Kinetic Theory of Linear Shear Flow

Author:

Gross E. P.,Ziering S.

Publisher

AIP Publishing

Subject

General Engineering

Reference9 articles.

1. C. S. Wang Chang and G. E. Uhlenbeck, “Couette flow between parallel plates,” University of Michigan Project 1999-1-T, June, 1954. This paper is one in a series of stimulating reports, (1948 to date), by Chang and Uhlenbeck. There, a number of problems involving the linearized Boltzmann equation were clearly formulated, and methods of solution were developed which were based on full range expansions of the velocity distribution. We start from this formulation, and are able to use a number of their calculations, as well as those of Mott-Smith3; particularly those dealing with the Boltzmann collision operator. As explained in I, the method of solution which we adopt, based on Yvon’s idea of half-range distributions, is quite different. The full range expansions of Chang and Uhlenbeck and Mott-Smith have much in common with Grad’s approach to the nonlinear Boltzmann equation (cf. reference 4).

2. H. M. Mott-Smith, “New approach in kinetic theory,” Lincon Laboratory Rept. V2 (December, 1954).

3. H. T. Yang and L. Lees, “Hypersonic research project memorandum No. 36” (February 1, 1957).

4. A survey of the field is published in: R. E. Street, “Problem of slip flow in aerodynamics,” NACA Research Memorandum 57A30.

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