Abstract

An analysis has been carried out to explore the impact of slip mechanism on MHD flow of Casson nanofluid over a permeable stretching sheet. Besides, we documented the flow aspects which include thermal radiation, variable wall thickness and chemical reaction. We alter the partial differential flow-related conditions into nonlinear ordinary ones employing the similarity transformation approach. Then, using a popular semi-analytical technique known as the Homotopy Analysis Method (HAM), we were able to untangle them. This method yields to power series solutions to nonlinear differential equations. To illustrate the impact of the velocity, temperature and concentration profiles, a parametric research has been done using tables and diagrams. In the limiting sense, the numerical results of our methodology are in great association with the outcomes of previous research. Finally, it is noted that higher values of the velocity slip constraint cause an enhancement in fluid velocity, while escalating values of the thermal slip constraint cause a decline in temperature distribution. Additionally, owing to an escalate in velocity power index, together the temperature and nanoparticle size fraction profiles considerably accelerate.

中文翻译：

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概述在存在可变壁厚的情况下，可渗透拉伸片上 MHD Casson 纳米流体流动的滑移效应

摘要

已进行分析以探索滑移机制对 Casson 纳米流体在可渗透拉伸片上的 MHD 流动的影响。此外，我们记录了流动方面，包括热辐射、可变壁厚和化学反应。我们采用相似变换方法将偏微分流相关条件更改为非线性普通条件。然后，使用一种称为同伦分析法 (HAM) 的流行半解析技术，我们能够解开它们。该方法产生非线性微分方程的幂级数解。为了说明速度、温度和浓度分布的影响，使用表格和图表进行了参数研究。在限制意义上，我们方法的数值结果与先前研究的结果密切相关。最后，值得注意的是，较高的速度滑移约束值会导致流体速度增加，而热滑移约束值的升高会导致温度分布下降。此外，由于速度功率指数的上升，温度和纳米颗粒尺寸分数分布一起显着加速。