The temperature-jump problem for a variable collision frequency model
Authors:
Open Access
- 1 January 2002
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 14 (1) , 382-391
Abstract
An analytical version of the discrete-ordinates method is used here in the field of rarefied-gas dynamics to solve a version of the temperature-jump problem that is based on a linearized, variable collision frequency model of the Boltzmann equation. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield accurate numerical results for three specific cases: the classical BGK model, the Williams model (the collision frequency is proportional to the magnitude of the velocity), and the rigid-sphere model.Keywords
This publication has 15 references indexed in Scilit:
- Kramers' problem for a variable collision frequency modelEuropean Journal of Applied Mathematics, 2001
- A discrete-ordinates solution for a non-grey model with complete frequency redistributionJournal of Quantitative Spectroscopy and Radiative Transfer, 1999
- Data on Internal Rarefied Gas FlowsJournal of Physical and Chemical Reference Data, 1998
- The Kramers problem: Velocity slip and defect for a hard sphere gas with arbitrary accommodationZeitschrift für angewandte Mathematik und Physik, 1990
- Temperature jump and thermal creep slip: Rigid sphere gasPhysics of Fluids A: Fluid Dynamics, 1989
- Temperature jump and Knudsen layer in a rarefied gas over a plane wall: Numerical analysis of the linearized Boltzmann equation for hard-sphere moleculesPhysics of Fluids A: Fluid Dynamics, 1989
- Boundary-value problems in the kinetic theory of gases Part I. Slip flowJournal of Fluid Mechanics, 1969
- Model Dependence of the Temperature Slip CoefficientThe Physics of Fluids, 1968
- The method of elementary solutions for kinetic models with velocity-dependent collision frequencyAnnals of Physics, 1966
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component SystemsPhysical Review B, 1954