A rarefied gas flow induced by a temperature field: Numerical analysis of the flow between two coaxial elliptic cylinders with different uniform temperatures

Computers and Mathematics with Applications

Volumn 35, Issue 1-2, 1998, Pages 15-28

  Aoki, K ^a   Sone, Y ^a   Waniguchi, Y ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Boltzmann equation; Direct simulation Monte Carlo method; Kinetic theory of gases; Rarefied gas flows; Thermal creep flow

Indexed keywords

COMPUTER SIMULATION; CREEP; FLOW PATTERNS; KINETIC THEORY OF GASES; STEADY FLOW; TEMPERATURE;

BOLTZMANN EQUATION; RAREFIED GAS; THERMAL CREEP FLOW;

MONTE CARLO METHODS;

EID: 0031633321     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(97)00255-1     Document Type: Article

References (21)

1. Y. Sone, Asymptotic theory of flow of rarefied gas over a smooth boundary I, In Rarefied Gas Dynamics, (Edited by L. Trilling and H.Y. Wachman), Vol. 1, pp. 243-253, Academic Press, New York (1969).
2. Y. Sone, Asymptotic theory of flow of rarefied gas over a smooth boundary II, In Rarefied Gas Dynamics, (Edited by D. Dini), Vol. 2, pp. 737-749, Editrice Tecnico Scientifica, Pisa (1971).
3. Y. Sone, Asymptotic theory of a steady flow of a rarefied gas past bodies for small Knudsen numbers, In Advances in Kinetic Theory and Continuum Mechanics, (Edited by R. Gatignol and Soubbaramayer), pp. 19-31, Springer-Verlag, Berlin (1991).
4. Y. Sone, K. Aoki, S. Takata, H. Sugimoto and A.V. Bobylev, Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation, Phys. Fluids 8 (2), 628-638 (1996).
5. Y. Sone and K. Aoki, Molecular Gas Dynamics, (in Japanese), Asakura, Tokyo, (1994).
6. E.H. Kennard, Kinetic Theory of Gases, McGraw-Hill, New York, (1938).
7. Y. Sone, Thermal creep in rarefied gas, J. Phys. Soc. Jpn. 21 (9), 1836-1837 (1966).
8. T. Ohwada, Y. Sone and K. Aoki, Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules, Phys. Fluids A 1 (9), 1588-1599 (1989).
9. Y. Sone, Flow induced by thermal stress in rarefied gas, Phys. Fluids 15 (8), 1418-1423 (1972).
10. T. Ohwada and Y. Sone, Analysis of thermal stress slip flow and negative thermophoresis using the Boltzmann equation for hard-sphere molecules, Eur. J. Mech., B/Fluids 11 (4), 389-414 (1992).
11. M.N. Kogan, V.S. Galkin and O.G. Fridlender, Stresses produced in gases by temperature and concentration inhomogeneities. New type of free convection, Sov. Phys. Usp. 19 (5), 420-438 (1976).
12. T. Ohwada, Y. Sone and K. Aoki, Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules, Phys. Fluids A 1 (12), 2042-2049 (1989); Erratum: Phys. Fluids A 2 (4), 639 (1990).
13. S. Takata and Y. Sone, Flow induced around a sphere with a nonuniform surface temperature in a rarefied gas, with application to the drag and thermal force problems of a spherical particle with an arbitrary thermal conductivity, Eur. J. Mech., B/Fluids 14 (4), 487-518 (1995).
14. G.A. Bird, Molecular Gas Dynamics, Oxford University Press, Oxford, (1976).
15. G.A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, Oxford, (1994).
16. K. Aoki, Y. Sone and T. Yano, Numerical analysis of a flow induced in a rarefied gas between noncoaxial circular cylinders with different temperatures for the entire range of the Knudsen number, Phys. Fluids A 1 (2), 409-419 (1989).
17. K. Aoki, Y. Sone and N. Masukawa, A rarefied gas flow induced by a temperature field, In Rarefied Gas Dynamics, (Edited by J. Harvey and G. Lord), Vol. 1, pp. 35-41, Oxford University Press, Oxford (1995).
18. C. Cercignani, The Boltzmann Equation and Its Applications, Springer-Verlag, Berlin, (1988).
19. W. Wagner, A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation, J. Stat. Phys. 66 (3/4), 1011-1044 (1992).
20. Y. Sone, Highly rarefied gas around a group of bodies with various temperature distributions. I. Small temperature variation, Journal de Mécanique Théorique et Appliquée 3 (2), 315-328 (1984).
21. Y. Sone, Highly rarefied gas around a group of bodies with various temperature distributions. II. Arbitrary temperature variation, Journal de Mécanique Théorique et Appliquée 4 (1), 1-14 (1985).