Dynamic Reversibility in Fluid Flows

Abstract

This note points out the relatively simple character of dynamically reversible flows. A flow is said to be dynamically reversible if the reversed flow is possible under the action of suitable forces. The velocity field in the case of such flows of a Newtonian fluid subjected to conservative body forces can be decomposed into two parts, one satisfying Laplace’s equation and the other, the conduction equation. An integral similar to Bernoulli’s integral can also be found. In addition, the vorticity in two-dimensional flows is constant along a streamline. The property of dynamic reversibility is enjoyed by many flows such as irrotational flows, unidirectional flow through pipes, and two-dimensional axisymmetric vortexes.