In this endeavor thin‐film flow of magneto hydrodynamic (MHD) fluid in the presence of thermal conductivity and variable viscosity over a porous steady stretching surface with a magnetic field and radioactive heat fluctuation is studied. In this phenomenon the viscosity vary inversely and thermal conductivity directly with temperature. The nonlinear coupled differential equations for the velocity and temperature profiles are achieved and solved by using a new analytical approach, called 3^rd form of Optimal Homotopy Asymptotic Method (OHAM‐3). The proposed technique consists of initial guess, embedding parameter, optimal convergence control parameters, auxiliary functions and homotopy. Numerical (ND‐Solve Method) solutions are also achieved and compared with the results gained by the proposed method. The fast convergence of the applied new method and the influence of different physical nondimensional parameters on the velocity and temperature profiles are mainly focused in this research.

中文翻译：

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在热导率和可变粘度存在下研究磁流体动力流体薄膜流动的新分析方法

在这种努力下，研究了磁流体动力（MHD）流体在具有磁场和放射性热波动的多孔稳定拉伸表面上存在热导率和可变粘度的情况下的薄膜流动。在这种现象下，粘度成反比，导热系数直接随温度变化。速度和温度曲线的非线性耦合微分方程是通过使用一种称为^3rd的新分析方法来求解的最佳同伦渐近方法（OHAM-3）的形式。所提出的技术包括初始猜测，嵌入参数，最优收敛控制参数，辅助函数和同伦性。还获得了数值（ND-求解方法）解决方案，并将其与该方法获得的结果进行了比较。本研究主要关注新方法的快速收敛以及不同物理无量纲参数对速度和温度分布的影响。