{"title":"等温垂直平板层流和自由对流换热的数值模拟","authors":"Ali Belhocine, N. Stojanovic, O. I. Abdullah","doi":"10.24200/sci.2023.61098.7139","DOIUrl":null,"url":null,"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.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical simulation of laminar flow and free convection heat transfer from an isothermal vertical flat plate\",\"authors\":\"Ali Belhocine, N. Stojanovic, O. I. Abdullah\",\"doi\":\"10.24200/sci.2023.61098.7139\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24200/sci.2023.61098.7139\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24200/sci.2023.61098.7139","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Numerical simulation of laminar flow and free convection heat transfer from an isothermal vertical flat plate
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.
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.