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Direct simulation Monte Carlo calculations of rarefied flows with incomplete surface accommodation

Published online by Cambridge University Press:  26 April 2006

R. G. Lord
R. G. Lord
Affiliation:
Oxford University, Department of Engineering Science, Parks Road, Oxford, UK
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Abstract

Effects of incomplete surface accommodation in rarefied gas flows have been studied using the direct simulation Monte Carlo (DSMC) method in conjunction with the Cercignani–Lampis gas–surface interaction model. Two different flows have been studied, both of which have previously been simulated in DSMC calculations for the case of complete surface accommodation. These are (a) the flow over a sharp, slender circular cone at Mach 5.1 and (b) the flow over a flat-faced circular cylinder at Mach 25. In each case, the gas simulated was nitrogen. It was found that in case (a) the accommodation coefficient of the kinetic energy due to the tangential component of velocity has the greatest influence, whereas in case (b) that of the normal component is also important, having a drastic effect on the rarefied flow field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 239 , June 1992 , pp. 449 - 459
Copyright
© 1992 Cambridge University Press

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References

Babovsky, H., Gropengiesser, F., Neunzert, H. & Struckmeier, J., 1989 Low-discrepancy methods for the Boltzmann equation. In Rarefied Gas Dynamics, 16th Symp. (ed. E. P. Muntz, D. P. Weaver & D. H. Campbell), vol. 118, p. 85. AIAA.
Bird, G. A.: 1976 Molecular Gas Dynamics. Clarendon.
Bird, G. A.: 1985 Hypersonic flow past a slender cone. In Rarefied Gas Dynamics, 13th Symp. (ed. O. M. Belotserkovskii, M. N. Kogan, S. S. Kutateladze & A. K. Rebrov), vol. 1, p. 349. Plenum.
Boyd, I. D.: 1990 Rotational–translational energy transfer in rarefied nonequilibrium flows. Phys. Fluids A 2, 447.Google Scholar
Boyd, I. D.: 1991 Monte Carlo study of vibrational relaxation processes. In Rarefied Gas Dynamics, 17th Symp. (ed. A. E. Beylich), p. 793. VCH, Weinheim, Germany.
Cercignani, C.: 1971 Models for gas–surface interactions: comparison between theory and experiment. In Rarefied Gas Dynamics, 7th Symp. (ed. D. Dini), vol. 1, p. 75. Editrice Technico Scientifica.
Cercignani, C. & Lampis, M., 1971 Kinetic models for gas–surface interactions. Transport Theory Stat. Phys. 1, 101.Google Scholar
Cercignani, C. & Frezzotti, A., 1989 Numerical simulation of supersonic rarefied gas flows past a flat plate: effects of the gas–surface interaction model on the flowfield. In Rarefied Gas Dynamics, 16th Symp. (ed. E. P. Muntz, D. P. Weaver & D. H. Campbell), vol. 118, p. 552. AIAA.
Coleman, G. T., Metcalf, S. C. & Berry, C. J., 1977 Heat transfer to hemisphere cylinders and bluff cylinders between continuum and free molecular limits. In Rarefied Gas Dynamics, 10th Symp. (ed. J. L. Potter), vol. 51, part 1, p. 393. AIAA.
Dahlen, G. A. & Brundin, C. L., 1985 Wall temperature effects on rarefied hypersonic cone drag. In Rarefied Gas Dynamics, 13th Symp. (ed. O. M. Belotserkovskii, M. N. Kogan, S. S. Kutateladze and A. K. Rebrov), vol. 1, p. 453. Plenum.
Davis, J., Dominy, R. G., Harvey, J. K. & Macrossan, M. N., 1983 An evaluation of some collision models used for Monte Carlo calculations of diatomic rarefied hypersonic flows. J. Fluid Mech. 135, 355.Google Scholar
Harvey, J. K.: 1989 Inelastic collision models for Monte Carlo simulation computation. In Rarefied Gas Dynamics, 16th Symp. (ed. E. P. Muntz, D. P. Weaver & D. H. Campbell), vol. 117, p. 3. AIAA.
Kuscer, I.: 1971 Reciprocity in scattering of gas molecules by surfaces. Surface Sci. 25, 225.Google Scholar
Kuscer, I.: 1974 Phenomenology of gas–surface accommodation. In Rarefied Gas Dynamics, 9th Symp. (ed. M. Becker & M. Fiebig), vol. 2, Paper E1. DFVLR Press, Porz-Wahn, Germany.
Legge, H. & Dankert, C., 1981 Influence of incomplete accommodation in wind tunnel experiments on heat transfer and drag of sharp cones in the transition regime. In Rarefied Gas Dynamics, 12th Symp. (ed. S. S. Fisher), vol. 74, Part 2, p. 964. AIAA.
Lord, R. G.: 1991 Application of the Cercignani–Lampis scattering kernel to direct simulation Monte Carlo calculations. In Rarefied Gas Dynamics, 17th Symp. (ed. A. E. Beylich), p. 1427. VCH, Weinheim, Germany.
Macrossan, M. N.: 1983 Diatomic collision models used in the Monte Carlo direct simulation method applied to rarefied hypersonic flows. PhD thesis, Department of Aeronautics, Imperial College, University of London.
Marriott, P. & Harvey, J. K., 1991 New approach for modelling energy exchange and chemical reactions in the direct simulation Monte Carlo method. In Rarefied Gas Dynamics, 17th Symp. (ed. A. E. Beylich), p. 784. VCH, Weinheim, Germany.
Metcalf, S. C., Coleman, G. T. & Berry, C. J., 1974 Heat transfer to bluff faced and hemispherical faced cylinders between continuum and free molecular flow limits. In Rarefied Gas Dynamics, 9th Symp. (ed. M. Becker & M. Fiebig), vol. 2, Paper D16. DFVLR Press, Porz-Wahn, Germany.
Pullin, D. I., Davis, J. & Harvey, J. K., 1977 Monte Carlo calculations of the rarefied transition flow past a bluff faced cylinder. In Rarefied Gas Dynamics, 10th Symp. (ed. J. L. Potter), vol. 51, Part 1, p. 379. AIAA.