Linear instability analysis of Rayleigh-Benard convection in a cylinder with traveling magnetic field

被引：6

作者：

Wang, Bo-Fu ^{[1
]}

Ma, Dong-Jun ^{[2
]}

Guo, Zhi-Wei ^{[3
]}

Sun, De-Jun ^{[4
]}

机构：

[1] Wuhan Univ, Sch Power & Mech Engn, Wuhan 430072, Hubei, Peoples R China

[2] Chinese Acad Sci, Natl Space Sci Ctr, Beijing 100190, Peoples R China

[3] Wuhan Univ, Sch Water Resources & Hydropower Engn, Wuhan 430072, Hubei, Peoples R China

[4] Univ Sci & Technol China, Dept Modern Mech, Hefei 230027, Peoples R China

来源：

JOURNAL OF CRYSTAL GROWTH | 2014年 / 400卷

基金：

中国国家自然科学基金;

关键词：

Numerical simulation; Fluid flows; Convection; 3-DIMENSIONAL INSTABILITY; MELT FLOW; DRIVEN; STABILITY; FLUID; GROWTH;

D O I：

10.1016/j.jcrysgro.2014.04.022

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

Rayleigh-Benard convection under a low frequency traveling magnetic field (TMF) in a vertical cylinder is investigated by linear stability analysis. The cylinder with a adiabatic vertical wall is heated from below and cooled from above. The effects of traveling magnetic field on flow instability are studied for four aspect ratios (height/radius) A= 1, 2, 3, 4 and three Prandtl numbers Pr=0.001, 0.02, 0.1. The critical Rayleigh number and corresponding critical frequency are evaluated as a function of TMF force Ft, and diversity profiles of stability curves are obtained under different control parameters. Moreover, stability properties for different Prandtl numbers are compared at fixed aspect ratios. The results obtained show that the magnetic force is able to either stabilize or destabilize the flow, which is determined by the effects of combination of the strength of the force, the aspect ratio and the Prandtl number. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：49 / 53

页数：5

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