{"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":"https://doi.org/10.22457/apam.v23n2a05817","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":0.0,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122473380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some New Temperature Indices of Oxide and Honeycomb Networks","authors":"V. Kulli","doi":"10.22457/apam.v21n2a8668","DOIUrl":"https://doi.org/10.22457/apam.v21n2a8668","url":null,"abstract":"A graph index is a numerical parameter mathematical ly derived from the graph structure. In this paper, we introduce the first te mp rature index, modified first temperature index, temperature inverse degree, tota l temperature index, temperature zeroth order index, F-temperature index and general vertex temperature in dex of a graph. We compute these newly defined temperature indices for oxide networks and honeycomb networks.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115353732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Group Structure of Unit Г-regular Ring Elements","authors":"N. Kumaresan, S. Meena","doi":"10.22457/apam.v21n2a2655","DOIUrl":"https://doi.org/10.22457/apam.v21n2a2655","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128527982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computation of Some Temperature Indices of HC5C7 [p, q] Nanotubes","authors":"V. Kulli","doi":"10.22457/apam.639v20n2a4","DOIUrl":"https://doi.org/10.22457/apam.639v20n2a4","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132523579","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Correction on “Some Relations Related to Centralizers on Semiprime Semiring, Vol. 13, Issue 1, 2017”","authors":"D. Mary Florence, R. Murugesan, P. Namasivayam","doi":"10.22457/apam.636v20n2a3","DOIUrl":"https://doi.org/10.22457/apam.636v20n2a3","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"132 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131477743","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Solutions of the Diophantine Equation 11^x + 23^y = z^2 with Consecutive Positive Integers x, y","authors":"N. Burshtein","doi":"10.22457/apam.634v20n2a2","DOIUrl":"https://doi.org/10.22457/apam.634v20n2a2","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127506319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Short Note on Solutions of the Diophantine Equations 6^x + 11^y = z^2 and 6^x– 11^y = z^2 in Positive Integers x, y, z","authors":"N. Burshtein","doi":"10.22457/apam.632v20n2a1","DOIUrl":"https://doi.org/10.22457/apam.632v20n2a1","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124904249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Solutions of the Diophantine Equation 8^x + 9^y = z^2 when x, y, z are Positive Integers","authors":"N. Burshtein","doi":"10.22457/apam.641v20n2a6","DOIUrl":"https://doi.org/10.22457/apam.641v20n2a6","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115496872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The (a, b)-Temperature Index of H-Naphtalenic Nanotubes","authors":"V. Kulli","doi":"10.22457/apam.643v20n2a7","DOIUrl":"https://doi.org/10.22457/apam.643v20n2a7","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115129488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Solutions to the Diophantine Equation 7^x + 10^y = z^2 when x, y, z are Positive Integers","authors":"N. Burshtein","doi":"10.22457/apam.638v20n2a5","DOIUrl":"https://doi.org/10.22457/apam.638v20n2a5","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116000639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}