Explain the literal meaning of each integral on the right si

Explain the literal meaning of each integral on the right side of the conservation of linear momentum equation below. sigmaF_x)_external = partial differential/partial differential integral_CV u p dV + integral_CS u p V^rightarrow middot n^^dA partial differential/partial differential integral u p dV means what? Integral u p V^rightarrow middot dA means what?

Solution

The first term on the right-hand side of the equation is the rate of change in momentum stored in the control volume, and the second term is the momentum flux through the control volume.