Thermal Analysis for Peristaltic Flow of Nanofluid under the Influence of Porous Medium and Double Diffusion in a Non-Uniform Channel Using Sumudu Transformation Method
{"title":"Thermal Analysis for Peristaltic Flow of Nanofluid under the Influence of Porous Medium and Double Diffusion in a Non-Uniform Channel Using Sumudu Transformation Method","authors":"K. AshaS., N. Kallolikar","doi":"10.22457/apam.v23n2a05817","DOIUrl":null,"url":null,"abstract":"The present study aims to investigate the study of double-diffusive convection on peristaltic flow under the assumption of long wavelength and low Reynolds number. The mathematical modelling for a two-dimensional flow, along with double diffusion in nanofluids is considered. The motivation of the present research work is to analyze the effects of thermal radiation on a peristaltic flow through a porous medium in a nonuniform channel. The heat flux of the linear approximation employs the thermal radiation of the flow problem. The governing equations are analytically solved by using Homotopy Perturbation Sumudu Transformation method (HPSTM) with the help of the symbolic software Mathematica. The results of the velocity, pressure rise, temperature, solutal (species) concentration and nanoparticle volume fraction profiles are graphically shown.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/apam.v23n2a05817","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The present study aims to investigate the study of double-diffusive convection on peristaltic flow under the assumption of long wavelength and low Reynolds number. The mathematical modelling for a two-dimensional flow, along with double diffusion in nanofluids is considered. The motivation of the present research work is to analyze the effects of thermal radiation on a peristaltic flow through a porous medium in a nonuniform channel. The heat flux of the linear approximation employs the thermal radiation of the flow problem. The governing equations are analytically solved by using Homotopy Perturbation Sumudu Transformation method (HPSTM) with the help of the symbolic software Mathematica. The results of the velocity, pressure rise, temperature, solutal (species) concentration and nanoparticle volume fraction profiles are graphically shown.