Considerations on the Transport-Theorem for Extensive Flow Properties

Abstract

The transport theorem plays a significant roll in the representation of the balance equations in fluid mechanics. By this is meant the substantial derivatives (material time derivatives) of certain flow properties. These properties can be intensive as well as extensive. The latter group concerns, for example, volume or line properties. Volume properties consist of the volume itself, the mass, the momentum and moment of momentum, the energy in its different forms (kinetic, potential, internal energy, enthalply) as well as also the entropy. Line properties include particularly the circulation as the instantaneous line integral of the flow velocity. Several possibilities exist for the determination of the desired substantial derivatives.