In this paper, we address a two-dimensional unsteady MHD mixed convective boundary layer flow past a flat surface of an electrically conducting Casson fluids taking radiative heat transfer. The partial slip boundary condition is imposed in the presence of suction/blowing. By adopting the continuous group of symmetry transformations, the symmetries and scaling laws are determined for the governing nonlinear partial differential equations along with boundary conditions. Finally, the set of coupled self-similar nonlinear ODEs is obtained. These equations are solved numerically for finding similar velocity and temperature for different parameter values. The effects of physical parameters on velocity and temperature are determined. The main findings are that the velocity profiles grow concavely and after reaching a critical point, the profiles overshoot by decreasing the velocity. This is due to the change of stress behavior which is an intrinsic property of the Casson fluid model. The imposition of partial slip condition on the flat surface leads to enhancement of the velocity overshoot.

中文翻译：

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在存在滑移的情况下，非定常 MHD 混合对流 Casson 流体在平面上流动

在本文中，我们解决了二维非稳态 MHD 混合对流边界层流经过导电卡松流体平面的辐射传热问题。部分滑移边界条件是在存在吸/吹的情况下施加的。通过采用连续的对称变换群，确定了控制非线性偏微分方程的对称性和比例律以及边界条件。最后得到耦合自相似非线性常微分方程组。对这些方程进行数值求解，以便为不同的参数值找到相似的速度和温度。确定物理参数对速度和温度的影响。主要发现是速度剖面呈凹形增长，在达到临界点后，轮廓通过降低速度而过冲。这是由于应力行为的变化，这是 Casson 流体模型的固有属性。在平面上施加部分滑移条件会导致速度超调的增强。