In this research article, three-dimensional Casson nanofluid under influences of Arrhenius stimulation energy and thermal radiation is considered. The flow is induced by a turning disk. Temperature, velocity, and concentration slips at the outward of the turning disk are deliberated. The effect of Brownian movement and thermophoresis is examined due to the nanosized particles in a Casson fluid dispersed over the turning disk. The appropriate transformation methods for reducing a set of Partial differential equations (PDEs) to nonlinear Ordinary differential equations (ODEs) and further solved by the homotopy analysis method (HAM). Numerical simulation using Schmidt number, magnetic, Casson, Brownian movement, and thermophoresis parameters on outspread, temperature, tangential velocities, and nanoparticles are portrayed. Local Nusselt number, Skin friction, and Sherwood number are plotted and investigated. The graphical results show that the tangential velocity of nanofluids decreases because of an addition in Reynolds’ number, while the radial velocity displays the converse patterns. The tangential and radial velocities reduce with the increment magnetic factor. It is also perceived that an augmentation in estimations of radiation parameters enhances the heat transfer rate. Increasing the values of non-dimensional activation energy raises the mass transfer rate.

在这篇研究文章中，考虑了受 Arrhenius 刺激能量和热辐射影响的三维 Casson 纳米流体。流动是由转动盘引起的。考虑了转盘外侧的温度、速度和浓度滑移。由于卡松流体中的纳米级颗粒分散在转动盘上，因此检查了布朗运动和热泳的影响。将一组偏微分方程 (PDE) 简化为非线性常微分方程 (ODE) 并通过同伦分析法 (HAM) 进一步求解的适当变换方法。描述了使用施密特数、磁性、卡松、布朗运动和热泳参数对扩展、温度、切向速度和纳米粒子的数值模拟。当地努塞尔编号，绘制并研究了皮肤摩擦力和舍伍德数。图形结果表明，由于雷诺数的增加，纳米流体的切向速度降低，而径向速度显示相反的模式。切向和径向速度随着磁因数的增加而减小。人们还认为辐射参数估计的增加提高了传热率。增加无量纲活化能的值会提高传质速率。人们还认为辐射参数估计的增加提高了传热率。增加无量纲活化能的值会提高传质速率。人们还认为辐射参数估计的增加提高了传热率。增加无量纲活化能的值会提高传质速率。