Asymptotic solution of natural convection problem in a square cavity heated from below

Miloslav Grundmann (1) , Abdelkader Mojtabi (1) , B. van 'T Hof (2)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 University of Groningen - Department of Mathematics

Studies a two-dimensional natural convection in a porous, square cavity using a regular asymptotic development in powers of the Rayleigh number. Carries the approximation through to the 34th order. Analyses convergence of the resulting series for the Nusselt number in both monocellular and multicellular cases, providing insight in the validity regions of the power series.

Mots clés: Natural convection; Porous medium; Square cavity; Asymptotic solution; Algebra code

Domaines: Mécanique des fluides [physics.class-ph]

Miloslav Grundmann, Abdelkader Mojtabi, B. van 'T Hof. Asymptotic solution of natural convection problem in a square cavity heated from below. International Journal of Numerical Methods for Heat and Fluid Flow, 1996, 6 (5), pp.29-36. ⟨10.1108/09615539610125944⟩. ⟨hal-01901123⟩