...
 
Commits (2)
\renewcommand{\lastedityear}{2019}
\renewcommand{\lasteditmonth}{03}
\renewcommand{\lasteditday}{29}
\renewcommand{\lasteditmonth}{04}
\renewcommand{\lasteditday}{10}
\renewcommand{\numberofthischapter}{2}
\renewcommand{\titleofthischapter}{\namechaptertwotitle}
......@@ -197,8 +197,8 @@
\begin{IEEEeqnarray}{rCl}
\left\{ \begin{array}{rcl}
F_{\net x} & = & |\dot m| \left(V_{2x} - V_{1x} \right)\\
F_{\net x} & = & |\dot m| \left(V_{2x} - V_{1x} \right)\\
F_{\net x} & = & |\dot m| \left(V_{2x} - V_{1x} \right)\\
F_{\net y} & = & |\dot m| \left(V_{2y} - V_{1y} \right)\\
F_{\net z} & = & |\dot m| \left(V_{2z} - V_{1z} \right)\\
\end{array}\right.
\end{IEEEeqnarray}
......@@ -339,7 +339,7 @@
\end{IEEEeqnarray*}
Dividing by $|\dot m|$ and canceling $i_\cst$, as follows,
\begin{IEEEeqnarray*}{rCl}
0 &=& -\left(i_\cst + \frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_1 + \left(i\cst + \frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_2\nonumber\\
0 &=& -\left(i_\cst + \frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_1 + \left(i_\cst + \frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_2\nonumber\\
0 &=& -\left(\frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_1 + \left(\frac{p}{\rho_\cst} + \frac{1}{2} V^2 + g z \right)_2
\end{IEEEeqnarray*}
and multiplying by the (constant and uniform) density $\rho$, we obtain the \vocab{Bernoulli equation}, with all terms having dimensions of pressure:
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[0] Config.pm:302> INFO - This is Biber 2.9
[1] Config.pm:305> INFO - Logfile is 'fluidmech.blg'
[47] biber:313> INFO - === Wed Apr 3, 2019, 11:01:14
[75] Biber.pm:371> INFO - Reading 'fluidmech.bcf'
[175] Biber.pm:857> INFO - Found 19 citekeys in bib section 0
[196] Biber.pm:3981> INFO - Processing section 0
[217] Biber.pm:4154> INFO - Looking for bibtex format file '/home/olivier/.fluidmechbib.bib' for section 0
[219] bibtex.pm:1468> INFO - LaTeX decoding ...
[275] bibtex.pm:1294> INFO - Found BibTeX data source '/home/olivier/.fluidmechbib.bib'
[475] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable'
[475] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized'
[475] Biber.pm:3809> INFO - Sorting list 'ynt/global//global/global' of type 'entry' with template 'ynt' and locale 'en-US'
[476] Biber.pm:3815> INFO - No sort tailoring available for locale 'en-US'
[509] bbl.pm:617> INFO - Writing 'fluidmech.bbl' with encoding 'UTF-8'
[518] bbl.pm:720> INFO - Output to fluidmech.bbl
[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
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