Consider the general form of the Reynolds transport theorem (RTT) given bywhere  is the ve...

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

where  is the velocity of the fluid relative to the control surface. Let Bsys be the mass m of a system of fluid particles. We know that for a system, dmldt =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.