The analogy between a problem of magnetohydrodynamics and the Benard problem in the Boussinesq approximation

被引：2

作者：

Volkov, NB ^{[1
]}

Zubarev, NM ^{[1
]}

Zubareva, OV ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Electrophys, Ekaterinburg, Russia

来源：

TECHNICAL PHYSICS LETTERS | 1999年 / 25卷 / 05期

关键词：

D O I：

10.1134/1.1262489

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

It is shown that the equations of motion written in a longitudinal plane of symmetry of a liquid-metal current-carrying conductor of rectangular cross section are identical with the equations that describe heat conduction in a flat layer of liquid heated from below in the Boussinesq approximation. The main parameters that determine the threshold of the convective instability that develops under the action of Lorentz forces in a current-carrying liquid metal are found. (C) 1999 American Institute of Physics. [S1063-7850(99)01705-X].

引用

页码：380 / 381

页数：2

共 50 条

[1] The analogy between a problem of magnetohydrodynamics and the Benard problem in the Boussinesq approximation
N. B. Volkov
N. M. Zubarev
O. V. Zubareva
Technical Physics Letters, 1999, 25
[2] Boussinesq Approximation in the Rayleigh-Benard Problem
Nadolin, K. A.
Fluid Dynamics, 30 (05):
[3] BENARD PROBLEM FOR GENERAL FLUID DYNAMICAL EQUATIONS AND REMARKS ON BOUSSINESQ APPROXIMATION
FIFE, PC
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1970, 20 (04) : 303 - &
[4] LARGE DEPARTURES FROM BOUSSINESQ APPROXIMATION IN THE RAYLEIGH-BENARD PROBLEM
FROHLICH, J
LAURE, P
PEYRET, R
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (07): : 1355 - 1372
[5] On the nonlinear stability of Marangoni-Benard problem with free surface in the boussinesq approximation
Guidoboni, C
Jin, BJ
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 15 (01): : 1 - 22
[6] Weakly nonlinear analysis of Rayleigh-Benard convection problem in extended Boussinesq approximation
Dostalik, Mark
Matyska, Ctirad
Prusa, Vit
APPLIED MATHEMATICS AND COMPUTATION, 2021, 408
[7] ANALOGY BETWEEN THE RAYLEIGH PROBLEM AND FLOW BEHIND THE SHOCK WAVE IN MAGNETOHYDRODYNAMICS
ROSCISZEWSKI, J
PHYSICS OF FLUIDS, 1962, 5 (09) : 1044 - 1047
[8] On the Validity of the Boussinesq Approximation for the Elder Problem
K. Johannsen
Computational Geosciences, 2003, 7 : 169 - 182
[9] On the validity of the Boussinesq approximation for the Elder problem
Johannsen, K
COMPUTATIONAL GEOSCIENCES, 2003, 7 (03) : 169 - 182
[10] The Perturbed Problem on the Boussinesq System of Rayleigh-Benard Convection
Shi, Jian-guo
Wang, Shu
Wang, Ke
He, Feng-ying
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (01): : 75 - 88

← 1 2 3 4 5 →