A class of second-order schemes with application to chemically reactive radiative natural convection flow in a rectangular enclosure,International Journal for Numerical Methods in Fluids

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A class of second-order schemes with application to chemically reactive radiative natural convection flow in a rectangular enclosure
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2021-07-05 , DOI: 10.1002/fld.5027
Yasir Nawaz ₁ , Muhammad Shoaib Arif ₁ , Amna Nazeer ₂

Affiliation

A new class of explicit second-order schemes is proposed for solving time-dependent partial differential equations. This class of proposed schemes is constructed on three-time levels. Stability is found for the scalar two-dimensional heat equation and the system of time-dependent partial differential equations. This partial differential equations system comprises a non-dimensional set of equations obtained from the governing equations of natural convection chemically reactive fluid flow in a rectangular enclosure with thermal radiations. Flow is generated by applying the force of pressure. Graphs of streamlines, contours plots of velocity, temperature and concentration profiles, local Nusselt number, and local Sherwood number are displayed with the variation of time and parameters in the considered partial differential equations. Results are shown in the form of streamlines and contour plots. It is found that local Nusselt number has dual behavior by enhancing radiation parameter whereas local Sherwood number de-escalates by upraising the reaction rate parameter. It is hoped that the results in this pagination will serve as a valuable resource for future fluid-flow studies in an enclosed industrial environment.

中文翻译：

一类适用于矩形外壳中化学反应辐射自然对流流动的二阶方案

提出了一类新的显式二阶方案，用于求解瞬态偏微分方程。这类提议的方案是在三个时间层次上构建的。发现了标量二维热方程和瞬态偏微分方程组的稳定性。该偏微分方程系统包括从具有热辐射的矩形外壳中的自然对流化学反应流体流动的控制方程获得的一组无量纲方程。流动是通过施加压力产生的。在考虑的偏微分方程中，随着时间和参数的变化，显示了流线图、速度、温度和浓度分布的等高线图、局部 Nusselt 数和局部 Sherwood 数。结果以流线图和等高线图的形式显示。发现局部 Nusselt 数通过增强辐射参数具有双重行为，而局部 Sherwood 数通过提高反应速率参数而降低。希望此分页中的结果将成为未来封闭工业环境中流体流动研究的宝贵资源。

更新日期：2021-07-05

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