Governing equations on differential form: Difference between revisions

@@ Line 288: / Line 288: @@
 ==== Enthalpy Formulation ====
-\[h=e+\frac{p}{\rho}\Rightarrow \frac{Dh}{Dt}=\frac{De}{Dt}+\frac{1}{\rho}\frac{Dp}{Dt}+p\frac{D}{Dt}\left(\frac{1}{\rho}\right)\]\\
+<math display="block">
+h=e+\frac{p}{\rho}\Rightarrow \frac{Dh}{Dt}=\frac{De}{Dt}+\frac{1}{\rho}\frac{Dp}{Dt}+p\frac{D}{Dt}\left(\frac{1}{\rho}\right)
+</math>
-\noindent with $De/Dt$ from Eqn. \ref{eq:governing:energy:non:b}\\
+with <math>De/Dt</math> from Eqn. \ref{eq:governing:energy:non:b}
-\[\frac{Dh}{Dt}=\dot{q} - \cancel{p\frac{D}{Dt}\left(\frac{1}{\rho}\right)} +\frac{1}{\rho}\frac{Dp}{Dt}+\cancel{p\frac{D}{Dt}\left(\frac{1}{\rho}\right)}\]\\
+<math display="block">
+\frac{Dh}{Dt}=\dot{q} - \cancel{p\frac{D}{Dt}\left(\frac{1}{\rho}\right)} +\frac{1}{\rho}\frac{Dp}{Dt}+\cancel{p\frac{D}{Dt}\left(\frac{1}{\rho}\right)}
+</math>
-\begin{equation}
+<math display="block">
 \frac{Dh}{Dt}=\dot{q} + \frac{1}{\rho}\frac{Dp}{Dt}
-\label{eq:governing:energy:non:c}
+</math>
-\end{equation}\\
 ==== Total Enthalpy Formulation ====

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