Momentum Governing Equations
From charlesreid1
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The momentum governing equation can be obtained from Reynolds Transport Theorem by setting $ B $ equal to the momentum,
$ B = \rho \boldsymbol{v} $
where $ \boldsymbol{v} $ is the mass-average velocity of the fluid.
The material volume associated with the momentum is denoted $ V_{\rho v}^{M} $ and is the control volume that moves such that the net flux of momentum across its surface is zero. The surface bounding this material volume is $ S_{\rho v}^{M} $.
The velocity at which this material volume moves is $ \boldsymbol{v} $, the mass-average volume
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