} \contentsline {subsubsection}{\numberline {2.4}Water jet on a wall}{41}{subsubsection.2.7.0.4} \contentsline {subsubsection}{\numberline {2.5}High-speed gas flow}{41}{subsubsection.2.7.0.5} \contentsline {subsubsection}{\numberline {2.5}High-speed gas flow}{42}{subsubsection.2.7.0.5} \contentsline {chapter}{\numberline {3}Analysis of existing flows with\nobreakspace {}three\nobreakspace {}dimensions}{45}{chapter.3} \contentsline {section}{\numberline {3.1}Motivation}{45}{section.3.1} \contentsline {section}{\numberline {3.2}The Reynolds transport theorem}{45}{section.3.2} ... ... @@ -221,7 +221,7 @@ \contentsline {subsubsection}{\numberline {11.6}Flow field of a tornado}{196}{subsubsection.11.5.0.6} \contentsline {subsubsection}{\numberline {11.7}Lift on a symmetrical object}{198}{subsubsection.11.5.0.7} \contentsline {subsubsection}{\numberline {11.8}Air flow over a wing profile}{198}{subsubsection.11.5.0.8} \contentsline {chapter}{Appendix}{201}{section*.121} \contentsline {chapter}{Appendix}{201}{section*.124} \contentsline {section}{\numberline {A1}Notation}{202}{section.Alph0.1} \contentsline {section}{\numberline {A2}Field operators}{203}{section.Alph0.2} \contentsline {subsection}{\numberline {A2.1}Gradient}{203}{subsection.Alph0.2.1} ... ...
 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 10 APR 2019 22:31 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 11 APR 2019 22:08 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. ... ... @@ -4232,6 +4232,15 @@ LaTeX Font Info: Font shape T1/fxl/m/sl' will be (Font) scaled to size 10.0pt on input line 45. LaTeX Font Info: Font shape T1/fxl/m/sc' will be (Font) scaled to size 10.0pt on input line 45. LaTeX Warning: Reference fig_simple_pipe_expansion' on page 39 undefined on in put line 48. File: simple_pipe_expansion.png Graphic file (type png) Package pdftex.def Info: simple_pipe_expansion.png used on input line 51. (pdftex.def) Requested size: 213.39566pt x 39.83192pt. [39 ... ... @@ -4242,53 +4251,75 @@ pdfTeX warning (ext4): destination with the same identifier (name{equation.2.7. \AtBegShi@Output ...ipout \box \AtBeginShipoutBox \fi \fi l.64 \item W hat is the new pressure drop?pdfTeX warning (ext4): destination w ith the same identifier (name{equation.2.7.21}) has been already used, duplicat e ignored l.60 \item W hat is the pressure change in the water across the expansion?pdfT eX warning (ext4): destination with the same identifier (name{equation.2.7.21}) has been already used, duplicate ignored \AtBegShi@Output ...ipout \box \AtBeginShipoutBox \fi \fi l.64 \item W hat is the new pressure drop?] l.60 \item W hat is the pressure change in the water across the expansion? <./ 2/images/simple_pipe_expansion.png>] LaTeX Warning: Reference fig_simple_straight_pipe_valve' on page 40 undefined on input line 80. File: simple_straight_pipe_valve.png Graphic file (type png) Package pdftex.def Info: simple_straight_pipe_valve.png used on input line 83. (pdftex.def) Requested size: 341.43437pt x 50.36163pt. LaTeX Warning: Reference eq_def_loss_coeff' on page 40 undefined on input line 74. 90. LaTeX Warning: Reference eq_def_loss_coeff' on page 40 undefined on input line 74. 90. [40 <./2/images/simple_straight_pipe_valve.png>] LaTeX Warning: Reference fig_combustor' on page 41 undefined on input line 110 . File: Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Adour_turbofan_cropped .jpg Graphic file (type jpg) Package pdftex.def Info: Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Ado ur_turbofan_cropped.jpg used on input line 113. (pdftex.def) Requested size: 341.43437pt x 181.90596pt. [41 <./2/illustrations/rr_spey/Core_section_of_a_sectioned_Rolls-Royce_Turbomé ca_Adour_turbofan_cropped.jpg>] LaTeX Warning: Citation 'white2008' on page 40 undefined on input line 118. LaTeX Warning: Citation 'white2008' on page 42 undefined on input line 142. [40] LaTeX Warning: Reference fig_water_wall' on page 1 undefined on input line 121 LaTeX Warning: Reference fig_water_wall' on page 1 undefined on input line 145 . File: nozzle_plate.png Graphic file (type png) Package pdftex.def Info: nozzle_plate.png used on input line 124. Package pdftex.def Info: nozzle_plate.png used on input line 148. (pdftex.def) Requested size: 213.39566pt x 192.91396pt. [41 <./2/images/nozzle_plate.png>] [42 <./2/images/nozzle_plate.png>] LaTeX Warning: Reference fig_simple_converging_diverging_nozzle' on page 42 un defined on input line 150. LaTeX Warning: Reference fig_simple_converging_diverging_nozzle' on page 43 un defined on input line 174. File: simple_converging_diverging_nozzle.png Graphic file (type png) Package pdftex.def Info: simple_converging_diverging_nozzle.png used on input line 153. line 177. (pdftex.def) Requested size: 341.43437pt x 152.59224pt. [42 <./2/images/simple_converging_diverging_nozzle.png>] Excluding 'comment' comment. [43] [44 ]) [43 <./2/images/simple_converging_diverging_nozzle.png>] Excluding 'comment' comment. [44]) \openout2 = 3/chap3.aux'. (./3/chap3.tex ... ... @@ -4312,7 +4343,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 45 undefined on input line 10. LaTeX Warning: Citation 'denevers2004' on page 45 undefined on input line 10. <1LXlFVtPoCY.jpg, id=508, 642.4pt x 361.35pt> <1LXlFVtPoCY.jpg, id=523, 642.4pt x 361.35pt> File: 1LXlFVtPoCY.jpg Graphic file (type jpg) Package pdftex.def Info: 1LXlFVtPoCY.jpg used on input line 15. ... ... @@ -4327,7 +4358,7 @@ LaTeX Warning: Reference chap_two' on page 1 undefined on input line 16. LaTeX Warning: Reference fig_cv' on page 1 undefined on input line 29. File: concept_control_volume_system.png Graphic file (type png) Package pdftex.def Info: concept_control_volume_system.png used on input line ... ... @@ -4344,12 +4375,15 @@ LaTeX Warning: Reference fig_cv_simple' on page 45 undefined on input line 35. [45 <./3/thumbs/1LXlFVtPoCY.jpg>] [46 <./3/images/concept_control_volume_system.pn g>] LaTeX Warning: Reference fig_cv_da' on page 1 undefined on input line 69. File: concept_vrel_vecn.png Graphic file (type png) Package pdftex.def Info: concept_vrel_vecn.png used on input line 82. ... ... @@ -4399,7 +4433,7 @@ Package mdframed Info: mdframed works in twoside mode on input line 114. LaTeX Warning: Reference mdf@pagelabel-8' on page 49 undefined on input line 1 18. File: Niccolò Paganini - Caprice No.5 - David Hernando.ogv.jpg Graphic file (t ype jpg) ... ... @@ -4428,7 +4462,7 @@ nput line 123. LaTeX Warning: Reference ch_balance_mass_int_simple' on page 49 undefined on i nput line 123. File: simple_cv_fnet.png Graphic file (type png) Package pdftex.def Info: simple_cv_fnet.png used on input line 131. ... ... @@ -4459,7 +4493,7 @@ Package mdframed Info: mdframed works in twoside mode on input line 149. LaTeX Warning: Reference mdf@pagelabel-9' on page 50 undefined on input line 1 67. File: S6JKwzK37_8.jpg Graphic file (type jpg) Package pdftex.def Info: S6JKwzK37_8.jpg used on input line 169. ... ... @@ -4512,7 +4546,7 @@ LaTeX Warning: Reference eq_rtt_linearmom' on page 50 undefined on input line LaTeX Warning: Reference eq_fnet_twovectors_unsteady' on page 51 undefined on input line 188. File: nmEe7Dq01AU.jpg Graphic file (type jpg) Package pdftex.def Info: nmEe7Dq01AU.jpg used on input line 209. ... ... @@ -4534,7 +4568,7 @@ Package mdframed Info: mdframed works in twoside mode on input line 215. LaTeX Warning: Reference mdf@pagelabel-10' on page 52 undefined on input line 222. <4cvGGxTsQx0.jpg, id=601, 642.4pt x 361.35pt> <4cvGGxTsQx0.jpg, id=616, 642.4pt x 361.35pt> File: 4cvGGxTsQx0.jpg Graphic file (type jpg) Package pdftex.def Info: 4cvGGxTsQx0.jpg used on input line 225. ... ... @@ -4557,7 +4591,7 @@ n input line 226. LaTeX Warning: Reference eq_rtt_angularmom' on page 52 undefined on input line 226. File: simple_cv_mnet.png Graphic file (type png) Package pdftex.def Info: simple_cv_mnet.png used on input line 233. ... ... @@ -4678,7 +4712,7 @@ l.31 \clearpage LaTeX Warning: Reference fig_pipe_bend' on page 1 undefined on input line 37. File: pipe_bend.png Graphic file (type png) Package pdftex.def Info: pipe_bend.png used on input line 40. ... ... @@ -4686,7 +4720,7 @@ Package pdftex.def Info: pipe_bend.png used on input line 40. LaTeX Warning: Reference fig_deflector' on page 1 undefined on input line 57. File: deflector.png Graphic file (type png) Package pdftex.def Info: deflector.png used on input line 60. ... ... @@ -4701,7 +4735,7 @@ LaTeX Warning: Citation 'white2008' on page 56 undefined on input line 79. LaTeX Warning: Reference fig_water_turbine' on page 1 undefined on input line 82. File: water_turbine_blade.png Graphic file (type png) Package pdftex.def Info: water_turbine_blade.png used on input line 85. ... ... @@ -4713,7 +4747,7 @@ LaTeX Warning: Citation 'gerhartgross1985' on page 57 undefined on input line 1 LaTeX Warning: Reference fig_snowplow' on page 1 undefined on input line 121. File: bladeplow.png Graphic file (type png) Package pdftex.def Info: bladeplow.png used on input line 124. ... ... @@ -4722,7 +4756,7 @@ Package pdftex.def Info: bladeplow.png used on input line 124. LaTeX Warning: Reference fig_cylinder' on page 1 undefined on input line 150. File: cylinder_integral_analysis.png Graphic file (type png) Package pdftex.def Info: cylinder_integral_analysis.png used on input line 153 ... ... @@ -4732,7 +4766,7 @@ Package pdftex.def Info: cylinder_integral_analysis.png used on input line 153 LaTeX Warning: Reference fig_platebl' on page 1 undefined on input line 179. File: plate_integral_analysis.png Graphic file (type png) Package pdftex.def Info: plate_integral_analysis.png used on input line 183. ... ... @@ -4744,7 +4778,7 @@ LaTeX Warning: !h' float specifier changed to !ht'. LaTeX Warning: Reference fig_profile' on page 1 undefined on input line 209. File: profile_integral_analysis.png Graphic file (type png) Package pdftex.def Info: profile_integral_analysis.png used on input line 213. ... ... @@ -4769,7 +4803,7 @@ put line 256. LaTeX Warning: Reference fig_deflector_sideview' on page 1 undefined on input line 256. File: deflector_sideview.png Graphic file (type png) Package pdftex.def Info: deflector_sideview.png used on input line 259. ... ... @@ -4786,7 +4820,7 @@ LaTeX Warning: Reference fig_deflector' on page 61 undefined on input line 261 LaTeX Warning: Reference fig_notar' on page 62 undefined on input line 275. File: notar.png Graphic file (type png) Package pdftex.def Info: notar.png used on input line 278. ... ... @@ -4815,12 +4849,12 @@ LaTeX Font Info: Font shape T1/fxl/b/n' will be LaTeX Warning: Reference fig_pipe' on page 1 undefined on input line 304. File: pipe_integral_analysis.png Graphic file (type png) Package pdftex.def Info: pipe_integral_analysis.png used on input line 308. (pdftex.def) Requested size: 256.07741pt x 137.95946pt. File: turbofan_reverse.png Graphic file (type png) Package pdftex.def Info: turbofan_reverse.png used on input line 350. ... ... @@ -4933,7 +4967,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 67 undefined on input line 10. LaTeX Warning: Citation 'denevers2004' on page 67 undefined on input line 10. <4MVn1PoxGqY.jpg, id=807, 642.4pt x 361.35pt> <4MVn1PoxGqY.jpg, id=822, 642.4pt x 361.35pt> File: 4MVn1PoxGqY.jpg Graphic file (type jpg) Package pdftex.def Info: 4MVn1PoxGqY.jpg used on input line 15. ... ... @@ -4941,7 +4975,7 @@ Package pdftex.def Info: 4MVn1PoxGqY.jpg used on input line 15. LaTeX Warning: Reference chap_five' on page 1 undefined on input line 16. File: ke4Rf9FrHnw.jpg Graphic file (type jpg) Package pdftex.def Info: ke4Rf9FrHnw.jpg used on input line 27. ... ... @@ -4984,7 +5018,7 @@ LaTeX Warning: Reference mdf@pagelabel-14' on page 68 undefined on input line LaTeX Warning: Reference fig_moment_forces_pressure_statics' on page 1 undefin ed on input line 72. File: moment_force_pressure.png Graphic file (type png) Package pdftex.def Info: moment_force_pressure.png used on input line 81. ... ... @@ -5022,7 +5056,7 @@ LaTeX Warning: Reference eq_def_pressure' on page 70 undefined on input line 1 LaTeX Warning: Reference fig_particle_pressure_faces' on page 1 undefined on i nput line 130. File: particle_pressure_faces.png Graphic file (type png) Package pdftex.def Info: particle_pressure_faces.png used on input line 133. ... ... @@ -5081,7 +5115,7 @@ ine 227. LaTeX Warning: Reference fig_pressure_depth_statics' on page 1 undefined on in put line 227. File: pressure_depth.png Graphic file (type png) Package pdftex.def Info: pressure_depth.png used on input line 230. ... ... @@ -5095,7 +5129,7 @@ ine 236. LaTeX Warning: Reference fig_gradient_pressure_atm_water' on page 1 undefined on input line 256. File: pressure_air_water.png Graphic file (type png) Package pdftex.def Info: pressure_air_water.png used on input line 260. ... ... @@ -5118,7 +5152,7 @@ LaTeX Warning: Reference exo_burj_khalifa' on page 74 undefined on input line LaTeX Warning: Reference eq_atmtemp' on page 74 undefined on input line 278. File: ViuQKqUQ1U8.jpg Graphic file (type jpg) Package pdftex.def Info: ViuQKqUQ1U8.jpg used on input line 282. ... ... @@ -5127,7 +5161,7 @@ Package pdftex.def Info: ViuQKqUQ1U8.jpg used on input line 282. LaTeX Warning: Reference eq_gradp' on page 74 undefined on input line 287. [74 <./4/images/pressure_air_water.png> <./4/thumbs/ViuQKqUQ1U8.jpg>] File: buoyancy_force_demo.png Graphic file (type png) Package pdftex.def Info: buoyancy_force_demo.png used on input line 291. ... ... @@ -5194,7 +5228,7 @@ LaTeX Warning: Reference mdf@pagelabel-17' on page 77 undefined on input line LaTeX Warning: Reference fig_small_water_container' on page 1 undefined on inp ut line 18. File: reservoir1.png Graphic file (type png) Package pdftex.def Info: reservoir1.png used on input line 21. ... ... @@ -5202,7 +5236,7 @@ Package pdftex.def Info: reservoir1.png used on input line 21. LaTeX Warning: Reference fig_utube' on page 1 undefined on input line 31. File: utube.png Graphic file (type png) Package pdftex.def Info: utube.png used on input line 34. ... ... @@ -5211,7 +5245,7 @@ Package pdftex.def Info: utube.png used on input line 34. LaTeX Warning: Reference fig_aquarium_straightwalls' on page 77 undefined on i nput line 46. File: aquarium_straightwalls.png Graphic file (type png) Package pdftex.def Info: aquarium_straightwalls.png used on input line 49. ... ... @@ -5225,7 +5259,7 @@ Package pdftex.def Info: aquarium_straightwalls.png used on input line 49. LaTeX Warning: Reference fig_aquarium_inclinedwalls' on page 1 undefined on in put line 66. File: aquarium_inclinedwalls.png Graphic file (type png) Package pdftex.def Info: aquarium_inclinedwalls.png used on input line 71. ... ... @@ -5237,7 +5271,7 @@ ndefined on input line 87. LaTeX Warning: Reference chap_eleven' on page 1 undefined on input line 87. File: potential_flow_cylinder_coordinates.png Graphic file (type png) Package pdftex.def Info: potential_flow_cylinder_coordinates.png used on input ... ... @@ -5257,7 +5291,7 @@ LaTeX Warning: Reference exo_hangar_roof' on page 79 undefined on input line 9 LaTeX Warning: Reference fig_potential_flow_cylinder_forces' on page 79 undefi ned on input line 101. File: potential_flow_cylinder_forces.png Graphic file (type png) Package pdftex.def Info: potential_flow_cylinder_forces.png used on input line ... ... @@ -5269,7 +5303,7 @@ flow_cylinder_forces.png>] LaTeX Warning: Reference fig_simple_barge' on page 1 undefined on input line 1 21. File: barge.png Graphic file (type png) Package pdftex.def Info: barge.png used on input line 125. ... ... @@ -5334,7 +5368,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 83 undefined on input line 10. LaTeX Warning: Citation 'denevers2004' on page 83 undefined on input line 10. File: BKKXJWgLwJg.jpg Graphic file (type jpg) Package pdftex.def Info: BKKXJWgLwJg.jpg used on input line 15. ... ... @@ -5385,7 +5419,7 @@ LaTeX Warning: Reference eq_first_def_shear_two' on page 84 undefined on input line 80. [84] File: LjWeYPEmCk8.jpg Graphic file (type jpg) Package pdftex.def Info: LjWeYPEmCk8.jpg used on input line 85. ... ... @@ -5394,7 +5428,7 @@ Package pdftex.def Info: LjWeYPEmCk8.jpg used on input line 85. LaTeX Warning: Reference fig_tau_cube' on page 1 undefined on input line 98. File: particle_shear_tensor.png Graphic file (type png) Package pdftex.def Info: particle_shear_tensor.png used on input line 101. ... ... @@ -5450,7 +5484,7 @@ LaTeX Warning: Reference fig_shear_velocity_gradient' on page 1 undefined on i nput line 213. [87] File: shear_velocity_gradient.png Graphic file (type png) Package pdftex.def Info: shear_velocity_gradient.png used on input line 221. ... ... @@ -5474,7 +5508,7 @@ on input line 261. LaTeX Warning: Reference fig_viscosity_characteristics' on page 1 undefined on input line 263. File: viscosity_characteristics.png Graphic file (type png) Package pdftex.def Info: viscosity_characteristics.png used on input line 266. ... ... @@ -5493,7 +5527,7 @@ LaTeX Warning: Reference eq_def_reynolds_number' on page 90 undefined on input LaTeX Warning: Reference fig_couette_flow' on page 90 undefined on input line 283. File: couette_flow.png Graphic file (type png) Package pdftex.def Info: couette_flow.png used on input line 286. ... ... @@ -5573,7 +5607,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 91 undefined on input line 27. LaTeX Warning: Reference fig_plates' on page 1 undefined on input line 30. File: velocity_distribution_couette_flow.png Graphic file (type png) Package pdftex.def Info: velocity_distribution_couette_flow.png used on input ... ... @@ -5595,7 +5629,7 @@ l.55 \clearpage LaTeX Warning: Reference fig_afour_sheet' on page 1 undefined on input line 60 . File: shear_force_a4_sheet.png Graphic file (type png) Package pdftex.def Info: shear_force_a4_sheet.png used on input line 63. ... ... @@ -5608,7 +5642,7 @@ LaTeX Warning: Citation 'cengelcimbala2010' on page 92 undefined on input line LaTeX Warning: Reference fig_viscometer' on page 1 undefined on input line 80. File: viscometer.png Graphic file (type png) Package pdftex.def Info: viscometer.png used on input line 83. ... ... @@ -5622,7 +5656,7 @@ LaTeX Warning: Citation 'white2008' on page 93 undefined on input line 103. LaTeX Warning: Reference fig_bl' on page 1 undefined on input line 106. File: boundary_layer_velocity_distribution.png Graphic file (type png) Package pdftex.def Info: boundary_layer_velocity_distribution.png used on inpu ... ... @@ -5640,7 +5674,7 @@ LaTeX Warning: Citation 'cengelcimbala2010' on page 93 undefined on input line [93 <./5/images/viscometer.png> <./5/images/boundary_layer_velocity_distributio n.png>] File: clutch.png Graphic file (type png) Package pdftex.def Info: clutch.png used on input line 137. ... ... @@ -5703,7 +5737,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 97 undefined on input line 10. LaTeX Warning: Citation 'denevers2004' on page 97 undefined on input line 10. File: wOGlqykD3_E.jpg Graphic file (type jpg) Package pdftex.def Info: wOGlqykD3_E.jpg used on input line 15. ... ... @@ -5719,7 +5753,7 @@ LaTeX Warning: Reference ch_fluid_particle' on page 97 undefined on input line LaTeX Warning: Reference fig_canal' on page 1 undefined on input line 48. File: substantial_derivative_canal_temperature.png Graphic file (type png) ... ... @@ -5752,7 +5786,7 @@ LaTeX Warning: Reference eq_totaltimederivativeheavy' on page 100 undefined on LaTeX Warning: Reference eq_totaltimederivativeheavyA' on page 100 undefined o n input line 107. File: mdN8OOkx2ko.jpg Graphic file (type jpg) Package pdftex.def Info: mdN8OOkx2ko.jpg used on input line 114. ... ... @@ -5795,7 +5829,7 @@ line 115. LaTeX Warning: Reference fig_particle_mass' on page 1 undefined on input line 129. File: particle_mass_conservation.png Graphic file (type png) Package pdftex.def Info: particle_mass_conservation.png used on input line 132 ... ... @@ -5875,7 +5909,7 @@ input line 198. LaTeX Warning: Reference ch_other_balance_equations' on page 103 undefined on input line 198. File: particle_sum_forces.png Graphic file (type png) Package pdftex.def Info: particle_sum_forces.png used on input line 204. ... ... @@ -6379,7 +6413,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 117 undefined on input line 10 LaTeX Warning: Citation 'denevers2004' on page 117 undefined on input line 10. <7Ba0vkAx6ds.jpg, id=1442, 803.0pt x 451.6875pt> <7Ba0vkAx6ds.jpg, id=1457, 803.0pt x 451.6875pt> File: 7Ba0vkAx6ds.jpg Graphic file (type jpg) Package pdftex.def Info: 7Ba0vkAx6ds.jpg used on input line 14. ... ... @@ -6388,7 +6422,7 @@ Package pdftex.def Info: 7Ba0vkAx6ds.jpg used on input line 14. LaTeX Warning: Reference fig_inviscid_flow_pipe' on page 117 undefined on inpu t line 24. File: fluid_flow_in_duct_inviscid.png Graphic file (type png) Package pdftex.def Info: fluid_flow_in_duct_inviscid.png used on input line 28 ... ... @@ -6443,7 +6477,7 @@ Excluding 'comment' comment. LaTeX Warning: Reference fig_viscous_laminar_flow_in_duct' on page 119 undefin ed on input line 116. File: fluid_flow_in_duct_viscous_laminar.png Graphic file (type png) Package pdftex.def Info: fluid_flow_in_duct_viscous_laminar.png used on input ... ... @@ -6480,7 +6514,7 @@ LaTeX Warning: Reference fig_twoplates' on page 1 undefined on input line 141. LaTeX Warning: Reference eq_tmp4' on page 121 undefined on input line 153. <23r18zOX30k.jpg, id=1503, 481.8pt x 361.35pt> <23r18zOX30k.jpg, id=1518, 481.8pt x 361.35pt> File: 23r18zOX30k.jpg Graphic file (type jpg) Package pdftex.def Info: 23r18zOX30k.jpg used on input line 158. ... ... @@ -6500,7 +6534,7 @@ LaTeX Warning: Reference eq_tmp5' on page 121 undefined on input line 159. LaTeX Warning: Reference fig_cylinder_lam' on page 1 undefined on input line 1 72. File: pipe_flow_coordinates.png Graphic file (type png) Package pdftex.def Info: pipe_flow_coordinates.png used on input line 176. ... ... @@ -6526,7 +6560,7 @@ LaTeX Warning: Reference eq_pipe_lam_tmp' on page 123 undefined on input line LaTeX Warning: Reference fig_speed_cylinder_lam' on page 1 undefined on input line 226. File: velocity_distribution_laminar_pipe.png Graphic file (type png) Package pdftex.def Info: velocity_distribution_laminar_pipe.png used on input ... ... @@ -6546,17 +6580,17 @@ LaTeX Warning: Reference eq_def_darcy' on page 123 undefined on input line 250 . [123 <./7/images/velocity_distribution_laminar_pipe.png>] <56AyTIhNQBo.jpg, id=1548, 803.0pt x 506.89375pt> <56AyTIhNQBo.jpg, id=1563, 803.0pt x 506.89375pt> File: 56AyTIhNQBo.jpg Graphic file (type jpg) Package pdftex.def Info: 56AyTIhNQBo.jpg used on input line 265. (pdftex.def) Requested size: 103.85237pt x 65.55045pt. File: reynolds1.jpg Graphic file (type jpg) Package pdftex.def Info: reynolds1.jpg used on input line 269. (pdftex.def) Requested size: 227.62204pt x 220.08733pt. File: reynolds2.png Graphic file (type png) Package pdftex.def Info: reynolds2.png used on input line 276. ... ... @@ -6614,7 +6648,7 @@ LaTeX Warning: Command \textquoteright invalid in math mode on input line 327. LaTeX Warning: Reference fig_speed_cylinder_turb' on page 1 undefined on input line 342. File: velocity_distributions_laminar_turbulent_2.png Graphic file (type png) ... ... @@ -6629,7 +6663,7 @@ LaTeX Warning: Reference eq_colebrook' on page 127 undefined on input line 365 LaTeX Warning: Reference fig_moody_diagram' on page 1 undefined on input line 365. File: moody.png Graphic file (type png) Package pdftex.def Info: moody.png used on input line 368. ... ... @@ -6720,7 +6754,7 @@ LaTeX Warning: Reference fig_moody' on page 129 undefined on input line 23. LaTeX Warning: Reference mdf@pagelabel-30' on page 129 undefined on input line 24. File: viscosities_horizontal.jpg Graphic file (type jpg) Package pdftex.def Info: viscosities_horizontal.jpg used on input line 29. ... ... @@ -6730,7 +6764,7 @@ LaTeX Font Info: Font shape TS1/fxl/m/sl' will be LaTeX Warning: Citation 'white2008' on page 129 undefined on input line 32. File: moody_rotated.png Graphic file (type png) Package pdftex.def Info: moody_rotated.png used on input line 38. ... ... @@ -6773,7 +6807,7 @@ LaTeX Warning: Reference fig_viscosities_various_fluids' on page 131 undefined LaTeX Warning: Reference fig_water_piping' on page 1 undefined on input line 7 5. File: water_pipe_layout.png Graphic file (type png) Package pdftex.def Info: water_pipe_layout.png used on input line 79. ... ... @@ -6835,7 +6869,7 @@ ut line 138. LaTeX Warning: Reference fig_trans_alaska' on page 1 undefined on input line 1 38. File: pipeline0.jpg Graphic file (type jpg) Package pdftex.def Info: pipeline0.jpg used on input line 141. ... ... @@ -6853,7 +6887,7 @@ LaTeX Warning: Reference fig_viscosities_various_fluids' on page 133 undefined LaTeX Warning: Reference fig_water_piping_2' on page 1 undefined on input line 173. File: water_pipe_layout2.png Graphic file (type png) Package pdftex.def Info: water_pipe_layout2.png used on input line 176. ... ... @@ -6870,12 +6904,12 @@ LaTeX Warning: Reference fig_kugel_two' on page 1 undefined on input line 197. LaTeX Warning: Reference fig_kugel_one' on page 1 undefined on input line 197. File: kugel_fountain_1.png Graphic file (type png) Package pdftex.def Info: kugel_fountain_1.png used on input line 202. (pdftex.def) Requested size: 256.07741pt x 125.16719pt. File: kugel_fountain_2.png Graphic file (type png) Package pdftex.def Info: kugel_fountain_2.png used on input line 203. ... ... @@ -6903,7 +6937,7 @@ l.217 \end{IEEEeqnarray} LaTeX Warning: Reference eq_pressure_gradient_couette' on page 135 undefined o n input line 217. File: kugel_fountain_photo.jpg Graphic file (type jpg) Package pdftex.def Info: kugel_fountain_photo.jpg used on input line 224. ... ... @@ -6914,7 +6948,7 @@ mages/kugel_fountain_photo.jpg>] LaTeX Warning: Reference fig_bad_exercise' on page 1 undefined on input line 2 37. File: awful_exercise.png Graphic file (type png) Package pdftex.def Info: awful_exercise.png used on input line 243. ... ... @@ -6923,7 +6957,7 @@ Package pdftex.def Info: awful_exercise.png used on input line 243. LaTeX Warning: Reference fig_politically_incorrect_fluidmech' on page 1 undefi ned on input line 255. File: vodkatonic.png Graphic file (type png) Package pdftex.def Info: vodkatonic.png used on input line 259. ... ... @@ -7030,12 +7064,12 @@ LaTeX Warning: Citation 'munsonetal2013' on page 141 undefined on input line 10 LaTeX Warning: Citation 'denevers2004' on page 141 undefined on input line 10. File: ZMlm0gXPruI.jpg Graphic file (type jpg) Package pdftex.def Info: ZMlm0gXPruI.jpg used on input line 15. (pdftex.def) Requested size: 103.85237pt x 58.41129pt. <69445362.png, id=1767, 803.0pt x 434.62375pt> <69445362.png, id=1782, 803.0pt x 434.62375pt> File: 69445362.png Graphic file (type png) Package pdftex.def Info: 69445362.png used on input line 29. ... ... @@ -7168,7 +7202,7 @@ put line 147. LaTeX Warning: Reference appendix_flow_parameters' on page 145 undefined on in put line 147. <51-6QCJTAjU.png, id=1817, 346.29375pt x 225.84375pt> <51-6QCJTAjU.png, id=1832, 346.29375pt x 225.84375pt> File: 51-6QCJTAjU.png Graphic file (type png) Package pdftex.def Info: 51-6QCJTAjU.png used on input line 154. ... ... @@ -7204,7 +7238,7 @@ LaTeX Warning: Citation 'ncfmfmit' on page 145 undefined on input line 154. LaTeX Warning: Reference fig_screencap_reynolds' on page 1 undefined on input line 161. File: images/NCFMF_film_lowre_screencap_reynolds_comparison.png Graphic file (t ype png) ... ... @@ -7232,7 +7266,7 @@ ncap_reynolds_comparison.png (PNG copy)>] LaTeX Warning: Reference fig_dynamic_similarity' on page 1 undefined on input line 181. File: images/Lockheed_C-141_Model_in_TDT_-_GPN-2000-001741.jpg Graphic file (ty pe jpg) ... ... @@ -7240,7 +7274,7 @@ pe jpg) Package pdftex.def Info: images/Lockheed_C-141_Model_in_TDT_-_GPN-2000-001741.j pg used on input line 185. (pdftex.def) Requested size: 181.2461pt x 107.99915pt. File: images/starlifter_full_size.jpg Graphic file (type jpg) Package pdftex.def Info: images/starlifter_full_size.jpg used on input line 18 ... ... @@ -7283,7 +7317,7 @@ LaTeX Warning: Reference eq_def_force_coefficient' on page 148 undefined on in put line 259. [148] File: FQxmOQmnaGw.png Graphic file (type png) Package pdftex.def Info: FQxmOQmnaGw.png used on input line 270. ... ... @@ -7429,7 +7463,7 @@ l.47 ...bsection{Scaling with the Reynolds number} LaTeX Warning: Reference fig_dragonfly' on page 1 undefined on input line 101. File: dragonfly.png Graphic file (type png) Package pdftex.def Info: dragonfly.png used on input line 105. ... ... @@ -7495,7 +7529,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 157 undefined on input line 10 LaTeX Warning: Citation 'denevers2004' on page 157 undefined on input line 10. File: kU1m5ojOnUQ.jpg Graphic file (type jpg) Package pdftex.def Info: kU1m5ojOnUQ.jpg used on input line 14. ... ... @@ -7504,7 +7538,7 @@ Package pdftex.def Info: kU1m5ojOnUQ.jpg used on input line 14. LaTeX Warning: Reference fig_boundarylayer' on page 1 undefined on input line 30. File: boundary_layer_thickness_concept.png Graphic file (type png) Package pdftex.def Info: boundary_layer_thickness_concept.png used on input li ... ... @@ -7517,7 +7551,7 @@ ined on input line 40. LaTeX Warning: Reference fig_bl_ep' on page 1 undefined on input line 42. File: boundary_layer_thickness_speed.png Graphic file (type png) Package pdftex.def Info: boundary_layer_thickness_speed.png used on input line ... ... @@ -7535,7 +7569,7 @@ e 64. LaTeX Warning: Reference fig_no_ns' on page 1 undefined on input line 65. File: Types_of_flow_analysis_in_fluid_mechanics.png Graphic file (type png) ... ... @@ -7551,7 +7585,7 @@ LaTeX Font Info: Font shape T1/fxl/m/sc' will be LaTeX Warning: Reference fig_bl_deltastar' on page 1 undefined on input line 9 2. File: boundary_layer_thicknesses.png Graphic file (type png) Package pdftex.def Info: boundary_layer_thicknesses.png used on input line 96. ... ... @@ -7615,7 +7649,7 @@ LaTeX Warning: Command \textquoteright invalid in math mode on input line 189. LaTeX Warning: Reference fig_bl_blasius' on page 1 undefined on input line 189 . File: blasius_velocity_profile.png Graphic file (type png) Package pdftex.def Info: blasius_velocity_profile.png used on input line 193. ... ... @@ -7625,7 +7659,7 @@ Package pdftex.def Info: blasius_velocity_profile.png used on input line 193. LaTeX Warning: Reference fig_bl_transition' on page 1 undefined on input line 259. File: boundary_layer_transition.png Graphic file (type png) Package pdftex.def Info: boundary_layer_transition.png used on input line 262. ... ... @@ -7639,7 +7673,7 @@ LaTeX Warning: Reference chap_seven' on page 1 undefined on input line 280. LaTeX Warning: Reference fig_comparaison_profils' on page 1 undefined on input line 295. File: boundary_layer_laminar_turbulent_comparison.png Graphic file (type png) ... ... @@ -7650,7 +7684,7 @@ on input line 299. LaTeX Warning: Reference fig_bl_sep' on page 1 undefined on input line 321. File: boundary_layer_separation.png Graphic file (type png) Package pdftex.def Info: boundary_layer_separation.png used on input line 325. ... ... @@ -7669,13 +7703,13 @@ LaTeX Warning: Reference eq_ns_bl_lam_un' on page 165 undefined on input line LaTeX Warning: Reference fig_bl_sep_inflection' on page 1 undefined on input l ine 343. File: boundary_layer_inflection_point.png Graphic file (type png) Package pdftex.def Info: boundary_layer_inflection_point.png used on input lin e 346. (pdftex.def) Requested size: 284.52756pt x 140.31033pt. File: rzRuZNvkMbc.png Graphic file (type png) Package pdftex.def Info: rzRuZNvkMbc.png used on input line 352. ... ... @@ -7691,7 +7725,7 @@ on input line 357. [166 <./10/images/boundary_layer_separation.png> <./10/images/boundary_layer_in flection_point.png>] File: reynolds_number_effect_on_airfoil_flow.png Graphic file (type png) ... ... @@ -7834,7 +7868,7 @@ LaTeX Warning: Citation 'white2008' on page 171 undefined on input line 86. LaTeX Warning: Reference fig_plate_shear_calculations' on page 1 undefined on input line 89. File: plate_shear_calculations.png Graphic file (type png) Package pdftex.def Info: plate_shear_calculations.png used on input line 93. ... ... @@ -7854,7 +7888,7 @@ s-cos-ity \$\LS1/libertinust1math/m/it/12 ^^V[] \LS1/libertinust1math/m/n/12 = [ LaTeX Warning: Reference fig_wright_flyer' on page 1 undefined on input line 1 11. File: Kitty_hawk_gross.jpg Graphic file (type jpg) Package pdftex.def Info: Kitty_hawk_gross.jpg used on input line 114. ... ... @@ -7879,7 +7913,7 @@ n input line 160. LaTeX Warning: Reference fig_laminar_profile_bertin_one' on page 1 undefined o n input line 160. File: bertin_laminar_profile_1.png Graphic file (type png) Package pdftex.def Info: bertin_laminar_profile_1.png used on input line 164. ... ... @@ -7888,7 +7922,7 @@ Package pdftex.def Info: bertin_laminar_profile_1.png used on input line 164. LaTeX Warning: Citation 'bertincummings2010' on page 172 undefined on input lin e 166. File: bertin_laminar_profile_2.png Graphic file (type png) Package pdftex.def Info: bertin_laminar_profile_2.png used on input line 172. ... ... @@ -7901,7 +7935,7 @@ n input line 174. LaTeX Warning: Citation 'bertincummings2010' on page 172 undefined on input lin e 174. File: bertin_laminar_profile_3.png Graphic file (type png) Package pdftex.def Info: bertin_laminar_profile_3.png used on input line 180. ... ... @@ -8041,7 +8075,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 177 undefined on input line 10 LaTeX Warning: Citation 'denevers2004' on page 177 undefined on input line 10. File: qEE-tyXgWLI.jpg Graphic file (type jpg) Package pdftex.def Info: qEE-tyXgWLI.jpg used on input line 15. ... ... @@ -8124,7 +8158,7 @@ LaTeX Warning: Reference eq_bernoulli' on page 180 undefined on input line 142 LaTeX Warning: Reference fig_potential_flow_source' on page 1 undefined on inp ut line 164. File: images/potential_flow_source.png Graphic file (type png) Package pdftex.def Info: images/potential_flow_source.png used on input line 1 ... ... @@ -8135,13 +8169,13 @@ Package pdftex.def Info: images/potential_flow_source.png used on input line 1 LaTeX Warning: Reference fig_potential_flow_doublet' on page 1 undefined on in put line 184. File: images/potential_flow_uniform_flow.png Graphic file (type png) Package pdftex.def Info: images/potential_flow_uniform_flow.png used on input line 194. (pdftex.def) Requested size: 50.99911pt x 85.35826pt. File: potential_flow_doublet.png Graphic file (type png) Package pdftex.def Info: potential_flow_doublet.png used on input line 195. ... ... @@ -8150,7 +8184,7 @@ Package pdftex.def Info: potential_flow_doublet.png used on input line 195. LaTeX Warning: Reference fig_potential_flow_cylinder' on page 1 undefined on i nput line 202. File: potential_flow_cylinder.png Graphic file (type png) Package pdftex.def Info: potential_flow_cylinder.png used on input line 208. ... ... @@ -8161,14 +8195,14 @@ doublet.png>] LaTeX Warning: Reference fig_pressure_distribution_cylinder' on page 1 undefin ed on input line 240. File: pressure_distribution_cylinders.png Graphic file (type png) Package pdftex.def Info: pressure_distribution_cylinders.png used on input lin e 243. (pdftex.def) Requested size: 221.93376pt x 169.98183pt. [183 <./11/images/potential_flow_cylinder.png>] File: oGeMZ3t8jn4.png Graphic file (type png) Package pdftex.def Info: oGeMZ3t8jn4.png used on input line 254. ... ... @@ -8196,7 +8230,7 @@ ine 255. LaTeX Warning: Reference fig_lifting_cylinder' on page 1 undefined on input li ne 266. File: rotating_cylinders_white.png Graphic file (type png) Package pdftex.def Info: rotating_cylinders_white.png used on input line 269. ... ... @@ -8210,7 +8244,7 @@ LaTeX Warning: Citation 'white2008' on page 184 undefined on input line 271. Excluding 'comment' comment. [184 <./11/images/pressure_distribution_cylinders. png> <./11/thumbs/oGeMZ3t8jn4.png (PNG copy)>] File: pnbJEg9r1o8.jpg Graphic file (type jpg) Package pdftex.def Info: pnbJEg9r1o8.jpg used on input line 296. ... ... @@ -8234,12 +8268,12 @@ Underfull \hbox (badness 6978) in paragraph at lines 296--296 LaTeX Warning: Reference fig_conformal_mapping' on page 1 undefined on input l ine 297. File: conformal_mapping_1.png Graphic file (type png) Package pdftex.def Info: conformal_mapping_1.png used on input line 300. (pdftex.def) Requested size: 295.9098pt x 69.12874pt. File: conformal_mapping_2.png Graphic file (type png) Package pdftex.def Info: conformal_mapping_2.png used on input line 302. ... ... @@ -8248,12 +8282,12 @@ Package pdftex.def Info: conformal_mapping_2.png used on input line 302. LaTeX Warning: Reference fig_conformal_mapping_reversibility' on page 1 undefi ned on input line 308. File: conformal_mapping_3.png Graphic file (type png) Package pdftex.def Info: conformal_mapping_3.png used on input line 311. (pdftex.def) Requested size: 147.95209pt x 40.95679pt. File: conformal_mapping_4.png Graphic file (type png) Package pdftex.def Info: conformal_mapping_4.png used on input line 312. ... ... @@ -8266,29 +8300,29 @@ line 318. LaTeX Warning: Reference fig_lifting_line_theory' on page 1 undefined on input line 319. File: Velocity_relative_to_airfoil.png Graphic file (type png) Package pdftex.def Info: Velocity_relative_to_airfoil.png used on input line 3 22. (pdftex.def) Requested size: 147.95209pt x 147.95503pt. File: Velocity_relative_to_ground.png Graphic file (type png) Package pdftex.def Info: Velocity_relative_to_ground.png used on input line 32 3. (pdftex.def) Requested size: 147.95209pt x 147.95503pt. File: lift_distribution_2.png Graphic file (type png) Package pdftex.def Info: lift_distribution_2.png used on input line 331. (pdftex.def) Requested size: 369.88586pt x 165.07603pt. File: lift_distribution_3.png Graphic file (type png) Package pdftex.def Info: lift_distribution_3.png used on input line 332. (pdftex.def) Requested size: 369.88586pt x 158.86525pt. File: lift_distribution_4.png Graphic file (type png) Package pdftex.def Info: lift_distribution_4.png used on input line 333. ... ... @@ -8316,7 +8350,7 @@ LaTeX Warning: Reference eq_ns_nondim_two' on page 188 undefined on input line LaTeX Warning: Reference fig_microorganisms' on page 1 undefined on input line 368. File: EMpylori.jpg Graphic file (type jpg) Package pdftex.def Info: EMpylori.jpg used on input line 372. ... ... @@ -8343,7 +8377,7 @@ put line 384. [188 ] File: stokes_flow_sphere_streamlines.png Graphic file (type png) Package pdftex.def Info: stokes_flow_sphere_streamlines.png used on input line ... ... @@ -8429,7 +8463,7 @@ LaTeX Warning: Citation 'cengelcimbala2010' on page 191 undefined on input line LaTeX Warning: Reference fig_water_drops' on page 1 undefined on input line 41 . File: images/water_drops.png Graphic file (type png) Package pdftex.def Info: images/water_drops.png used on input line 49. ... ... @@ -8465,7 +8499,7 @@ l.65 \end{IEEEeqnarray} LaTeX Warning: Reference eq_utheta_cylinder_nolift' on page 192 undefined on i nput line 65. File: images/hangar.png Graphic file (type png) Package pdftex.def Info: images/hangar.png used on input line 77. ... ... @@ -8508,13 +8542,13 @@ LaTeX Warning: Citation 'munsonetal2013' on page 193 undefined on input line 10 LaTeX Warning: Reference fig_sphere_cylinder_drag' on page 193 undefined on in put line 105. File: images/cylinder_sphere_drag_munson_1.png Graphic file (type png) Package pdftex.def Info: images/cylinder_sphere_drag_munson_1.png used on inpu t line 113. (pdftex.def) Requested size: 426.79135pt x 224.06009pt. File: images/cylinder_sphere_drag_munson_2.png Graphic file (type png) Package pdftex.def Info: images/cylinder_sphere_drag_munson_2.png used on inpu ... ... @@ -8542,7 +8576,7 @@ LaTeX Warning: Citation 'munsonetal2013' on page 195 undefined on input line 12 LaTeX Warning: Reference fig_sphere_lift' on page 1 undefined on input line 12 5. File: images/rotating_sphere_munson.png Graphic file (type png) Package pdftex.def Info: images/rotating_sphere_munson.png used on input line ... ... @@ -8564,13 +8598,13 @@ LaTeX Warning: Reference fig_tornado' on page 1 undefined on input line 148. LaTeX Warning: Reference fig_rankine_vortex' on page 1 undefined on input line 148. File: F5_tornado_Elie_Manitoba_2007.jpg Graphic file (type jpg) Package pdftex.def Info: F5_tornado_Elie_Manitoba_2007.jpg used on input line 151. (pdftex.def) Requested size: 213.39568pt x 160.04578pt. File: RankineVortex.png Graphic file (type png) Package pdftex.def Info: RankineVortex.png used on input line 158. ... ... @@ -8855,7 +8889,7 @@ LaTeX Warning: Reference ch_bernoulli' on page 205 undefined on input line 225 LaTeX Warning: Reference ch_bernoulli' on page 205 undefined on input line 225 . File: integration_navierstokes_bernoulli.png Graphic file (type png) Package pdftex.def Info: integration_navierstokes_bernoulli.png used on input ... ... @@ -9019,13 +9053,13 @@ Package logreq Info: Writing requests to 'fluidmech.run.xml'. ) Here is how much of TeX's memory you used: 65251 strings out of 494214 1189848 string characters out of 6166503 65277 strings out of 494214 1190723 string characters out of 6166503 1646316 words of memory out of 5000000 65225 multiletter control sequences out of 15000+600000 969294 words of font info for 1011 fonts, out of 8000000 for 9000 65243 multiletter control sequences out of 15000+600000 969728 words of font info for 1015 fonts, out of 8000000 for 9000 500 hyphenation exceptions out of 8191 100i,17n,108p,10420b,2705s stack positions out of 5000i,500n,10000p,200000b,80000s 100i,17n,108p,10420b,2708s stack positions out of 5000i,500n,10000p,200000b,80000s pdfTeX warning (dest): name{Hfootnote.3} has been referenced but does not exi st, replaced by a fixed one ... ... @@ -9048,10 +9082,10 @@ acy/fxlr.pfb> Output written on fluidmech.pdf (211 pages, 14340580 bytes). Output written on fluidmech.pdf (211 pages, 14870949 bytes). PDF statistics: 3152 PDF objects out of 3580 (max. 8388607) 2678 compressed objects within 27 object streams 1108 named destinations out of 1200 (max. 500000) 105301 words of extra memory for PDF output out of 106986 (max. 10000000) 3168 PDF objects out of 3580 (max. 8388607) 2689 compressed objects within 27 object streams 1111 named destinations out of 1200 (max. 500000) 105316 words of extra memory for PDF output out of 106986 (max. 10000000)
 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 10 APR 2019 22:32 This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/Debian) (preloaded format=pdflatex 2018.10.12) 11 APR 2019 22:09 entering extended mode restricted \write18 enabled. file:line:error style messages enabled. ... ... @@ -3745,6 +3745,11 @@ LaTeX Font Info: Font shape T1/fxl/m/sl' will be (Font) scaled to size 10.0pt on input line 45. LaTeX Font Info: Font shape T1/fxl/m/sc' will be (Font) scaled to size 10.0pt on input line 45. File: simple_pipe_expansion.png Graphic file (type png) Package pdftex.def Info: simple_pipe_expansion.png used on input line 51. (pdftex.def) Requested size: 213.39566pt x 39.83192pt. [39 ... ... @@ -3755,33 +3760,49 @@ pdfTeX warning (ext4): destination with the same identifier (name{equation.2.7. \AtBegShi@Output ...ipout \box \AtBeginShipoutBox \fi \fi l.64 \item W hat is the new pressure drop?pdfTeX warning (ext4): destination w ith the same identifier (name{equation.2.7.21}) has been already used, duplicat e ignored l.60 \item W hat is the pressure change in the water across the expansion?pdfT eX warning (ext4): destination with the same identifier (name{equation.2.7.21}) has been already used, duplicate ignored \AtBegShi@Output ...ipout \box \AtBeginShipoutBox \fi \fi l.64 \item W hat is the new pressure drop?] [40] l.60 \item W hat is the pressure change in the water across the expansion? <./ 2/images/simple_pipe_expansion.png>] File: simple_straight_pipe_valve.png Graphic file (type png) Package pdftex.def Info: simple_straight_pipe_valve.png used on input line 83. (pdftex.def) Requested size: 341.43437pt x 50.36163pt. [40 <./2/images/simple_straight_pipe_valve.png>] File: Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Adour_turbofan_cropped .jpg Graphic file (type jpg) Package pdftex.def Info: Core_section_of_a_sectioned_Rolls-Royce_Turboméca_Ado ur_turbofan_cropped.jpg used on input line 113. (pdftex.def) Requested size: 341.43437pt x 181.90596pt. [41 <./2/illustrations/rr_spey/Core_section_of_a_sectioned_Rolls-Royce_Turbom ca_Adour_turbofan_cropped.jpg>] File: nozzle_plate.png Graphic file (type png) Package pdftex.def Info: nozzle_plate.png used on input line 124. Package pdftex.def Info: nozzle_plate.png used on input line 148. (pdftex.def) Requested size: 213.39566pt x 192.91396pt. [41 <./2/images/nozzle_plate.png>] [42 <./2/images/nozzle_plate.png>] File: simple_converging_diverging_nozzle.png Graphic file (type png) Package pdftex.def Info: simple_converging_diverging_nozzle.png used on input line 153. line 177. (pdftex.def) Requested size: 341.43437pt x 152.59224pt. [42 <./2/images/simple_converging_diverging_nozzle.png>] Excluding 'comment' comment. [43] [44 ]) [43 <./2/images/simple_converging_diverging_nozzle.png>] Excluding 'comment' comment. [44]) \openout2 = 3/chap3.aux'. (./3/chap3.tex ... ... @@ -3791,7 +3812,7 @@ Chapter 3. \openout7 = fluidmech.mtc'. (./fluidmech.mtc5) <1LXlFVtPoCY.jpg, id=805, 642.4pt x 361.35pt> <1LXlFVtPoCY.jpg, id=823, 642.4pt x 361.35pt> File: 1LXlFVtPoCY.jpg Graphic file (type jpg) Package pdftex.def Info: 1LXlFVtPoCY.jpg used on input line 15. ... ... @@ -3800,7 +3821,7 @@ LaTeX Font Info: Font shape T1/fxl/m/sc' will be (Font) scaled to size 6.0pt on input line 15. LaTeX Font Info: Font shape T1/fxl/m/sl' will be (Font) scaled to size 6.0pt on input line 15. File: concept_control_volume_system.png Graphic file (type png) Package pdftex.def Info: concept_control_volume_system.png used on input line ... ... @@ -3809,9 +3830,12 @@ Package pdftex.def Info: concept_control_volume_system.png used on input line [45 <./3/thumbs/1LXlFVtPoCY.jpg>] [46 <./3/images/concept_control_volume_system.pn g>] File: concept_vrel_vecn.png Graphic file (type png) Package pdftex.def Info: concept_vrel_vecn.png used on input line 82. ... ... @@ -3819,7 +3843,7 @@ Package pdftex.def Info: concept_vrel_vecn.png used on input line 82. Package mdframed Info: mdframed works in twoside mode on input line 90. [47 <./3/images/concept_vrel_vecn.png>] Package mdframed Info: mdframed works in twoside mode on input line 114. File: Niccolò Paganini - Caprice No.5 - David Hernando.ogv.jpg Graphic file (t ype jpg) ... ... @@ -3827,7 +3851,7 @@ ype jpg) Package pdftex.def Info: Niccolò Paganini - Caprice No.5 - David Hernando.ogv. jpg used on input line 120. (pdftex.def) Requested size: 103.85237pt x 58.41266pt. File: simple_cv_fnet.png Graphic file (type png) Package pdftex.def Info: simple_cv_fnet.png used on input line 131. ... ... @@ -3836,7 +3860,7 @@ Package pdftex.def Info: simple_cv_fnet.png used on input line 131. <./3/thumbs/Niccolò Paganini - Caprice No.5 - David Hernando.ogv.jpg>] Package mdframed Info: mdframed works in twoside mode on input line 149. File: S6JKwzK37_8.jpg Graphic file (type jpg) Package pdftex.def Info: S6JKwzK37_8.jpg used on input line 169. ... ... @@ -3857,14 +3881,14 @@ File: simple_cv_fnet.png Graphic file (type png) Package pdftex.def Info: simple_cv_fnet.png used on input line 177. (pdftex.def) Requested size: 295.9098pt x 202.28143pt. [49 <./3/images/simple_cv_fnet.png> <./3/thumbs/S6JKwzK37_8.jpg>] File: nmEe7Dq01AU.jpg Graphic file (type jpg) Package pdftex.def Info: nmEe7Dq01AU.jpg used on input line 209. (pdftex.def) Requested size: 103.85237pt x 58.41266pt. [50] Package mdframed Info: mdframed works in twoside mode on input line 215. <4cvGGxTsQx0.jpg, id=922, 642.4pt x 361.35pt> <4cvGGxTsQx0.jpg, id=940, 642.4pt x 361.35pt> File: 4cvGGxTsQx0.jpg Graphic file (type jpg) Package pdftex.def Info: 4cvGGxTsQx0.jpg used on input line 225. ... ... @@ -3879,7 +3903,7 @@ Underfull \hbox (badness 3386) in paragraph at lines 225--225 \T1/fxl/m/n/8 mo-ment ex-erted by the top [] File: simple_cv_mnet.png Graphic file (type png) Package pdftex.def Info: simple_cv_mnet.png used on input line 233. ... ... @@ -3944,12 +3968,12 @@ fier (name{equation.3.8.15}) has been already used, duplicate ignored \fi \fi l.31 \clearpage %handmade] File: pipe_bend.png Graphic file (type png) Package pdftex.def Info: pipe_bend.png used on input line 40. (pdftex.def) Requested size: 213.39566pt x 92.8278pt. File: deflector.png Graphic file (type png) Package pdftex.def Info: deflector.png used on input line 60. ... ... @@ -3957,24 +3981,24 @@ Package pdftex.def Info: deflector.png used on input line 60. [56 <./3/images/pipe_bend.png> <./3/images/deflector.png>] File: water_turbine_blade.png Graphic file (type png) Package pdftex.def Info: water_turbine_blade.png used on input line 85. (pdftex.def) Requested size: 341.43306pt x 104.13438pt. File: bladeplow.png Graphic file (type png) Package pdftex.def Info: bladeplow.png used on input line 124. (pdftex.def) Requested size: 312.9803pt x 437.02007pt. [57 <./3/images/water_turbine_blade.png>] [58 <./3/images/bladeplow.png>] File: cylinder_integral_analysis.png Graphic file (type png) Package pdftex.def Info: cylinder_integral_analysis.png used on input line 153 . (pdftex.def) Requested size: 341.43437pt x 143.64314pt. File: plate_integral_analysis.png Graphic file (type png) Package pdftex.def Info: plate_integral_analysis.png used on input line 183. ... ... @@ -3983,7 +4007,7 @@ Package pdftex.def Info: plate_integral_analysis.png used on input line 183. LaTeX Warning: !h' float specifier changed to !ht'. [59 <./3/images/cylinder_integral_analysis.png>] File: profile_integral_analysis.png Graphic file (type png) Package pdftex.def Info: profile_integral_analysis.png used on input line 213. ... ... @@ -3996,13 +4020,13 @@ Underfull \hbox (badness 10000) in alignment at lines 241--241 [60 <./3/images/plate_integral_analysis.png> <./3/images/profile_integral_analy sis.png>] File: deflector_sideview.png Graphic file (type png) Package pdftex.def Info: deflector_sideview.png used on input line 259. (pdftex.def) Requested size: 426.79135pt x 151.86365pt. [61 <./3/images/deflector_sideview.png>] File: notar.png Graphic file (type png) Package pdftex.def Info: notar.png used on input line 278. ... ... @@ -4010,12 +4034,12 @@ Package pdftex.def Info: notar.png used on input line 278. [62 <./3/images/notar.png>] File: pipe_integral_analysis.png Graphic file (type png) Package pdftex.def Info: pipe_integral_analysis.png used on input line 308. (pdftex.def) Requested size: 256.07741pt x 137.95946pt.