Velocity distribution for a gas with steady heat flow
- 1 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (1) , 320-327
- https://doi.org/10.1103/physreva.39.320
Abstract
An exact solution to the nonlinear Bhatnagar-Gross-Krook kinetic equation representing heat transport in one direction is obtained. The velocity distribution function is given explicitly and illustrated for both small and large temperature gradients. The Chapman-Enskog expansion for this function is proved to be divergent but asymptotic. Also, the relationship of this solution to infinite hierarchies of moment equations is discussed. In the following paper this special solution is analyzed in the context of more physical boundary-value problems.Keywords
This publication has 6 references indexed in Scilit:
- Heat and momentum transport far from equilibriumPhysical Review A, 1987
- Kinetic model for steady heat flowPhysical Review A, 1986
- Divergence of the Chapman-Enskog ExpansionPhysical Review Letters, 1986
- Experimental determination of the velocity distribution in a dilute heat-conducting gasChemical Physics Letters, 1980
- Nonlinear shear viscosity of a gasThe Journal of Chemical Physics, 1979
- Asymptotic Theory of the Boltzmann EquationPhysics of Fluids, 1963