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Gaskinetic Solutions for High Knudsen Number Planar Jet Impingement Flows

Published online by Cambridge University Press:  03 June 2015

Chunpei Cai  and
Chun Zou
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Abstract

This paper presents a gaskinetic study and analytical results on high speed rarefied gas flows from a planar exit. The beginning of this paper reviews the results for planar free jet expanding into a vacuum, followed by an investigation of jet impingement on normally set plates with either a diffuse or a specular surface. Presented results include exact solutions for flowfield and surface properties. Numerical simulations with the direct simulation Monte Carlo method were performed to validate these analytical results, and good agreement with this is obtained for flows at high Knudsen numbers. These highly rarefied jet and jet impingement results can provide references for real jet and jet impingement flows.

Keywords

98.58.Fd47.45.Ab52.25.Fi52.55.Fa52.35.PyGaskinetic theoryjetjet impingementMonte Carlo method
Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 4 , October 2013 , pp. 960 - 978
Copyright
Copyright © Global Science Press Limited 2013

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References

[1]Campargue, R., Historical account and branching to rarefied gas dynamics of atomic & molecular beams: a continuing and fascinating odyssey commemorated by Nobel prizes awarded to 23 laureates in physics & chemistry, AIP Conference Proceeding, RGD24 International Symposium on Rarefied Gas Dynamics, Volume 762, Bari, Italy, July, 2005, pp. 32–46.Google Scholar
[2]Sanna, G., and Tomassetti, G., Introduction to Molecular Beams Gas Dynamics, Imperial College Press, London, 2005.Google Scholar
[3]Maev, R. and Leshchynsky, V., Introduction to Low Pressure Gas Dynamic Spray, Wiley-Vch, Weinheim, 2008.Google Scholar
[4]Hastings, D. and Garrett, H., Spacecraft-Environment Interactions, Cambridge University Press, Cambridge, 1996.Google Scholar
[5]Metzger, P. and Immer, C., Jet-induced cratering of a granular surface with application to lunar spaceports, J. Aerosp. Eng., 22 (2009), 24.CrossRefGoogle Scholar
[6]Bird, G., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, New York, 1994.CrossRefGoogle Scholar
[7]Vincenti, W. and Kruger, C., Introduction to Physical Gas Dynamics, Krieger Publishing, Malabar, Florida, 1986.Google Scholar
[8]Karniadakis, G., Beskok, A. and Aluru, N., Microflows and Nanoflows: Fundamentals and Simulation, Springer, USA, 2005.Google Scholar
[9]Naumann, K., The freezing of flow deflection in Prandtl-Meyer expansion to vacuum, RGD15 International Symposium on Rarefied Gas Dynamics, Grado, Italy, 2 (1988), pp. 524–533.Google Scholar
[10]Noller, H., Approximate calculation of expansion of gas from nozzles into high vacuum, J. Vac. Sci. Tech. A, 3 (1966), 202.Google Scholar
[11]Kogan, M., Rarefied Gas Dynamics, Plenum Press, New York, 1969.CrossRefGoogle Scholar
[12]Narasimha, R., Orifice flow of high Knudsen Number, J. Fluid. Mech., 10 (1961), 371.CrossRefGoogle Scholar
[13]Narasimha, R., Collisionless expansion of gases into vacuum, J. Fluid Mech., 12 (1962), 294.Google Scholar
[14]Woronowicz, M., Proceedings of the 6th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Colorado Springs, CO, 20–23, 1994.Google Scholar
[15]Cai, C., Theoretical and Numerical Studies of Plume Flows in Vacuum Chambers, VDM Publishing, Saarbrcken, Germany, 2011; also Ph.D. Dissertation, Dept. of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 2005.Google Scholar
[16]Cai, C. and Boyd, I., Theoreticaland numerical study of several free molecular flow problems, J. Spacecr. Rockets, 44 (2007), 619. DOI: 10.2514/1.25893.CrossRefGoogle Scholar
[17]Cai, C. and Boyd, I., Collisionless gas flow expanding into vacuum, J. Spacecr. Rockets, 44 (2007), 1326. DOI: 10.2514/1.32173.Google Scholar
[18]Khasawneh, K., Liu, H. and Cai, C., Highly rarefied two-dimensional jet impingement on a flat plate, Phys. Fluids, 22 (2010), 1. doi:10.1063/1.3490409.Google Scholar
[19]Cai, C. and Wang, L., Numerical validations for a set of complete gaskinetic rocket plume solutions, J. Spacecr. Rockets, 41 (2012), 59. DOI:10.2514/1.A32046.Google Scholar
[20]Simons, G., Effects of nozzle boundary layers on rocket exhaust plumes, AIAA J., 10 (1972), 1534.Google Scholar
[21]Cai, C. and Huang, X., Rarefied circular jet impingement flows, AIAA J., 50 (2012), 2908. DOI: 10.2514/1.J051785.CrossRefGoogle Scholar
[22]Gombosi, G., Gaskinetic Theory, Cambridge University Press, New York, 1994.Google Scholar
[23]Chen, X., The impact force acting on a flat plate exposed normally to a rarefied plasma plume issuing from an annular or circular nozzle, J. Phys. D Appl. Phys., 43 (2010), 315205.Google Scholar
[24]Land, N. and Clark, L., Experimental investigation of jet impingement on surfaces of fine particles in a vacuum environment, NASA-TN-D-2633, 1965.Google Scholar
[25]Liu, H., Cai, C. and Zou, C., An object-oriented implementation of the DSMC method, Comput. Fluids, 57 (2012), 65. DOI: 10.1016/j.compfluid.2011.12.007.Google Scholar