Consider the general form of the Reynolds transport theorem (RTT) given by

where V_r(vector) is the velocity of the fluid relative to the control surface. Let B_sys be the mass m of a closed system of fluid particles. We know that for a system, dm/dt = 0 since no mass can enter or leave the system by definition. Use the given equation to derive the equation of conservation of mass for a control volume

Transcribed Image Text:

dB sys dt d - af mav + [v pb dt JCV JCS pbV, ñ dA