Geodesic
Rayleigh-Bénard convection with magnetic field
Theoretical and applied mechanics, Tome 30 (2003) no. 1.

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We discuss the solution of the small perturbation equations for a horizontal fluid layer heated from below with an applied magnetic field either in vertical or in horizontal direction. The magnetic field stabilizes, due to the Lorentz force, more or less Rayleigh-Bénard convective cellular motion. The solution of the eigenvalue problem shows that the critical Rayleigh number increases with increasing Hartmann number while the corresponding wave length decreases. Interesting analogies to solar granulation and black spots phenomena are obvious. The influence of a horizontal field is stronger than that of a vertical field. It is easy to understand this by discussing the influence of the Lorentz force on the Rayleigh-Bénard convection. This result corrects earlier calculations in the literature.
Keywords: Rayleigh-Benard convection, Lorentz force, solar granulation, black spots 
@article{TAM_2003_30_1_a2,
     author = {J\"urgen Zierep},
     title = {Rayleigh-B\'enard convection with magnetic field},
     journal = {Theoretical and applied mechanics},
     pages = {29 - 40},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {2003},
     url = {http://geodesic.mathdoc.fr/item/TAM_2003_30_1_a2/}
}
TY  - JOUR
AU  - Jürgen Zierep
TI  - Rayleigh-Bénard convection with magnetic field
JO  - Theoretical and applied mechanics
PY  - 2003
SP  - 29 
EP  -  40
VL  - 30
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_2003_30_1_a2/
ID  - TAM_2003_30_1_a2
ER  - 
%0 Journal Article
%A Jürgen Zierep
%T Rayleigh-Bénard convection with magnetic field
%J Theoretical and applied mechanics
%D 2003
%P 29 - 40
%V 30
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_2003_30_1_a2/
%F TAM_2003_30_1_a2
Jürgen Zierep. Rayleigh-Bénard convection with magnetic field. Theoretical and applied mechanics, Tome 30 (2003) no. 1. http://geodesic.mathdoc.fr/item/TAM_2003_30_1_a2/