3.8. USE OF DIFFERENTIAL EQUATIONS OF CONTINUITY AND MOTION

3.8A. Introduction

The purpose and uses of the differential equations of motion and continuity, as mentioned previously, are to apply these equations to any viscous-flow problem. For a given specific problem, the terms that are zero or near zero are simply discarded and the remaining equations used to solve for the velocity, density, and pressure distributions. Of course, it is necessary to know the initial conditions and the boundary conditions to solve the equations. Several examples will be given to illustrate the general methods used.

We will consider cases for flow in specific geometries that can easily be described mathematically, such as flow between parallel plates and in cylinders. ...

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