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The Rayleigh-Benard Convection in Rarefied Gases

  • In the present paper we investigate the Rayleigh-Benard convection in rarefied gases and demonstrate by numerical experiments the transition from purely thermal conduction to a natural convective flow for a large range of Knudsen numbers from 0.02 downto 0.001. We address to the problem how the critical value for the Rayleigh number defined for incompressible vsicous flows may be translated to rarefied gas flows. Moreover, the simulations obtained for a Knudsen number Kn=0.001 and Froude number Fr=1 show a further transition from regular Rayleigh-Benard cells to a pure unsteady behavious with moving vortices.

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Author:Carlo Cercignani, Maria Cristina Giurin, Jens Struckmeier
URN (permanent link):urn:nbn:de:hbz:386-kluedo-5987
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (192)
Document Type:Preprint
Language of publication:English
Year of Completion:1998
Year of Publication:1998
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Boltzmann Equation; Numerical Simulation; Rarefied Gas Flows; Rayleigh Number
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011