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首页> 外文期刊>Journal of enhanced heat transfer >UNSTEADY MAGNETOHYDRODYNAMIC CHANNEL FLOW WITH HALL AND ION-SLIP EFFECTS: THE INTEGRAL TRANSFORM SOLUTION PROCEDURE
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UNSTEADY MAGNETOHYDRODYNAMIC CHANNEL FLOW WITH HALL AND ION-SLIP EFFECTS: THE INTEGRAL TRANSFORM SOLUTION PROCEDURE

机译：具有霍尔效应和离子滑移效应的非稳态磁氢动力流：积分变换解决方案

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摘要

This paper deals with the generalized integral transform solution procedure to the unsteady magneto-convection problem of an electrically conducting Newtonian fluid within a parallel-plate channel, in which Hall and ion-slip effects are taken into account. It is considered that the magnetic Reynolds number is small, i.e., the flow-induced magnetic fields are not strong enough to modify the applied transversal magnetic field. To cover a broader range of problems, temperature-dependent transport properties, time-dependent pressure gradient, inflow perpendicular to the plates (porous plates), and Couette flow are also considered in the mathematical formulation. Results are illustrated and compared to the main numerical results from the literature for the related velocity and temperature potentials as function of the main governing parameters, namely, Hartmann, suction/injection, transport properties, and electron and ion-slip parameters. In order to illustrate the consistency of the Generalized Integral Transform Technique (GITT) and its use for benchmarking purposes in the magneto fluid dynamics area, convergence analyses are carried out for the main potentials.
机译：本文针对平行板通道内导电牛顿流体的非定常磁对流问题，考虑了霍尔效应和离子滑移效应，讨论了广义积分变换求解程序。认为雷诺数小，即流动感应磁场强度不足以改变所施加的横向磁场。为了涵盖更广泛的问题，在数学公式中还考虑了与温度有关的传输特性，与时间有关的压力梯度，垂直于板（多孔板）的流入和库埃特流量。结果被说明并与文献中的主要速度数值结果进行了比较，相关的速度和温度势是主要控制参数的函数，即哈特曼，吸力/注入量，传输性质以及电子和离子滑移参数。为了说明广义积分变换技术（GITT）的一致性及其在磁流体动力学领域中用于基准测试的目的，对主要潜力进行了收敛分析。

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