Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok, Thailand.
Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia.
PLoS One. 2022 Apr 1;17(4):e0265238. doi: 10.1371/journal.pone.0265238. eCollection 2022.
This research article presents the magnetohydrodynamic Casson fluid flow through an extending surface embedded in a porous medium. Furthermore, the Casson fluid flow is investigated under the effects of thermal radiation, Joule heating, viscous dissipation, and chemical reaction. The analytical solution of the modeled problem is utilized with the help of homotopy analysis method (HAM). The convergence region of the applied technique is portrayed graphically. The impacts of the embedded factors on the flow profiles are exhibited with the help of figures. Furthermore, numerical values of the surface drag force, heat, and mass transfer rates are highlighted via table. The results show that the augmented Darcy number, Casson and magnetic parameters have declined the velocity profile of the Casson fluid flow. Growth in Brownian motion augments the chaotic motion amongst the particles due to which the kinetic energy of the particles transforms to heat energy which consequently augmented the thermal profile, while reduced the concentration profile. The mass and energy profiles are positively effects with the increment of thermophoresis term. And the growing values of chemical reaction and Lewis number cause a reduction in the diffusivity of mass of fluid due to which less transfer of mass takes place that weakens the concentration layer thickness and declines the concentration profiles.
本文研究了磁渗流 Casson 流体在多孔介质中扩展表面的流动。此外,还研究了热辐射、焦耳加热、粘性耗散和化学反应对 Casson 流体流动的影响。利用同伦分析方法(HAM)对所建模型问题的解析解进行了求解。图形描绘了应用技术的收敛区域。借助图形展示了嵌入因素对流动形态的影响。此外,还通过表格突出显示了表面曳力、热和质量传递速率的数值。结果表明,增强的达西数、Casson 和磁场参数降低了 Casson 流体的速度分布。布朗运动的增加增强了颗粒之间的混沌运动,从而使颗粒的动能转化为热能,这反过来又使热分布增加,而浓度分布降低。随着热泳项的增加,质量和能量分布呈正效应。化学反应和刘易斯数的增加导致流体质量的扩散率降低,从而导致质量传递减少,这削弱了浓度层厚度并降低了浓度分布。