THE EFFECT OF RADIAL TEMPERATURE-GRADIENT AND AXIAL MAGNETIC-FIELD ON THE STABILITY OF COUETTE-FLOW - THE NARROW GAP PROBLEM

被引：4

作者：

TAKHAR, HS

ALI, MA

SOUNDALGEKAR, VM

机构：

[1] Department of Engineering, University of Manchester, Manchester, M13 9PL, Oxford Rd

[2] Department of Mathematics, Gulf Polytechnic, Bahrain University

[3] Thane, 400 601

来源：

INTERNATIONAL JOURNAL OF ENERGY RESEARCH | 1992年 / 16卷 / 07期

关键词：

MHD; MAGNETOHYDRODYNAMICS; COUETTE FLOW;

D O I：

10.1002/er.4440160704

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

A numerical solution to the MHD stability problem for dissipative Couette flow in a narrow gap is presented under the following conditions: (i) the inner cylinder rotating with the outer cylinder stationary, (ii) corotating cylinders, (iii) counter-rotating cylinders, (iv) an axially applied magnetic field, (v) conducting and nonconducting walls, and (vi) the presence of a radial temperature gradient. Results for the critical wave number a(c) and the critical Taylor number T(c) are presented. The variation of T(c) is shown on graphs for both the conducting and nonconducting walls and for different values of +/- mu (= OMEGA-2/OMEGA-1, where OMEGA-2 is the angular velocity of the outer cylinder, and OMEGA-1 is the angular velocity of the inner cylinder), the magnetic field parameter Q, which is the square of the Hartmann number and +/- N(= Ra/Ta, where Ra is the Rayleigh number). The effects of +/- mu, N and Q on the stability of flow are discussed. It is seen that the effect of the magnetic field is to inhibit the onset of instability, this being more so in the presence of conducting walls and a negative temperature gradient.

引用

页码：597 / 621

页数：25

共 17 条

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