The present paper analyzes the effect of chemical reaction on free convection MHD motion of steady, laminar, incompressible liquid under the influence of heat source/sink. The motion is considered over an exponential radiative extending surface with a magnetic field. An appropriate similar transformation is employed to convert the nonlinear system of partial differential equations (PDEs) to a set of ordinary differential equations (ODEs). Due to the high nonlinearity, the analytical approach for these coupled nonlinear equations does not hold good. Therefore, these transformed ODEs are solved by using numerical techniques adopting Runge-Kutta fourth-order method accompanied by shooting technique. The behavior of different physical parameters on the motion phenomena is shown via diagrams. However, as a concluding remark, the major outcomes of the present investigation are described as: the buoyant forces overshoot the velocity profile significantly whereas the fluid temperature retards with an increasing Soret number. Finally, the chemical reaction parameter favors retard the concentration profiles resulted in reducing the thickness of the solutal boundary layer.

中文翻译：

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Soret和Dufour效应对指数拉伸片上MHD流动的影响：数值研究

本文分析了在热源/汇的影响下化学反应对稳态，层状，不可压缩液体的自由对流MHD运动的影响。该运动被认为是在具有磁场的指数辐射扩展表面上。采用适当的类似变换将偏微分方程（PDE）的非线性系统转换为一组常微分方程（ODE）。由于高度的非线性，这些耦合的非线性方程的解析方法并不适用。因此，通过采用采用Runge-Kutta四阶方法并结合射击技术的数值技术来求解这些变换的ODE。通过图表显示了不同物理参数对运动现象的行为。但是，作为总结，本研究的主要成果描述为：浮力明显超过速度分布，而流体温度随着索雷特数的增加而延迟。最后，化学反应参数有利于延迟浓度分布，从而减小了溶质边界层的厚度。