Numerical simulation of laminar flow and free convection heat transfer from an isothermal vertical flat plate

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Ali Belhocine, N. Stojanovic, O. I. Abdullah
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引用次数: 0

Abstract

In this modest work, we present a numerical study of the phenomenon of laminar natural convection in a vertical plate, whose wall was maintained at a constant temperature.It was assumed that the boundary layer problem was initially given in a two-dimensional flow even though the physical properties of the fluid were considered to be constant except for the density change with the temperature.The governing equations of the model have been transformed and simplified into a non-linear system of ordinary differential equations (ODE) through the use of similarity variables which we were able to solve numerically using the Runge-Kutta method. This method has better opted for the numerical resolution of this system which was developed in FORTRAN code on the computer. The numerical results of the model were presented in tabular form and the velocity and temperature profiles for various Prandtl numbers were analyzed and depicted graphically. Also, the expressions of the mean heat transfer rate and the average Nusselt number for the whole plate were obtained in the analysis. The results were compared at the end with the numerical results obtained in the literature, showing that they were in good agreement.
等温垂直平板层流和自由对流换热的数值模拟
在这项适度的工作中,我们提出了一个垂直板的层流自然对流现象的数值研究,其壁面保持在恒定温度。假设边界层问题最初是在二维流动中给出的,即使流体的物理性质被认为是恒定的,除了密度随温度变化。利用相似变量将模型的控制方程转化为非线性常微分方程组,并利用龙格-库塔法对其进行数值求解。该方法较好地选择了该系统在计算机上用FORTRAN代码开发的数值分辨率。以表格形式给出了模型的数值计算结果,并对不同普朗特数下的速度和温度分布进行了分析和图解。得到了整个平板的平均换热率和平均努塞尔数的表达式。最后将计算结果与文献中的数值结果进行了比较,结果表明两者吻合较好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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