Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere molecules
- 1 February 1989
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 1 (2) , 363-370
- https://doi.org/10.1063/1.857457
Abstract
A semi‐infinite expanse of a rarefied gas over a plane wall where there is a constant heat flow normal to the wall from infinity is considered. The behavior of the gas is analyzed numerically by a finite difference method on the basis of the standard linearized Boltzmann equation for hard‐sphere molecules with diffuse reflection at the wall. From the result the temperature jump coefficient and its associated Knudsen layer of a slightly rarefied gas flow around a body are derived.Keywords
This publication has 10 references indexed in Scilit:
- Steady gas flows past bodies at small Knudsen numbersTransport Theory and Statistical Physics, 1987
- The milne and kramers problems for the boltzmann equation of a hard sphere gasCommunications on Pure and Applied Mathematics, 1986
- Kinetic Theory of Evaporation and Condensation –Hydrodynamic Equation and Slip Boundary Condition–Journal of the Physics Society Japan, 1978
- Analytic solution of the temperature jump problem for the BGK modelTransport Theory and Statistical Physics, 1977
- Kinetic Theory of Evaporation and CondensationJournal of the Physics Society Japan, 1973
- Half-space problems in the kinetic theory of gasesPhysics of Fluids, 1973
- Model Dependence of the Temperature Slip CoefficientPhysics of Fluids, 1968
- Effect of Sudden Change of Wall Temperature in Rarefied GasJournal of the Physics Society Japan, 1965
- Heat Flow Between Parallel PlatesPhysics of Fluids, 1959
- SOLUTION OF THE BOLTZMANN-HILBERT INTEGRAL EQUATION II. THE COEFFICIENTS OF VISCOSITY AND HEAT CONDUCTIONProceedings of the National Academy of Sciences, 1957