The hydrodynamic flow of an incompressible and isotropic Casson fluid through a yawed cylinder is investigated by employing continuity, momentum, and energy equations satisfying suitable boundary conditions. The density variation is governed by Boussinesq approximation. The model equations consisting of coupled partial differential equations (PDEs) are transformed by applying non-similar transformation relations. The set of transformed PDEs is solved using the analytical technique of homotopy analysis method (HAM). The impacts of varying yaw angle, and mixed convection and Casson parameters over fluid velocity (chordwise and spanwise components), its temperature, Nusselt number, and skin friction coefficients are investigated and explained through various graphs. It is found that the enhancing yaw angle, Casson parameter, and convection parameter augment the fluid velocity, heat transfer rate, and skin friction and reduce the fluid temperature. The agreement of present and published results justifies the application of HAM in modeling the mixed convective Casson fluid flow past a yawed cylinder.

中文翻译：

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混合对流 Casson 流体流过偏航圆柱体的传热分析研究

通过使用满足合适边界条件的连续性、动量和能量方程，研究了不可压缩和各向同性 Casson 流体通过偏航圆柱体的流体动力流动。密度变化由 Boussinesq 近似控制。由耦合偏微分方程 (PDE) 组成的模型方程通过应用非相似变换关系进行变换。使用同伦分析方法 (HAM) 的分析技术求解转换的 PDE 集。不同的偏航角、混合对流和卡森参数对流体速度（弦向和展向分量）、其温度、努塞尔数和皮肤摩擦系数的影响通过各种图表进行了研究和解释。发现增强偏航角、Casson 参数、和对流参数增加流体速度、传热速率和皮肤摩擦并降低流体温度。当前和已发表结果的一致性证明了 HAM 在模拟通过偏航圆柱体的混合对流 Casson 流体流中的应用是合理的。