The current research study focuses on the modelling for heat transfer and fluid flow over an inclined moving surface (Sakiadis flow) under the impact of variable density, thermal radiation, and magnetic field effects. A resulting model is reduced to a coupled non-linear system of ordinary differential equations by using an appropriate similarity transformation. The governing equations of the problem are solved numerically with the help of MATLAB built-in numerical solver bvp4c. The computed numerical results for the material properties such as velocity distribution and temperature profile at angle $\alpha =\pi /6$ radian are represented in graphical forms. The skin friction and the rate of heat transfer are tabulated. The principal results show that increasing values of density variation parameter give rise to velocity profile and reduction in temperature profile is noted. An increase in magnetic field and radiation parameter causes the reduction in velocity distribution but augmentation in temperature profile, hence, that behavior endorses the physical reasoning of the phenomenon. A comparison with previously published results on special case of the problem shows excellent agreement.

当前的研究重点是在可变密度、热辐射和磁场效应的影响下，对倾斜运动表面（Sakiadis 流）上的传热和流体流动进行建模。通过使用适当的相似变换，得到的模型被简化为常微分方程的耦合非线性系统。借助 MATLAB 内置数值求解器 bvp4c，对问题的控制方程进行数值求解。材料特性的计算数值结果，如速度分布和角度温度分布$\alpha =\pi /6$弧度以图形形式表示。表皮摩擦力和传热率被制成表格。主要结果表明，密度变化参数值的增加会引起速度剖面和温度剖面的降低。磁场和辐射参数的增加导致速度分布的减少但温度分布的增加，因此，这种行为支持该现象的物理推理。与之前发布的关于该问题特殊情况的结果的比较显示出极好的一致性。