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 , 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.
@article{bwmeta1.element.bwnjournal-article-zmv23i1p25bwm, author = {A. Golbabai}, title = {Non-parallel plane Rayleigh Benard convection in cylindrical geometry}, journal = {Applicationes Mathematicae}, volume = {23}, year = {1995}, pages = {25-36}, zbl = {0827.76084}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i1p25bwm} }
Golbabai, A. Non-parallel plane Rayleigh Benard convection in cylindrical geometry. Applicationes Mathematicae, Tome 23 (1995) pp. 25-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i1p25bwm/
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