In this analysis, the mixed convection boundary layer MHD flow of non-Newtonian Carreau fluid subjected to Soret and Dufour effects over a moving vertical plate is studied. The governing flow equations are converted into a set of non-linear ordinary differential equations using suitable transformations. For numerical computations, bvp4c in MATLAB package is used to solve the resulting equations. Impacts of various involved parameters, such as Weissenberg number, power-law index, magnetic parameter, thermal buoyancy parameter, solutal buoyancy parameter, thermal radiation, Dufour number, Soret number and reaction rate parameter, on velocity, temperature and concentration are shown through figures. Also, the local skin-friction coefficient, local Nusselt number and local Sherwood number are calculated and shown graphically and in tabular form for different parameters. Some important facts are revealed during the investigation. The temperature and concentration show decreasing trends with increasing values of power-law index, whereas velocity shows reverse trend and these trends are more prominent for larger values of Weissenberg number. For stronger magnetic field, velocity decreases, while the temperature and concentration increase. It was also found that for shear thinning fluid the drag coefficient exhibits an increasing character when Weissenberg number increases, but for shear thickening fluid the drag coefficient shows the contrary nature. For small values of Dufour number, heat transfer rate enhances with increasing Soret number, but for higher values of Dufour number it slightly dies down with Soret number and the mass transfer rate reacts oppositely. In addition, due to increasing chemical reaction rate, the concentration and velocity decrease.

中文翻译：

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Soret 和 Dufour 对移动垂直板上具有混合对流传热和传质的非牛顿 Carreau 流体 MHD 边界层流动的影响

在此分析中，研究了受 Soret 和 Dufour 效应影响的非牛顿 Carreau 流体在移动垂直板上的混合对流边界层 MHD 流动。使用适当的变换将控制流动方程转换为一组非线性常微分方程。对于数值计算，MATLAB 包中的 bvp4c 用于求解所得方程。韦森伯格数、幂律指数、磁力参数、热浮力参数、溶质浮力参数、热辐射、杜福尔数、索雷数和反应速率参数等各种相关参数对速度、温度和浓度的影响如图所示. 此外，局部皮肤摩擦系数，计算本地努塞尔数和本地舍伍德数，并以图形和表格形式显示不同参数。在调查过程中揭示了一些重要事实。温度和浓度随着幂律指数值的增大而呈下降趋势，而速度则呈相反趋势，并且随着魏森伯格数的增大，这种趋势更加突出。对于更强的磁场，速度会降低，而温度和浓度会增加。还发现，对于剪切变稀流体，随着Weissenberg数的增加，阻力系数表现出增加的特征，而对于剪切变稠流体，阻力系数表现出相反的性质。对于较小的 Dufour 值，传热速率随着 Soret 数的增加而提高，但是对于较高的 Dufour 数值，它会随着 Soret 数而略微减弱，并且传质速率的反应相反。此外，由于化学反应速率增加，浓度和速度降低。