The present investigation explores the impact of mass and heat transfer on the magneto-hydrodynamic (MHD) flow of Casson fluid through porous medium due to shrinking wall subject to Lorentz force and heat generation/absorption effects. Dual branches for the profiles of velocity, temperature and mass fraction have been computed numerically by exploitation of explicit Runge-Kutta procedure. Mathematical modelling is developed for the conversion of physical model into set of mathematical equations which are simplified using order analysis. The computations for the solution construction have been made numerically via shooting technique and the results are obtained for stream function, temperature and concentration profiles. The aim of presented analysis is to observed that the dual numerical solutions exist for stream functions, skin friction, temperature and concentration profiles. Graphical illustrations have been prepared for different physical quantities including transfer of mass, heat absorption/generation, influence of chemical reaction, Schmidt number and non-Newtonian parameter etc. Results of proposed method are also provided to describe the dual solutions for the local Nusselt and Sherwood numbers as well as for heat transfer rate for Propane and Ethelene Glycol. The Prandtl number and Schmidt number decay the temperature and concentration profiles, respectively.

本研究探讨了由于洛伦兹力和热量产生/吸收效应导致壁面收缩，质量和热传递对卡森流体通过多孔介质的磁流体动力学（MHD）流动的影响。利用显式的Runge-Kutta程序，对速度，温度和质量分数分布的双分支进行了数值计算。开发了数学建模，用于将物理模型转换为一组数学方程式，可使用阶次分析对其进行简化。通过射击技术对溶液构造进行了数值计算，并获得了流函数，温度和浓度曲线的结果。提出分析的目的是观察到存在针对流函数，蒙皮摩擦，温度和浓度曲线。已经为不同的物理量准备了图形说明，包括质量传递，吸热/产生，化学反应的影响，施密特数和非牛顿参数等。还提供了所提出方法的结果，以描述局部努塞尔方程和舍伍德数以及丙烷和以太乙二醇的传热速率。Prandtl数和Schmidt数分别衰减温度和浓度曲线。还提供了所提出方法的结果来描述局部Nusselt和Sherwood数以及丙烷和Ethelene乙二醇的传热速率的对偶解。Prandtl数和Schmidt数分别衰减温度和浓度曲线。还提供了所提出方法的结果，以描述对局部Nusselt和Sherwood数以及对丙烷和Ethelene乙二醇的传热速率的对偶解。Prandtl数和Schmidt数分别衰减温度和浓度曲线。