Abstract

This research paper examines the characteristics of a two-dimensional steady flow involving an incompressible viscous Casson fluid past an elastic surface that is both permeable and convectively heated, with the added feature of slip velocity. In contrast to Darcy’s Law, the current model incorporates the use of Forchheimer’s Law, which accounts for the non-linear resistance that becomes significant at higher flow velocities. The accomplishments of this study hold significant relevance, both in terms of theoretical advancements in mathematical modeling of Casson fluid flow with heat mass transfer in engineering systems, as well as in the context of practical engineering cooling applications. The study takes into account the collective influences of magnetic field, suction mechanism, convective heating, heat generation, viscous dissipation, and chemical reactions. The research incorporates the consideration of fluid properties that vary with respect to temperature or concentration, and solves the governing equations by employing similarity transformations and the shooting approach. The heat transfer process is significantly affected by the presence of heat generation and viscous dissipation. Furthermore, the study illustrates and presents the impact of various physical factors on the dimensionless temperature, velocity, and concentration. From an engineering perspective, the local Nusselt number, the skin friction, and local Sherwood number are also depicted and provided in graphical and tabular formats. In the domains of energy engineering and thermal management in particular, these results have practical relevance in improving our understanding of heat transmission in similar settings. Finally, the thorough comparison analysis reveals a significant level of alignment with the outcomes of the earlier investigations, thus validating the reliability and effectiveness of our obtained results.

中文翻译：

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多孔介质中滑片引起的耗散卡森流体流动的计算分析

摘要

本研究论文研究了二维稳定流的特性，该流涉及不可压缩的粘性卡森流体流过可渗透且对流加热的弹性表面，并附加了滑移速度的特征。与达西定律相反，当前模型结合了福希海默定律的使用，该定律解释了在较高流速下变得显着的非线性阻力。这项研究的成果无论是在工程系统中热质传递卡森流体数学建模的理论进展方面，还是在实际工程冷却应用中，都具有重要意义。该研究考虑了磁场、吸力机制、对流加热、热量产生、粘性耗散和化学反应的集体影响。该研究考虑了随温度或浓度变化的流体特性，并通过采用相似变换和射击方法求解控制方程。传热过程受到热量产生和粘性耗散的显着影响。此外，该研究还说明并呈现了各种物理因素对无量纲温度、速度和浓度的影响。从工程角度来看，局部努塞尔数、表面摩擦力和局部舍伍德数也以图形和表格格式描述和提供。特别是在能源工程和热管理领域，这些结果对于提高我们对类似环境中热传递的理解具有实际意义。最后，彻底的比较分析揭示了与早期调查结果的显着一致性，从而验证了我们获得的结果的可靠性和有效性。