Open AccessNON-PARALLEL PLANE RAYLEIGH BENARD CONVECTION IN CYLINDRICAL GEOMETRY
Author(s) -
A. Golbabai
Publication year - 1992
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.23.1992.4540
Subject(s) - rotational symmetry , convection , rayleigh–bénard convection , mathematics , geometry , plane (geometry) , polar coordinate system , nonlinear system , boundary (topology) , symmetry (geometry) , mathematical analysis , classical mechanics , physics , mechanics , rayleigh number , natural convection , quantum mechanics
This paper considers the effect of a perturbed wall in regard to the classical Benard convection problem in which the lower rigid sur face is of the form $z =\varepsilon^2 g (s)$, in axisymmetric cylindrical polar coordinates, $(r,\phi, z)$. The boundary conditions at $s =0$ for the linear amplitude equation is found and it is shown that these conditions are different from those which apply to the nonlinear problem investigated by Stewartson (1978) [2], representing a distribution of convection cells near the centre.