A shooting method has been introduced for determining the numerical solution of the ordinary differential equations which describe the Newtonian magnetohydrodynamic laminar fluid flow due to an unsteady stretching sheet together with the presence of thermal radiation and variable heat flux. The variable viscosity and variable conductivity are taken into consideration. Absence of magnetic field in some studies restricts the development of the energy-efficient heat transfer mechanism as is desired in numerous applications. The present study encompasses parameters such as unsteadiness parameter, porous parameter, viscosity parameter, magnetic number, radiation parameter, and conductivity parameter. It has been consummated that the proposed model is superior to other existing models for the industrial fluid.

中文翻译：

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由于具有热辐射，多孔介质和可变热通量的不稳定拉伸片而产生的磁流体动力流动

为了确定常微分方程的数值解，引入了一种射击方法，该常微分方程描述了牛顿的磁流体动力学层流，这是由于拉伸片不稳定以及存在热辐射和可变热通量引起的。考虑了可变粘度和可变电导率。在一些研究中，磁场的缺乏限制了高能效传热机制的发展，正如许多应用所希望的那样。本研究包括不稳定参数，多孔参数，粘度参数，磁数，辐射参数和电导率参数等参数。已经总结出，提出的模型优于其他现有的工业流体模型。