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

机译：具有行进磁场的圆柱中瑞利-贝纳德对流的线性不稳定性分析

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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.
机译：通过线性稳定性分析研究了垂直圆柱体在低频传播磁场（TMF）下的瑞利-贝纳德对流。具有绝热垂直壁的圆柱体从下方被加热并且从上方被冷却。对于四个纵横比（高度/半径）A = 1、2、3、4和三个普朗特数Pr = 0.001、0.02、0.1，研究了行进磁场对流动不稳定性的影响。评估临界瑞利数和相应的临界频率是TMF力Ft的函数，并在不同的控制参数下获得稳定性曲线的多样性。此外，以固定的纵横比比较了不同普朗特数的稳定性。获得的结果表明，磁力能够使流量稳定或不稳定，这取决于力的强度，纵横比和普朗特数的组合。

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  • 来源
    《Journal of Crystal Growth》 |2014年第15期|49-53|共5页
  • 作者

    Bo-Fu Wang; Dong-Jun Ma; Zhi-Wei Guo; De-Jun Sun;

  • 作者单位

    School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, Hubei, China;

    National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China;

    School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, Hubei, China;

    Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    A1. Numerical simulation; A1. Fluid flows; A1. Convection;

    机译：A1。数值模拟A1。流体流动;A1。对流;

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