Abstract The determination of contemporary study is to explore the combine effect of transfer of heat and chemical reaction on the flow through a semi-infinite asymmetric channel having orthogonally expanding or contracting porous wall. The boundary condition corresponds to the existence of convection heating is also considered. The mathematical equations represents the present flow problems are compact to nonlinear ODE's) by introducing appropriate similarity transformations and then solved by using Homotopy Analysis method (HAM). The accuracy of analytic solution is ensured by checking its convergence. To get more efficient results, the graphical representation of table of convergent series solution is obtained. The influences of significant involved parameters on velocity, temperature and concentration profiles are tested. The penetration Reynolds numbers is positive for case of injection and negative for suction case.The dimensionless wall contraction (or expansion) rate parameter α is taken to be negative for contraction and positive for expansion. The temperature profile dropsfor contraction combined with suction because of rise in the fluid suction by walls. The temperature distribution upsurge when contraction combined with injection with the raising values of parameter of contraction rate.

中文翻译：

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具有吸收和生成特征的可变形壁通道之间粘性流体流动的建设性/破坏性化学反应方面

摘要 当代研究的决心是探索热传递和化学反应对通过具有正交膨胀或收缩多孔壁的半无限不对称通道的流动的综合影响。还考虑了对应于对流加热存在的边界条件。通过引入适当的相似变换，然后使用同伦分析方法（HAM）求解，数学方程表示当前的流动问题是紧致非线性常微分方程）。通过检查其收敛性来保证解析解的准确性。为了得到更有效的结果，得到收敛级数解表的图形表示。测试了重要的相关参数对速度、温度和浓度分布的影响。渗透雷诺数在注入情况下为正，在吸入情况下为负。无量纲壁收缩（或膨胀）速率参数 α 取为收缩为负，膨胀为正。由于壁对流体的吸力上升，温度分布因收缩和吸力而下降。收缩结合注射时温度分布升高，收缩率参数升高。