FCV conversion

For practical reasons, we would again like to convert the momentum equation into one for a fixed control volume.

To do this, we again use the Leibnitz rule on the components of the momentum equation for the material region that instantaneously coincides with the fixed control volume:

Hence, for the same reasons as for the continuity equation, Again, we get a surface integral as an outflow correction in addition to what we have in physics. Note the additional in this integral compared to the continuity integral: we are now integrating momentum flowing out, not mass flowing out.

You should now be able to do questions 5.1, 5.11, 5.12, 5.13, 5.14