{"title":"考虑粘性耗散、非达西效应和热产生/吸收效应的垂直平板间MHD自然对流纳米流体流动","authors":"H. Soliman","doi":"10.21608/ijaebs.2022.157903.1031","DOIUrl":null,"url":null,"abstract":"The paper investigates the analytical and numerical solution of MHD natural convection of grade three of a non-Newtonian Nanofluid flow between two vertical flat plates through a porous medium under the influence of non-Darcy resistance force, viscous dissipation, and heat generation/absorption. Analytically the nonlinear partial differential equations describing the present problem are solved using Multi−step differential transform method (MDTM) one of the most successful approaches for calculating an approximate solution to a system's nonlinear differential equations [1]. Numerically paired linearized differential (momentum and energy) equations are transformed into a linear system of algebraic equations using the finite difference method (FDM). Graphs and tables are used to display the effects of different parameters on velocity and temperature. The comparisons between current results and available previous results are listed in the tables, which indicate that the current answers are very similar to the past answers. The study found that (MDTM) and (FDM) are powerful approaches for solving non-linear differential equations such as this problem.","PeriodicalId":360790,"journal":{"name":"International Journal of Advanced Engineering and Business Sciences","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MHD Natural Convection Nanofluid Flow between two Vertical Flat Plates through Porous Medium considering effects of viscous dissipation, non-Darcy, and Heat Generation/Absorption\",\"authors\":\"H. Soliman\",\"doi\":\"10.21608/ijaebs.2022.157903.1031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper investigates the analytical and numerical solution of MHD natural convection of grade three of a non-Newtonian Nanofluid flow between two vertical flat plates through a porous medium under the influence of non-Darcy resistance force, viscous dissipation, and heat generation/absorption. Analytically the nonlinear partial differential equations describing the present problem are solved using Multi−step differential transform method (MDTM) one of the most successful approaches for calculating an approximate solution to a system's nonlinear differential equations [1]. Numerically paired linearized differential (momentum and energy) equations are transformed into a linear system of algebraic equations using the finite difference method (FDM). Graphs and tables are used to display the effects of different parameters on velocity and temperature. The comparisons between current results and available previous results are listed in the tables, which indicate that the current answers are very similar to the past answers. The study found that (MDTM) and (FDM) are powerful approaches for solving non-linear differential equations such as this problem.\",\"PeriodicalId\":360790,\"journal\":{\"name\":\"International Journal of Advanced Engineering and Business Sciences\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Advanced Engineering and Business Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/ijaebs.2022.157903.1031\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Advanced Engineering and Business Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/ijaebs.2022.157903.1031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
MHD Natural Convection Nanofluid Flow between two Vertical Flat Plates through Porous Medium considering effects of viscous dissipation, non-Darcy, and Heat Generation/Absorption
The paper investigates the analytical and numerical solution of MHD natural convection of grade three of a non-Newtonian Nanofluid flow between two vertical flat plates through a porous medium under the influence of non-Darcy resistance force, viscous dissipation, and heat generation/absorption. Analytically the nonlinear partial differential equations describing the present problem are solved using Multi−step differential transform method (MDTM) one of the most successful approaches for calculating an approximate solution to a system's nonlinear differential equations [1]. Numerically paired linearized differential (momentum and energy) equations are transformed into a linear system of algebraic equations using the finite difference method (FDM). Graphs and tables are used to display the effects of different parameters on velocity and temperature. The comparisons between current results and available previous results are listed in the tables, which indicate that the current answers are very similar to the past answers. The study found that (MDTM) and (FDM) are powerful approaches for solving non-linear differential equations such as this problem.