The main purpose of this study is to give a mathematical analysis of heat and mass transfer in a boundary layer flow of Casson fluid over an inclined stretching cylinder in the presence of magnetic nanoparticles. The effects of Casson parameter, curvature of the cylinder, angle of inclination, Buoyancy force, external magnetic field, thermal radiation, Joule heating, viscous dissipation, heat source and chemical reaction are taken into account. Appropriate transformations are incorporated to convert the governing partial differential equations and the boundary conditions suitable for computation. The elegant optimal homotopy analysis method is used to obtain analytic approximations for the resulting system of nonlinear differential equations. The features of flow characteristics such as velocity, temperature and concentration profiles in response to the variations of the emerging parameters are simulated and examined in detail. Extensive analysis is also made to explore the influences of relevant constraints on the rates of momentum, heat and mass transfer near the surface of the cylinder. Among the many outputs of the study, it is found that increasing the non-Newtonian Casson parameter can slowdown the flow velocity and enhance the temperature and concentration profiles. It is also revealed that significant enhancement of wall friction and mass transfer rate can be achieved by increasing the curvature of the cylinder. Further, the analytic approximations obtained by implementing the optimal homotopy analysis method to the present model are in close agreements with previous studies under common assumptions.

这项研究的主要目的是在存在磁性纳米粒子的情况下，对卡森流体在倾斜拉伸圆柱体上的边界层流中的传热和传质进行数学分析。考虑了卡森参数，圆柱曲率，倾斜角度，浮力，外部磁场，热辐射，焦耳热，粘性耗散，热源和化学反应的影响。合并了适当的转换以转换控制偏微分方程和适合计算的边界条件。优雅的最优同伦分析方法用于获得所得非线性微分方程系统的解析近似。流动特性的特征，例如速度，模拟和检查了响应新兴参数变化的温度和浓度曲线。还进行了广泛的分析，以探索相关约束条件对气缸表面附近的动量，热和质量传递速率的影响。在该研究的许多输出中，发现增加非牛顿卡森参数可以减慢流速，并提高温度和浓度分布。还揭示出，通过增加圆柱体的曲率可以显着提高壁摩擦力和传质速率。此外，通过对本模型实施最佳同伦分析方法获得的解析近似值与以前在共同假设下的研究非常吻合。