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首页> 外文期刊>Numerical Heat Transfer, Part A. Application: An International Journal of Computation and Methodology >BEM SOLUTION TO TRANSIENT FREE CONVECTIVE HEAT TRANSFER IN A VISCOUS, ELECTRICALLY CONDUCTING, AND HEAT GENERATING FLUID
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BEM SOLUTION TO TRANSIENT FREE CONVECTIVE HEAT TRANSFER IN A VISCOUS, ELECTRICALLY CONDUCTING, AND HEAT GENERATING FLUID

机译：粘性，导电和生热流体中瞬态自由对流传热的BEM解决方案

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摘要

The nonlinear partial differential equations for the transient free convective heat transfer in a viscous, electrically conducting, and heat-generating fluid past a vertical porous plate in the presence of free stream oscillations are solved by the boundary element method (BEM). Time-dependent fundamental solutions are employed in a time marching scheme to resolve the field variables. Numerical results are compared with previously reported analytical solutions in order to validate the developed BEM algorithm. These previous studies reported results for simpler versions of our problem, in which the convective effects in the momentum and energy equations were neglected in order to obtain analytical numerical solutions. Our BEM results ore shown to be in close agreement with the reported data. The effects of convection currents, the temperatue-dependent heat sources (or sinks), the magnetic currents, and the viscous dissipation on the flow and heat transfer characteristics are assessed in a parametric study, which considers a variety of the dimensionless parameters Gr, Ec, Pr, M, and gamma. It is observed that gamma plays an important role in delaying the fluid flow reversal, present in the case of air, and acts to enhance the effect of Gr in augmenting the rate of heat transfer at the wad. The shin friction is observed to be an increasing function of Gr, Ec, and gamma and a decreasing function of M and Pr. However, the rate of heat transfer (in an absolute sense) is an increasing function of M, gamma, Gr and Ec and a decreasing function of Pr. Of all the parameters, the Prandtl number has the strongest effect on the flow and heat transfer characteristics. [References: 21]
机译：通过边界元方法（BEM）求解了在存在自由流振荡的情况下，通过垂直多孔板的粘性，导电和生热流体中的瞬态自由对流换热的非线性偏微分方程。时间行进方案中采用了与时间有关的基本解决方案来解决字段变量。将数值结果与以前报告的分析解决方案进行比较，以验证开发的BEM算法。这些先前的研究报道了我们问题的简单形式的结果，其中忽略了动量和能量方程中的对流效应，以获得解析数值解。我们的BEM结果矿石显示与报告的数据非常一致。在参数研究中评估了对流，取决于温度的热源（或吸收器），磁流以及粘性耗散对流动和传热特性的影响，该研究考虑了各种无量纲参数Gr，Ec ，Pr，M和γ。可以观察到，在空气中，伽马​​在延缓流体逆转方面起着重要作用，并起到增强Gr的作用，以提高填缝处的传热速率。观察到胫骨摩擦是Gr，Ec和γ的增加函数，而M和Pr的减少函数。但是，传热速率（绝对意义上）是M，γ，Gr和Ec的增加函数，而Pr的减少函数。在所有参数中，普朗特数对流动和传热特性的影响最大。 [参考：21]

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