Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-19T06:28:12.451Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary-value problems in the kinetic theory of gases. Part 2. Thermal creep

Published online by Cambridge University Press:  29 March 2006

M. M. R. Williams
M. M. R. Williams
Affiliation:
Nuclear Engineering Department, Queen Mary College, University of London
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of a temperature gradient in a gas inclined at an angle to a boundary wall has been investigated. For an infinite half-space of gas it is found that, in addition to the conventional temperature slip problem, the component of the temperature gradient parallel to the wall induces a net mass flow known as thermal creep. We show that the temperature slip and thermal creep effects can be decoupled and treated quite separately.

Expressions are obtained for the creep velocity and heat flux, both far from and at the boundary; it is noted that thermal creep tends to reduce the effective thermal conductivity of the medium.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 4 , 26 February 1971 , pp. 759 - 768
Copyright
© 1971 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

Kennard, E. H. 1938 Kinetic Theory of Gases. McGraw-Hill.
Loyalka, S. K. 1968 J. Chem. Phys. 48, 5432.
Loyalka, S. K. 1969 Phys. Fluids, 12, 2301.
Loyalka, S. K. & Ferziger, J. H. 1968 Phys. Fluids, 11, 1668.
Sone, Y. & Yamamoto, K. 1968 Phys. Fluids, 11, 1672.
Welander, P. 1954 Ark. Fys. 7, 507.
Williams, M. M. R. 1969 J. Fluid Mech. 36, 145.
Williams, M. M. R. 1970 Seventh Int. Symp. on Rarefied Gas Dynamics.
Williams, M. M. R. & Spain, J. 1970 J. Fluid Mech. 42, 85.