Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-04T18:18:59.456Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.