Non-parallel plane Rayleigh Benard convection in cylindrical geometry
Applicationes Mathematicae (1995)
- Volume: 23, Issue: 1, page 25-36
- ISSN: 1233-7234
Access Full Article
top
Abstract
topHow to cite
topGolbabai, A.. "Non-parallel plane Rayleigh Benard convection in cylindrical geometry." Applicationes Mathematicae 23.1 (1995): 25-36. <http://eudml.org/doc/219114>.
@article{Golbabai1995,
abstract = {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.},
author = {Golbabai, A.},
journal = {Applicationes Mathematicae},
keywords = {inner solution; perturbed wall; boundary conditions; linear amplitude equation},
language = {eng},
number = {1},
pages = {25-36},
title = {Non-parallel plane Rayleigh Benard convection in cylindrical geometry},
url = {http://eudml.org/doc/219114},
volume = {23},
year = {1995},
}
TY - JOUR
AU - Golbabai, A.
TI - Non-parallel plane Rayleigh Benard convection in cylindrical geometry
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 1
SP - 25
EP - 36
AB - 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.
LA - eng
KW - inner solution; perturbed wall; boundary conditions; linear amplitude equation
UR - http://eudml.org/doc/219114
ER -
References
top- [1] S. N. Brown and K. Stewartson, On finite amplitude Benard convection in a cylindrical container, Proc. Roy. Soc. London Ser. A 360 (1978), 455-469. Zbl0395.76066
- [2] S. Chandrasekhar, Hydrodynamics and Hydromagnetic Stability Theory, Oxford University Press, London, 1961. Zbl0142.44103
- [3] P. G. Daniels, Finite amplitude two-dimensional convection in a finite rotating system, Proc. Roy. Soc. London Ser. A 363 (1978), 195-215. Zbl0393.76061
- [4] P. G. Daniels, The effect of centrifugal acceleration on axisymmetric convection in a shallow rotating cylinder or annulus, J. Fluid Mech. 99 (1980), 65-84. Zbl0464.76097
- [5] P. M. Eagles, A Benard convection problem with a perturbed lower wall, Proc. Roy. Soc. London Ser. A 371 (1980), 359-379. Zbl0466.76078
- [6] A. Golbabai, Finite amplitude axisymmetric convection between rigid rotating planes, J. Comput. Appl. Math. 16 (1986), 355-369. Zbl0609.76038
- [7] Lord Rayleigh, On convection currents in a horizontal layer of fluid when the higher temperature is on the under side, Phil. Mag. 32 (1916), 529-546. Zbl46.1249.04
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.