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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 47, 2005 - Issue 8
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Original Articles

DIRECT-SIMULATION MONTE CARLO MODELING ON TWO-DIMENSIONAL RAYLEIGH-BÉNARD INSTABILITIES OF RAREFIED GAS

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Pages 805-823 | Received 25 May 2004, Accepted 18 Oct 2004, Published online: 24 Feb 2007
 

ABSTRACT

This study investigates numerically the convective instabilities of rarefied gas in two-dimensional enclosures by the direct-simulation Monte Carlo (DSMC) method. A simulation using an enclosure with length-to-height aspect ratio AS = 2.016 is conducted to validate the value of the critical Rayleigh number on the onset of convection. Enclosures of AS = 2 and 4 are chosen to explore the influences of the Knudsen number Kn and initial wall temperatures on the flow. The results indicate that the different initial conditions may cause multiple solutions for the convection rolls and the Boussinesq approximation is no longer valid for rarefied gases of high Kn.

Acknowledgments

The study was partially supported by the National Science Council of the Republic of China through Grant NSC-91-2212-E-014-008.

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