Considerations on the Reynolds’ Transport Theorem

The Reynolds' transport theorem deals with the rate of change of an extensive property, N, of a fluid in a control volume. Its purpose is to provide a link between the concepts associated to the control volumesand those associated to systems. The Reynolds' transport theorem is something extremely important in the formulation of the basic laws of fluid dynamics, which are the mass conservation equation, momentum conservation equationsand the energy conservation equation. This paper aims to propose an approach of the Reynolds' Transport Theorem for finite control volume equations for mass, momentum and energy.