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首页> 外文期刊>Applied Mathematical Modelling >Analytical and ChPDM analysis of MHD mixed convection over a vertical flat plate embedded in a porous medium filled with water at 4 °C
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Analytical and ChPDM analysis of MHD mixed convection over a vertical flat plate embedded in a porous medium filled with water at 4 °C

机译：垂直平板中MHD混合对流的分析和ChPDM分析，该平板嵌入4°C充满水的多孔介质中

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摘要

In this research, two-dimensional mixed convection boundary-layer flow over a vertical flat plate embedded in a porous medium saturated with a water at 4 °C (maximum density) and an applied magnetic field are investigated theoretically and numerically using the new Chebyshev pseudospectral differentiation matrix (ChPDM) approach introducing by Aly et al. [39]. Both cases of the assisting and opposing flows are considered. Multiple similar ity solutions are obtained under the power law variable wall temperature (VWT), or vari able heat flux (VHF), or variable heat transfer coefficient (VHTC). The boundary-layer equations, which are partial differential equations are reduced, via the similarity transfor mations, to a pair of coupled of nonlinear ordinary differential equations. The resulting problem, which depends on two parameters, namely m, VWT (or VHF, or VHTC) parameter and ξ, the magnetohydrodynamic (MHD) mixed convection parameter, is analyzed analyt ically. Comparing with the other researcher's results, it is found, under VWT condition, that the problem has multiple similarity solutions for - 1/4＜ m ＜ 0 and ξ＞ 0 (assisting flows). Solutions for ξ, ＞ 1 (free convection), ξ= 0 (forced convection) and -1 ＜ ξ ＜ 0 (opposing flows) are also deduced. ChPDM approach is applied to validate and evidence the current analytical analysis.
机译：在这项研究中，使用新的Chebyshev伪谱在理论和数值上研究了垂直平板上的二维混合对流边界层流，该垂直平板埋在4°C的水饱和的多孔介质中（最大密度）并施加磁场。 Aly等人介绍的分化矩阵（ChPDM）方法。 [39]。考虑了辅助流动和反向流动的两种情况。在幂定律下，可以使用可变壁温（VWT），可变热通量（VHF）或可变传热系数（VHTC）来获得多个相似性解。边界层方程，是偏微分方程，通过相似变换被简化为一对非线性常微分方程。分析得出的问题取决于两个参数，即m，VWT（或VHF或VHTC）参数和ξ（磁流体动力学（MHD）混合对流参数）ξ。与其他研究者的结果相比，发现在VWT条件下，该问题具有-1/4 ＜m ＜0和ξ＞ 0（辅助流）的多个相似解。还推导了ξ，＞ 1（自由对流），ξ= 0（强制对流）和-1 ＜ξ＜0（对流）的解。 ChPDM方法用于验证和证明当前的分析结果。

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  • 来源
    《Applied Mathematical Modelling》 |2011年第10期|p.5182-5197|共16页
  • 作者

    M. Guedda; Emad H. Aly; A. Ouahsine;

  • 作者单位

    LAMFA CNRS UMR 6140, Universite de Picardie Jules Verne, Faculte de Mathematiques et d'Informatique, 33, rue Saint-Leu 80039, Amiens, France;

    Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11757, Cairo, Egypt;

    Laboratoire Roberval-LHN, Universite de Technologie de Compiegne, BP 20529, 60205 Compiegne, France;

  • 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

    boundary-layer; porous medium; maximum density; mhd mixed convection; multiple solutions; chpdm;

    机译：边界层;多孔介质最大密度混合对流多种解决方案;chpdm;

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