The problem of cross diffusion (Soret/Dufour) and internal heat generation effects on combined convection flow of non-Newtonian fluids flow over the vertical wedge in a saturated porous medium with the entire regime is solved numerically. The internal heat generation is assumed to be an exponential decaying form. The power law model of Ostwald-de-Waele for non-Newtonian fluids is considered here. The entire regime of the combined convection is included, as the combined convection parameter varies from 0 (pure free convection) to 1 (pure forced convection). The transformed equations are obtained by using a suitable coordinate transformation and then Keller box method (KBM) is utilized to solve the non-similar equations for the variable heat flux and variable mass flux (VHF/VMF) conditions. Comparisons with the previously published article are performed and the good agreement is achieved. The main numerical results for the dimensionless temperature and concentration distributions, the local Nusselt and Sherwood numbers are obtained.

数值求解了横向扩散（Soret / Dufour）和内部生热对非牛顿流体在垂直多孔楔上在饱和多孔介质中流过的对流的联合对流问题。假定内部热量产生是指数衰减形式。这里考虑非牛顿流体的Ostwald-de-Waele幂定律模型。由于组合对流参数从0（纯自由对流）到1（纯强制对流）变化，因此包括了组合对流的整个范围。通过使用适当的坐标变换获得变换后的方程，然后使用凯勒盒方法（KBM）求解可变热通量和可变质量通量（VHF / VMF）条件的非相似方程。与先前发表的文章进行了比较，并达成了良好的共识。得到了无因次温度和浓度分布，局部Nusselt和Sherwood数的主要数值结果。