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A unified kinetic theory approach to external rarefied gas flows. Part 2. Application to a steady low-speed motion past a circular cylinder

Published online by Cambridge University Press:  29 March 2006

H. Atassi  and
S. F. Shen
H. Atassi
Affiliation:
University of Notre Dame
S. F. Shen
Affiliation:
Cornell University
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Abstract

The Navier-Stokes like equation derived by Atassi & Shen for low-speed rarefied flows is analysed for a circular geometry. Asymptotic solutions for both Kn [Lt ] 1 and Kn B [Gt ] 1 are deduced using the method of matched asymptotic expansions. For Kn [Lt ] 1, fust- and second-order solutions are obtained and compared with the corresponding BGK treatment. For Kn [Gt ] 1, this equation is used only to describe the far field, the inner solution being of the free-molecule type. The matching procedure leads to a blockage correction for the drag and heat-transfer rate. Results are compared with other theories and known experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 3 , 13 June 1972 , pp. 433 - 449
Copyright
© 1972 Cambridge University Press

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