A concise and accurate solution for Poiseuille flow in a plane channel
- 1 December 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (12) , 2760-2763
- https://doi.org/10.1063/1.524396
Abstract
The recently developed FN method of solving problems in particle transport theory is used to establish a concise and accurate solution for the flow of a rarefied gas between two parallel plates. The Bhatnagar, Gross, and Krook model is used, and numerical results are given for a wide range of the Knudsen number.Keywords
This publication has 11 references indexed in Scilit:
- Some exact numerical results for the BGK model: Couette, Poiseuille and thermal creep flow between parallel platesZeitschrift für angewandte Mathematik und Physik, 1979
- The FN Method in Neutron-Transport Theory. Part I: Theory and ApplicationsNuclear Science and Engineering, 1979
- Rigorous constructive solution to monodimensional poiseuille and thermal creep flowsMeccanica, 1976
- Model Dependence of the Slip CoefficientPhysics of Fluids, 1967
- Linearized Boundary Value Problem for a Gas and Sound PropagationPhysics of Fluids, 1966
- Plane Poiseuille flow according to the method of elementary solutionsJournal of Mathematical Analysis and Applications, 1965
- Flow of a Rarefied Gas between Two Parallel PlatesJournal of Applied Physics, 1963
- Elementary solutions of the linearized gas-dynamics boltzmann equation and their application to the slip-flow problemAnnals of Physics, 1962
- Elementary solutions of the transport equation and their applicationsAnnals of Physics, 1960
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component SystemsPhysical Review B, 1954