Stationary, One-Dimensional Fluid Flows of Incompressible, Viscous Fluids

Abstract

In this chapter, flows of viscous fluids (μ ≠ 0) are considered which are stationary and two-dimensional. They are assumed to occur in fluids of constant density and, in addition, the fluid is assumed to be fully developed in the flow direction. The simplified equations determining this class of flow can be derived from the general equations of fluid mechanics and the resultant equations are basically one-dimensional. They are, moreover, for a number of boundary conditions, accessible to analytical solutions and thus well suited for students of natural and engineering sciences to provide to them an introduction into fluid mechanics of viscous fluids. The basic knowledge gained by studying these fluid flows can then be deepened in specialized lectures. In this way, the knowledge of how flows of viscous fluids behaves in one-dimensional flow cases can be extended and used for the solution of practical flow problems.