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Continuum equations in the dynamics of rarefied gases

Published online by Cambridge University Press:  28 March 2006

Max Krook
Max Krook
Affiliation:
Harvard University and Smithsonian Astrophysical Observatory
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Abstract

A procedure is given for translating boundary-value problems of gas dynamics from microscopic form into approximately equivalent continuum form. The continuum formulations involve state-variables that are either half-space moments, or complete moments of the molecular distribution functions. Moment equations derived from the kinetic equations are reduced to a determinate set by representing the distribution functions as sums of ‘modified Maxwellian functions based on various characteristic temperatures and velocities’. The particular choice of such a representation depends on the Knudsen number and on the nature of the microscopic boundary conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 6 , Issue 4 , November 1959 , pp. 523 - 541
Copyright
© 1959 Cambridge University Press

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References

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