This article studies the effect of suction/blowing, inclined magnetic field, and chemical reaction on heat-absorbing unsteady radiative Casson fluid past a semi-infinite flat plate in porous medium incorporating the oscillatory plate movement as a linear combination of ‘cosine’ and ‘sine’ functions in time. Further, the mass and heat transfer characteristics are examined under the influence of conjugate mass and heat transfer phenomena at the boundary. The governing equations of the model, viz. the energy, mass transfer, and momentum, are transformed into the non-dimensional form adopting suitable non-dimensional variables and parameters. The exact analytic solutions of the model for species concentration and fluid temperature are obtained using Laplace transform technique whilst, the solution for the fluid velocity has been obtained numerically with the help of the INVLAP routine of MATLAB. The expressions for fluid temperature, species concentration, and velocity are obtained and studied graphically for various physical parameters influencing the fluid flow model taking into account the case of both suction and blowing. Further, the solutions when the Casson fluid parameter $$\alpha \rightarrow \infty $$ α → ∞ are also obtained as special cases. Results for the skin friction coefficient, Sherwood number, and Nusselt number are numerically calculated and put in tabular form. An increment for the inclination angle of the magnetic field enhances the fluid velocity while it has a reverse effect on skin friction. Increasing the Schmidt number Sc leads to a reduction in fluid concentration and increasing the value of thermal radiation accelerates fluid temperature. This fluid flow model has several industrial applications in the field of chemical, polymer, medical sciences, etc.

中文翻译：

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共轭加热和倾斜磁场对吸热非定常辐射卡森流体的影响

本文研究了吸/吹、倾斜磁场和化学反应对吸热不稳定辐射卡森流体的影响，该流体通过多孔介质中的半无限平板，将振荡板运动作为“余弦”和“余弦”的线性组合。正弦函数的时间。此外，在边界处的共轭传质和传热现象的影响下检查了传质和传热特性。模型的控制方程，即。采用合适的无量纲变量和参数将能量、传质和动量转化为无量纲形式。使用拉普拉斯变换技术获得物种浓度和流体温度模型的精确解析解，同时，流体速度的解已经在MATLAB 的INVLAP 程序的帮助下以数值方式获得。流体温度、物质浓度和速度的表达式被获得并以图形方式研究了影响流体流动模型的各种物理参数，同时考虑了吸入和吹气的情况。此外，当 Casson 流体参数 $$\alpha \rightarrow \infty $$ α → ∞ 时的解也作为特例获得。对皮肤摩擦系数、舍伍德数和努塞尔数的结果进行数值计算并以表格形式列出。磁场倾角的增量提高了流体速度，同时它对皮肤摩擦有相反的影响。增加施密特数 Sc 导致流体浓度降低，增加热辐射值会加速流体温度。这种流体流动模型在化学、聚合物、医学科学等领域有多种工业应用。