Geodesic
Non-parallel plane Rayleigh Benard convection in cylindrical geometry
Applicationes Mathematicae, Tome 23 (1996) no. 1, pp. 25-36.

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This paper considers the effect of a perturbed wall in regard to the classical Benard convection problem in which the lower rigid surface is of the form $z=ε^2 g(s)$, s=ε r, in axisymmetric cylindrical polar coordinates (r,ϕ,z). The boundary conditions at s=0 for the linear amplitude equation are found and it is shown that these conditions are different from those which apply to the nonlinear problem investigated by Brown and Stewartson [1], representing the distribution of convection cells near the center.
DOI : 10.4064/am-23-1-25-36
Keywords: inner solution, perturbed wall

A. Golbabai 1

1 
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A. Golbabai. Non-parallel plane Rayleigh Benard convection in cylindrical geometry. Applicationes Mathematicae, Tome 23 (1996) no. 1, pp. 25-36. doi : 10.4064/am-23-1-25-36. http://geodesic.mathdoc.fr/articles/10.4064/am-23-1-25-36/

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