Abstract Melting heat in mixed convective magnetohydrodynamic flow of viscous material bounded by a stretchable plate is examined. Thermal expression consists of Joule heating and heat generation. Here (γAl2O3 − H2O and γAl2O3 − C2H6O2) nanofluids are analyzed. Boundary layer flows is determined for both Prandtl number and effective Prandtl number. Melting heat is accounted. Second law of thermodynamics is utilized to determine entropy generation. Entropy generation is minimized and discussed graphically through different parameters. Furthermore the drag forces and heat transfer rates have been examined through tabulated values.

中文翻译：

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具有熔化传热和焦耳加热的有效普朗特数的熵优化耗散流

摘要 研究了以可拉伸板为边界的粘性材料的混合对流磁流体动力流动中的熔化热。热表达式包括焦耳加热和发热。这里分析了 (γAl2O3 - H2O 和 γAl2O3 - C2H6O2) 纳米流体。边界层流由 Prandtl 数和有效 Prandtl 数确定。计入熔化热。利用热力学第二定律来确定熵的产生。熵生成被最小化，并通过不同的参数以图形方式讨论。此外，拖曳力和传热率已通过表格值进行了检查。