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Mass flow rate for nearly-free molecular slit flow

Published online by Cambridge University Press:  28 March 2006

J. Daniel Stewart
J. Daniel Stewart
Affiliation:
Aerospace Corporation El Segundo, California
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Abstract

The local and average mass flow rates for nearly free molecular flow through a two-dimensional slit are determined for several tank pressure ratios. The equilibrium gas in the two tanks and the container walls are assumed to be at the same temperature and the Willis iterative method with the Bhatnager-Gross-Krook model is used for the analysis. The results for an infinite pressure ratio are also presented in order to illustrate the effects of a finite pressure ratio.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 599 - 608
Copyright
© 1969 Cambridge University Press

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References

Bhatnager, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.
Chahine, M. T. & Narasimha, R. 1963 Jet Propulsion Laboratory Rep. no. 32–459.
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Liepmann, H. W. 1960 J. Fluid Mech. 10, 65.
Narasimha, R. 1961 J. Fluid Mech. 10, 371.
Stewart, J. D. 1967 Ph.D. Thesis, Georgia Institute of Technology, Atlanta, Georgia.
Willis, D. R. 1958 Princeton University Aeronautical Engineering Laboratory Rep. no. 440.
Willis, D. R. 1960 Royal Institute of Technology, Kth Aero TN 52.
Willis, D. R. 1964 Princeton University Aeronautical Engineering Rep. no. 683.
Willis, D. R. 1965 J. Fluid Mech. 21, 21.