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Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition by Christie John Geankoplis

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3.9. OTHER METHODS FOR SOLUTION OF DIFFERENTIAL EQUATIONS OF MOTION

3.9A. Introduction

In Section 3.8 we considered examples where the Navier-Stokes differential equations of motion could be solved analytically. These cases were used where there was only one non-vanishing component of the velocity. To solve these equations for flows in two and three directions is quite complex.

In this section we will consider some approximations that simplify the differential equations to allow us to obtain analytical solutions. Terms will be omitted which are quite small compared to the terms retained.

Three cases will be considered in this section: inviscid flow, potential flow, and creeping flow. The fourth case, for boundary-layer flow, will be considered ...

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