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The role of magnetic Reynolds number in MHD forced convection heat transfer

机译：雷诺数在MHD强迫对流换热中的作用

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摘要

Higher Order Compact (HOC) Scheme combined with multigrid method is developed to investigate the role of magnetic Reynolds number in MHD heat transfer from a circular cylinder which is under the influence of an external magnetic field. The governing equations are coupled nonlinear Navier-Stokes and nonlinear Maxwell's equations which are expressed in stream function, vorticity and magnetic stream function (ψ-ω-A) formulation and decoupled energy equation. Apart from the usual kinetic Reynolds number Re, the parameters that governs the flow are magnetic Reynolds number R_m, Alfven number β and Prandtl number Pr. The velocities of the flow are calculated with second order accurate based finite difference scheme and heat transfer equation is solved with fourth order accurate HOC scheme. The influence of the magnetic field and magnetic Reynolds number on velocity gradients is presented. It is found that the mean Nusselt number decreases until N ≤ 1 and then increases with further increase in the interaction parameter. It is also found that fluids having higher electrical conductivity can be effectively controlled with relatively low magnetic fields. The decrease in mean Nusselt number with β and R_m is in agreement with experimental findings.
机译：开发了结合多网格方法的高阶紧凑（HOC）方案，以研究雷诺数在外磁场影响下从圆柱体传递MHD传热中的作用。控制方程是耦合的非线性Navier-Stokes方程和非线性的Maxwell方程，分别用流函数，涡度和磁流函数（ψ-ω-A）公式和解耦的能量方程表示。除了通常的动力学雷诺数Re，控制流量的参数还有磁雷诺数R_m，阿尔夫文数β和普朗特数Pr。使用基于二阶精确度的有限差分方案计算流的速度，并使用四阶精确HOC方案求解传热方程。给出了磁场和雷诺数对速度梯度的影响。发现，当相互作用参数进一步增加时，平均Nusselt数减小直到N≤1，然后增加。还发现具有较高电导率的流体可以在相对较低的磁场下得到有效控制。 β和R_m的平均Nusselt数减少与实验结果一致。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第14期|6737-6753|共17页
  • 作者

    S. Vimala; S. Damodaran; R. Sivakumar; T.V.S. Sekhar;

  • 作者单位

    Deportment of Mathematics, Pondicherry Engineering College, Puducherry 605014, India;

    Department of Mathematics, Bharathidasan Government College for Women, Puducherry 605003, India;

    Department of Physics, Pondicherry University, Puducherry 605014, India;

    School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Bhubaneswar 751007, India;

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

    Magnetic Reynolds number; Forced convection; MHD flow;

    机译：磁雷诺数;强制对流;MHD流量;

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