h3. Inlet Manifold Equations
!Inlet manifold.PNG!

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

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

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



{latex}