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Study of rarefied shear flow by the discrete velocity method

Published online by Cambridge University Press:  28 March 2006

James E. Broadwell
James E. Broadwell
Affiliation:
TRW Space Technology Laboratories, Redondo Beach, California
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Abstract

The application of a simple discrete velocity model to low Mach number Couette and Rayleigh flow is investigated. In the model, the molecular velocities are restricted to a finite set and in this study only eight equal speed velocities are allowed. The Boltzmann equation is reduced by this approximation to a set of coupled differential equations which can be solved in closed form. The fluid velocity and shear stress in Couette flow are in approximate accord with those of Wang Chang & Uhlenbeck (1954) and of Lees (1959) over the complete range of Knudsen number. Similarly, the Rayleigh flow solution is remarkably like those found by other investigators using moment methods.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 19 , Issue 3 , July 1964 , pp. 401 - 414
Copyright
© 1964 Cambridge University Press

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References

Broadwell, J. E. 1963 Space Technology Laboratories Report No. 9813-6001-RU000.
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Maxwell, J. C. 1890 Scientific Papers, vol. II, p. 26. Cambridge University Press.
Wang Chang, C. S. & Uhlenbeck, G. E. 1954 University of Michigan Engr. Res. Inst. Report No. 1999-1-T.
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