Abstract
The combined effect of a variable collision frequency and a correct Prandtl number on the structure of a Knudsen layer is investigated. A new collision model having both properties, but simple enough to be amenable to a simple solution, is proposed and used to solve the problem. Results turn out to be in exceptionally good agreement with the experimental data of Reynolds, Smolderen and Wendt.
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References
Cercignani, C. Mathematical Methods in Kinetic Theory. Plenum Press, New York (1969)
Cercignani, C. Theory and Application of the Boltzmann Equation. Scottish Academic Press, Edinburgh, and Elsevier, New York (1975)
Boltzmann, L. Sitzungsberichte Akad. Wiss., 66, 11 (1872)
Kramers, H.A. Nuovo Cimento Suppl. 6, 297 (1949)
Wang Chang, C.S. and Uhlenbeck, G.E. Univ. of Michigan Eng. Research Inst. Rept. 2457 – 1 - T (August, 1956)
Gross, E.P. and Ziering, S. Phys. of Fl., 1, 215 (1958)
Bakanov, S.P. and Deryagin, B.V. Dokl. Akad. Nauk SSSR, 139, 71 (1961)
Bakanov, S.P. and Deryagin, B.V. translated in: Sov. Phys. Dokl., 6, 588 (1962)
Cercignani, C. Nuovo Cimento, X, 27, 1240 (1963)
Willis, D.R. Phys. of Fluids, 5, 127 (1962)
Cercignani, C. Ann. of Phys. (N.Y.), 20, 219 (1962)
Cercignani, C. Ann. of Phys. (N.Y.), 40, 469 (1966)
Cercignani, C. and Tironi, G. Nuovo Cimento, 43, 64 (1966)
Loyalka, S.K. Phys. of Fluids, 18, 1666 (1975)
Reynolds, M.A., Smolderen, J.J. and Wendt, J.F. in Rarefied Gas Dynamics, edited by M. Becker and M. Fiebig, Vol. I, p. A-21, DFVLR-Press, Porz-Wahn, Germany (1974)
Rixen, W. and Adomeit, G. in Rarefied Gas Dynamics, edited by M. Becker and M. Fiebig, Vol. I, p. B-18, DFVLR-Press, Porz-Wahn, Germany (1974)
Holway jr., L.H. Ph. D. Thesis, Harvard (1963)
Cercignani, C. in Rarefied Gas Dynamics, edited by J.L. Potter, Part II, 795, AIAA, New York (1977)
Gorelov, S.L. and Kogan, M.N. Izv. AN SSSR, Mekl. Zhid. Gaza, 3, 136 (1968)
Gorelov, S.L. and Kogan, M.N. translated in: Fluid Dynamics 3, 96 (1968)
Bird, G.A. in “Rarefied Gas Dynamics”, edited by J.L. Potter, Vol. I, p.323, AIAA, New York (1976)
Chapman, S. and Cowling, T.G. The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, Cambridge (1952)
Cercignani, C. Phys. of Fluids, 10, 1859 (1967)
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Cercignani, C. (1979). Knudsen Layers. Theory and Experiment. In: Müller, U., Roesner, K.G., Schmidt, B. (eds) Recent Developments in Theoretical and Experimental Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67220-0_20
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DOI: https://doi.org/10.1007/978-3-642-67220-0_20
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