{"title":"具有光学厚介质和形状效应的自由对流卡森混合纳米流体的奇异分数技术","authors":"N. M. Lisha, Vijaya Kumar","doi":"10.56042/ijct.v30i4.71682","DOIUrl":null,"url":null,"abstract":"The transmission of heat in a time-dependent flow of a viscid non-Newtonian hybrid nanofluid comprising magnetite and copper oxide nanoparticles persuaded by an upright plate has been explored in regards to the effect of heat radiation and nanoparticle shape factors. The fluid flow phenomenon of the problem is constructed using the derivative of the Caputo fractional order 0 1 . As a hybrid method, the dimensionless governing fractional partial differential equation was solved analytically using transforms such as Laplace and Fourier sine. With the Mittag-Leffler function, analytical solutions are achieved for fluid flow, energy distribution, rate of heat transmission, and shear stress. Moreover, limit-case solutions for classical PDEs were given for the derived governing flow model. Graphical depictions, tables, and bar graphs are constructed using \"MATLAB\" for a thorough examination of the problem. The graphical findings suggest that the efficiency of hybrid nanofluids is substantially better with the Caputofractional order approach than with ordinary derivatives. Finally, a comparison with existing literature results is performed and determined to be good.","PeriodicalId":13388,"journal":{"name":"Indian Journal of Chemical Technology","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Singular fractional technique for free convective Casson hybrid nanofluid with optically thick medium and shape effects\",\"authors\":\"N. M. Lisha, Vijaya Kumar\",\"doi\":\"10.56042/ijct.v30i4.71682\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The transmission of heat in a time-dependent flow of a viscid non-Newtonian hybrid nanofluid comprising magnetite and copper oxide nanoparticles persuaded by an upright plate has been explored in regards to the effect of heat radiation and nanoparticle shape factors. The fluid flow phenomenon of the problem is constructed using the derivative of the Caputo fractional order 0 1 . As a hybrid method, the dimensionless governing fractional partial differential equation was solved analytically using transforms such as Laplace and Fourier sine. With the Mittag-Leffler function, analytical solutions are achieved for fluid flow, energy distribution, rate of heat transmission, and shear stress. Moreover, limit-case solutions for classical PDEs were given for the derived governing flow model. Graphical depictions, tables, and bar graphs are constructed using \\\"MATLAB\\\" for a thorough examination of the problem. The graphical findings suggest that the efficiency of hybrid nanofluids is substantially better with the Caputofractional order approach than with ordinary derivatives. Finally, a comparison with existing literature results is performed and determined to be good.\",\"PeriodicalId\":13388,\"journal\":{\"name\":\"Indian Journal of Chemical Technology\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Chemical Technology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.56042/ijct.v30i4.71682\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Chemical Technology","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.56042/ijct.v30i4.71682","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, APPLIED","Score":null,"Total":0}
Singular fractional technique for free convective Casson hybrid nanofluid with optically thick medium and shape effects
The transmission of heat in a time-dependent flow of a viscid non-Newtonian hybrid nanofluid comprising magnetite and copper oxide nanoparticles persuaded by an upright plate has been explored in regards to the effect of heat radiation and nanoparticle shape factors. The fluid flow phenomenon of the problem is constructed using the derivative of the Caputo fractional order 0 1 . As a hybrid method, the dimensionless governing fractional partial differential equation was solved analytically using transforms such as Laplace and Fourier sine. With the Mittag-Leffler function, analytical solutions are achieved for fluid flow, energy distribution, rate of heat transmission, and shear stress. Moreover, limit-case solutions for classical PDEs were given for the derived governing flow model. Graphical depictions, tables, and bar graphs are constructed using "MATLAB" for a thorough examination of the problem. The graphical findings suggest that the efficiency of hybrid nanofluids is substantially better with the Caputofractional order approach than with ordinary derivatives. Finally, a comparison with existing literature results is performed and determined to be good.
期刊介绍:
Indian Journal of Chemical Technology has established itself as the leading journal in the exciting field of chemical engineering and technology. It is intended for rapid communication of knowledge and experience to engineers and scientists working in the area of research development or practical application of chemical technology. This bimonthly journal includes novel and original research findings as well as reviews in the areas related to – Chemical Engineering, Catalysis, Leather Processing, Polymerization, Membrane Separation, Pharmaceuticals and Drugs, Agrochemicals, Reaction Engineering, Biochemical Engineering, Petroleum Technology, Corrosion & Metallurgy and Applied Chemistry.