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A note on Mott-Smith's solution of the Boltzmann equation for a shock wave

Published online by Cambridge University Press:  28 March 2006

Akira Sakurai
Akira Sakurai
Affiliation:
Department of Applied Mathematics, Weizmann Institute of Science, Israel
Now at Tokyo Electrical Engineering College, Kanda, Tokyo.
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Abstract

After a Modification, the interpolation formula of Mott-Smith (1951) for the shock wave problem is found to be a solution of the Boltzmann equation at large Mach number in a finite region of molecular velocity space. This modification gives a unique determination of the shock wave thickness, removing the ambiguity for this in Mott-Smith's formula.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 3 , Issue 3 , December 1957 , pp. 255 - 260
Copyright
© 1957 Cambridge University Press

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References

Chapman, S. & Cowling, T. G. 1953 Mathematical Theory of Non-uniform Gases. Cambridge University Press.
Mott-Smith, H. M. 1951 Phys. Rev. 82, 885.
Rosen, P. 1954 J. Chem. Phys. 22, 1045.
Talbot, L. & Sherman, F. S. 1956 Institute of Engineering Research, University of California Rep. no. HE-150-137.