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Onset of Rayleigh-Bénard convection in gases - classical and extended thermodynamics

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This paper deals with the determination of the critical parameters that induce instability in the Rayleigh-Bénard arrangement, viz. a gas confined between two rigid plates and heated from below. In order to compute the critical values of the parameters, classical thermodynamics with the Navier-Stokes and Fourier constitutive relations and extended thermodynamics with thirteen moments are used. Linear stability analysis is performed. The results of both theories are illustrated and compared.

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Correspondence to E. Barbera.

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Received: 26 August 2003, Accepted: 1 September 2003, Published online: 5 December 2003

Communicated by I. Müller

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Barbera, E. Onset of Rayleigh-Bénard convection in gases - classical and extended thermodynamics. Continuum Mech. Thermodyn. 16, 337–346 (2004). https://doi.org/10.1007/s00161-003-0155-z

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  • Extended thermodynamics
  • Bénard convection
  • thermal instability