Abstract The essential aim of this modeling is to scrutinize the irreversibility and heat transfer of hybrid nanomaterial within a permeable medium. The inner elliptic surface experiences the uniform flux and outer wall maintains cold temperature. To scrutinize the impact of porous region, difference between the temperature of fluid and solid matrix was involved and stream function formulation was applied to simplify the equations. Outputs were obtained by means of CVFEM and its accuracy was check by comparing with previous article. Greater values for Ψ can be obtained with rise of Ra while opposite tendency appears for Ha. When Nhs* = 1, Ha = 1, growth of Ra provides 3.86 times lower values of Nu. Nu declines about 70.1% with growth of Ha when Ra* = 5, Nhs* = 0.01. Unfavorable effect of MHD on Nu declines with augment of Nhs*. Nu reduces about 72.5% with augment of Nhs when Ra* = 5, Ha = 1.

中文翻译：

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椭圆形多孔外壳内混合纳米流体的对流 MHD 流动

摘要 这种建模的基本目的是检查混合纳米材料在可渗透介质中的不可逆性和热传递。内椭圆表面经历均匀通量，外壁保持低温。为了仔细研究多孔区域的影响，涉及流体和固体基质之间的温度差异，并应用流函数公式来简化方程。通过 CVFEM 获得输出，并通过与前一篇文章进行比较来检查其准确性。随着 Ra 的增加，可以获得更大的 Ψ 值，而 Ha 出现相反的趋势。当 Nhs* = 1，Ha = 1 时，Ra 的增长提供了低 3.86 倍的 Nu 值。当 Ra* = 5, Nhs* = 0.01 时，Nu 随 Ha 的增加而下降约 70.1%。MHD 对 Nu 的不利影响随着 Nhs* 的增加而下降。Nu 减少约 72。