September 2005
Intermediate to advanced
784 pages
21h 6m
English
book
Fluid Mechanics for Chemical Engineers with Microfluidics and CFD, Second Edition
by James O. Wilkes
Content preview from Fluid Mechanics for Chemical Engineers with Microfluidics and CFD, Second Edition
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Chapter 6. Solution of Viscous-Flow Problems
6.1. Introduction
The previous chapter contained derivations of the relationships for the conservation of mass and momentum—the equations of motion—in rectangular, cylindrical, and spherical coordinates. All the experimental evidence indicates that these are indeed the most fundamental equations of fluid mechanics, and that in principle they govern any situation involving the flow of a Newtonian fluid. Unfortunately, because of their all-embracing quality, their solution in analytical terms is difficult or impossible except for relatively simple situations. However, it is important to be aware of these “Navier-Stokes equations,” for the following reasons:
1. They lead to the analytical and exact ...
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