The current paper describes the impact of variable viscosity and thermal conductivity over an exponentially stretching sheet in MHD radiating free stream Newtonian fluid with internal heat generation/absorption in a porous medium. The underlying problem consists of mass, momentum and energy equations, which are transformed by implying appropriate similarity transformations into ordinary differential equations (ODEs). Using the shooting technique, the resulting problem has been solved numerically and tested with MATLAB built-in solver $\mathit{bvp}4c$. The numerical data produced for the coefficient of the skin friction, the local Nusselt number and the local Sherwood number are compared with the available literature and have been found to be in close agreement. In addition, the profiles of velocity, temperature, and concentration are discussed through graphically. It is noted that the skin friction coefficient increases for increasing values of viscosity parameter ${\theta }_r$, magnetic parameter $M$ and porosity parameter $\mathit{Kp}$ which causes reduction in velocity of the fluid flow. On the other hand the local Nusselt number and local Sherwood number decreases for higher values of viscosity parameter ${\theta }_r$ and small thermal conductivity parameter $ϵ$. Heat transfer rate is higher for constant fluid properties when compared with variable fluid properties.

当前的论文描述了在多孔介质中，MHD辐射自由流牛顿流体并产生内部热量/吸收热量时，可变粘度和热导率对指数拉伸片材的影响。潜在的问题包括质量，动量和能量方程，这些方程通过暗示适当的相似度转换为常微分方程（ODE）进行转换。使用射击技术，已解决了所产生的问题，并用MATLAB内置求解器进行了测试$\mathit{BVP}4C$。将皮肤摩擦系数，局部Nusselt数和局部Sherwood数所产生的数值数据与现有文献进行了比较，发现它们之间具有高度一致性。另外，通过图形讨论了速度，温度和浓度的分布。注意，随着粘度参数值的增加，皮肤摩擦系数增加。${\theta }_{\mathrm{[R}}$，磁参数 $\mathrm{中号}$ 和孔隙率参数 $\mathit{功力}$这导致流体流速降低。另一方面，对于较高的粘度参数值，局部Nusselt数和局部Sherwood数减小${\theta }_{\mathrm{[R}}$ 导热系数小 $ϵ$。与可变流体特性相比，恒定流体特性的传热速率更高。