h3. Inlet Manifold Equations
!Inlet manifold.PNG!

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\large
$$
\Delta H_{\exp ansion}  = {{\left( {V_{in}  - V_{out} } \right)V_{out} } \over g}
$$

$$
\sum\limits_{i = 1}^{n - 1} {\Delta H_{\exp ansion}  = {{V_M ^2 } \over g}{{n - 1} \over {2n}} \to {\rm{Approaches}}\;} {{V_M ^2 } \over g}\;{\rm{for}}\;{\rm{large}}\;{\rm{n}}
$$

$$
{\rm{where }}V_M  = {\rm{velocity}}\;{\rm{in}}\;{\rm{the}}\;{\rm{manifold}}
$$
$$
V_{in} \;{\rm{and}}\;V_{out} \;{\rm{are}}\;{\rm{the}}\;{\rm{velocities}}\;{\rm{before}}\;{\rm{and}}\;{\rm{after}}\;{\rm{the}}\;{\rm{expansion}}
$$



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