Computational Analysis of the Dissipative Casson Fluid Flow Originating from a Slippery Sheet in Porous Media

IF 1.4 4区 物理与天体物理 Q2 MATHEMATICS, APPLIED Journal of Nonlinear Mathematical Physics Pub Date : 2024-04-02 DOI:10.1007/s44198-024-00183-3
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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.

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多孔介质中源自滑动片的耗散卡松流体流动的计算分析
摘要 本研究论文探讨了不可压缩粘性卡松流体流过既可渗透又可对流加热的弹性表面的二维稳定流的特性,并增加了滑移速度的特征。与达西定律不同的是,目前的模型采用了福希海默定律,该定律考虑了在流速较高时变得十分重要的非线性阻力。这项研究的成果在工程系统中卡逊流体流动与热质传递数学建模的理论研究以及实际工程冷却应用方面都具有重要意义。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共同影响。研究考虑了随温度或浓度变化的流体特性,并采用相似变换和射流法求解了控制方程。热量的产生和粘性耗散对传热过程有很大影响。此外,研究还说明并介绍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,研究还以图形和表格的形式描述并提供了局部努塞尔特数、表皮摩擦力和局部舍伍德数。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量传输的理解具有实际意义。最后,全面的对比分析表明,这些结果与之前的研究结果在很大程度上是一致的,从而验证了我们所获得结果的可靠性和有效性。
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来源期刊
Journal of Nonlinear Mathematical Physics
Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL
CiteScore
1.60
自引率
0.00%
发文量
67
审稿时长
3 months
期刊介绍: Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics
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