Transcription of Chapter 6 SOLUTION OF VISCOUS-FLOW PROBLEMS
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Chapter 6 SOLUTION OF VISCOUS-FLOW PROBLEMS
Chapter 6 SOLUTION OF VISCOUS-FLOW IntroductionTHE previous Chapter contained derivations of the relationships for the con-servation of mass and momentum|theequations of motion|in rectangular,cylindrical, and spherical coordinates. All the experimental evidence indicatesthat these are indeed the most fundamental equations of uid mechanics, and thatin principle they govern any situation involving the ow of a Newtonian , because of their all-embracing quality, their SOLUTION in analyticalterms is di cult or impossible except for relatively simple situations. However,it is important to be aware of these \Navier-Stokes equations," for the followingreasons:1. They lead to the analytical and exact SOLUTION of some simple, yet importantproblems, as will be demonstrated by examples in this They form the basis for further work in other areas of chemical If a few realisticsimplifying assumptionsare made, they can often lead toapproximate solutions that are eminently acceptable for many engineeringpurposes.
problems, as will be demonstrated by examples in this chapter. 2. They form the basis for further work in other areas of chemical engineering. ... waves, lubrication, coating of substrates with fllms, and inviscid (irrotational) °ow. 4. With the aid of more sophisticated techniques, such as those involving power ... common interface. (b ...
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