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Non-parallel plane Rayleigh Benard convection in cylindrical geometry

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Golbabai A.

Applicationes Mathematicae

1995-1996

tom 23

nr 1

25-36

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.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Golbabai A.

1 1995

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Non-parallel plane Rayleigh Benard convection in cylindrical geometry