A mathematical model is developed to analyze the free convection flow induced by catalytic surface reaction on a vertical wavy surface embedded in a non-Darcy porous medium. The governing equations are transformed using a generalized transformation which are valid near to and far from the leading edge. We then solve the resulting equations employing finite difference method. A comparison between the present solutions and the results of a past study is made which provides a good agreement. Numerical results reveal that the wall temperature and the surface concentration are enhanced for higher heat release parameter. An increase in the amplitude of the wavy surface and the reactant consumption parameter causes a decrease in the wall temperature and the surface concentration. Due to the increase of the reduced Darcy number the wall temperature substantially becomes higher whereas the surface concentration diminishes. However, a converse characteristic is observed in the case of the activation energy parameter. The momentum, thermal and concentration boundary layers are significantly increased for higher values of the reduced Darcy number and the consumption reactant parameter. Contrary to this, the larger heat release parameter reduces the thicknesses of the momentum, thermal and concentration boundary layers.

中文翻译：

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放置在非达西多孔介质中的垂直波浪表面上的催化表面反应

建立了一个数学模型来分析在嵌入非达西多孔介质中的垂直波浪表面上由催化表面反应引起的自由对流。使用广义变换对控制方程进行变换，该变换在靠近和远离前沿有效。然后我们使用有限差分法求解得到的方程。将当前解决方案与过去研究的结果进行了比较，这提供了良好的一致性。数值结果表明，更高的热释放参数会提高壁温和表面浓度。波状表面的幅度和反应物消耗参数的增加导致壁温和表面浓度的降低。由于减少的达西数增加，壁温显着升高，而表面浓度降低。然而，在活化能参数的情况下观察到相反的特性。对于降低的达西数和消耗反应物参数的较高值，动量、热和浓度边界层显着增加。与此相反，较大的热释放参数减小了动量、热和浓度边界层的厚度。对于降低的达西数和消耗反应物参数的较高值，热边界层和浓度边界层显着增加。与此相反，较大的热释放参数减小了动量、热和浓度边界层的厚度。对于降低的达西数和消耗反应物参数的较高值，热边界层和浓度边界层显着增加。与此相反，较大的热释放参数减小了动量、热和浓度边界层的厚度。