Nanoparticle shape effects on hydromagnetic flow of Cu‐water nanofluid over a nonlinear stretching sheet in a porous medium with heat source, thermal radiation, and Joule heating
{"title":"Nanoparticle shape effects on hydromagnetic flow of Cu‐water nanofluid over a nonlinear stretching sheet in a porous medium with heat source, thermal radiation, and Joule heating","authors":"C. M. Mohana, B. R. Kumar","doi":"10.1002/zamm.202300188","DOIUrl":null,"url":null,"abstract":"In this article, the shape effects of copper‐water nanofluid on magnetohydrodynamic boundary layer flow and heat transfer over a nonlinear stretching sheet in a porous medium under the influence of radiation, a heat source, and Joule heating effects are studied. The primary objective of this study is to determine which shape of nanoparticle is most effective in terms of heat transfer rate and to analyze how nanoparticle shape affects it. The governing PDEs are transformed to ODEs through similarity variables, and the numerical solutions are computed with the help of MATLAB's built‐in bvp4c solver. Plots of the velocity and temperature profiles are shown for various key parameters. The stretching parameter decreases both velocity and temperature, whereas the magnetic parameter, porosity, Eckert number, radiation, and heat source escalate temperature profiles. The heat transfer rate of lamina‐shaped nanoparticles is higher than that of other shapes.","PeriodicalId":23924,"journal":{"name":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","volume":null,"pages":null},"PeriodicalIF":2.3000,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/zamm.202300188","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
In this article, the shape effects of copper‐water nanofluid on magnetohydrodynamic boundary layer flow and heat transfer over a nonlinear stretching sheet in a porous medium under the influence of radiation, a heat source, and Joule heating effects are studied. The primary objective of this study is to determine which shape of nanoparticle is most effective in terms of heat transfer rate and to analyze how nanoparticle shape affects it. The governing PDEs are transformed to ODEs through similarity variables, and the numerical solutions are computed with the help of MATLAB's built‐in bvp4c solver. Plots of the velocity and temperature profiles are shown for various key parameters. The stretching parameter decreases both velocity and temperature, whereas the magnetic parameter, porosity, Eckert number, radiation, and heat source escalate temperature profiles. The heat transfer rate of lamina‐shaped nanoparticles is higher than that of other shapes.
期刊介绍:
ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.