This paper focuses on the effects of the boundary wall thickness and the velocity power index parameters on a steady 2D mixed convection flow along a vertical semi-infinite moving plate with non-uniform thickness. The effects of diffusion on the velocity, temperature and concentration fields with power-law temperature and concentration distributions at the plate surface are also analyzed. A shooting technique is adopted to obtain dual solutions for the system of nonlinear coupled ordinary differential equations. The significant impacts on the boundary layer development along the boundary surface have been noticed due to the non-flatness of the moving surface. It is noted that the velocity, temperature and concentration profiles admit dual solutions for certain range of unsteadiness parameter. Both, upper and lower branch, solutions are presented to display the effects of the boundary wall thickness and the velocity power index on the flow, thermal and concentration fields. A stability analysis is performed to determine the existence of dual solutions.

中文翻译：

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厚度不均匀的动板上混合对流流动的稳定性分析

本文着重研究了边界壁厚度和速度功率指数参数对沿厚度不均匀的垂直半无限移动板沿稳定二维混合对流流动的影响。还分析了扩散对速度，温度和浓度场的影响，以及幂律温度和板表面的浓度分布。采用射击技术获得了非线性耦合常微分方程组的对偶解。由于移动表面的不平整性，已经注意到沿边界表面对边界层发展的重大影响。值得注意的是，速度，温度和浓度曲线允许在一定范围的不稳定参数上采用双重解。上下两个分支 提出了解决方案以显示边界壁厚度和速度功率指数对流场，热场和浓度场的影响。执行稳定性分析以确定对偶解的存在。