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存在放热催化化学反应时沿曲面的混合对流流动。

Mixed convection flow along a curved surface in the presence of exothermic catalytic chemical reaction.

作者信息

Ahmad Uzma, Ashraf Muhammad, Abbas Amir, Rashad A M, Nabwey Hossam A

机构信息

Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha, 40100, Pakistan.

Department of Mathematics, Faculty of Science, Aswan University, Aswan, 81528, Egypt.

出版信息

Sci Rep. 2021 Jun 18;11(1):12907. doi: 10.1038/s41598-021-92409-3.

Abstract

In the current study, the attention is paid on the phenomena of mixed convection flow under the effect of exothermic catalytic chemical reaction along the curved surface. The proposed problem is modeled in nonlinear coupled partial differential equations. In keeping view the principle of homogeneity the dimensional flow model is transformed into dimensionless by using an appropriate scaling. This well arranged form of equations is then discretized with the aid of finite difference method for the numerical solution. The solutions of the considered model are estimated and displayed in the graphs. Here, in the contemporary study variables of physical significance such as velocity profile, temperature distribution and mass concentration are encountered efficiently. The incorporated pertinent dimensionless numbers that is body shape parameter, mixed convection parameter, modified mixed convection parameter, Prandtle number, exothermic parameter, chemical reaction parameter, temperature relative parameter, dimensionless activation energy parameter, and Schmidt number for which variations in the concentrated physical variables are estimated and presented in graphical way. For each boundary conditions computations are performed along the curved surface for different body shape parameter (n) values range from 0 up to 0.5; the obtained results satisfied by the boundary conditions. The velocity profile becomes increasingly more significant for n equal to 1 and due to the uniformly heated surface temperature profile and mass concentration are uniformly distributed.

摘要

在当前的研究中,关注的是沿曲面发生放热催化化学反应时的混合对流流动现象。所提出的问题用非线性耦合偏微分方程建模。考虑到齐次性原理,通过适当的尺度变换将有量纲的流动模型转化为无量纲模型。然后借助有限差分法对方程的这种良好排列形式进行离散化以获得数值解。对所考虑模型的解进行估计并绘制在图表中。在此,在当代研究中有效地遇到了具有物理意义的变量,如速度剖面、温度分布和质量浓度。纳入了相关的无量纲数,即体型参数、混合对流参数、修正混合对流参数、普朗特数、放热参数、化学反应参数、温度相对参数、无量纲活化能参数和施密特数,针对这些参数估计了集中物理变量的变化并以图形方式呈现。对于每个边界条件,沿着曲面针对不同的体型参数(n)值范围从0到0.5进行计算;所得到的结果满足边界条件。当n等于1时,速度剖面变得越来越显著,并且由于表面温度均匀加热,温度剖面和质量浓度均匀分布。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/aba3/8213746/9c423667760b/41598_2021_92409_Fig1_HTML.jpg

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