NON-PARALLEL PLANE RAYLEIGH BENARD CONVECTION IN CYLINDRICAL GEOMETRY

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Published: Sep 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4540
Keywords:
perturbed wall linear amplitude equation nonlinear problem convection cells

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A. GOLBABAI (SHAYGAN)
Mathematics Department, Iowa State University of Science and Technology, Ames, Iowa 50011 U.S.A.

Abstract




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.




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How to Cite
GOLBABAI (SHAYGAN), A. . (1992). NON-PARALLEL PLANE RAYLEIGH BENARD CONVECTION IN CYLINDRICAL GEOMETRY. Tamkang Journal of Mathematics, 23(3), 171–185. https://doi.org/10.5556/j.tkjm.23.1992.4540
Issue
Vol. 23 No. 3 (1992)
Section
Papers
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References

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