{"title":"受焦耳加热和粘性耗散影响的MHD - Casson混合纳米流体强迫对流流动的数值模拟","authors":"Abhishek Kumar Singh, Gnanaprasanna Kalathi","doi":"10.1615/jpormedia.2023047328","DOIUrl":null,"url":null,"abstract":"The present study deals with boundary layer flows of buoyancy driven magnetohydrodynamic, chemical radiative and temperature sensitive Casson hybrid nano fluid over diverging channel. Copper (Cu) and aluminium oxide $(Al_2O_3)$ nano particles are suspended upon ethylene glycol based non-newtonian Casson fluid. The proposed model is applicable in power transmission system, design of nuclear reactors where moving plate is used as a control rod and design of compression moulding process. The boundary layer governing equations undergo non-similar transformations followed by Quasilinearization technique and Implicit finite difference scheme. Varga's algorithm is applied on the obtained block tri-diagonal system of equations. This study mainly deals with varying values of Reynold's number, Eckert number, Casson parameter and Richardson's number on velocity,temperature, drag coefficient and nusselt number profiles. Also surface plots are plotted with varied values of Casson parameter and magnetic parameter on skin friction coefficient and nusselt number. The results reveal that for enhanced values of Casson parameter $\\beta$, the velocity profile is augmented and the temperature profile is declined. It is observed that the temperature profile is enhanced at the centre of the channel for enhanced values of viscous dissipation parameter Ec.","PeriodicalId":50082,"journal":{"name":"Journal of Porous Media","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Numerical Approach of forced convective MHD Casson hybrid nano fluid flows exposed to Joule heating and viscous dissipation over diverging channel\",\"authors\":\"Abhishek Kumar Singh, Gnanaprasanna Kalathi\",\"doi\":\"10.1615/jpormedia.2023047328\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present study deals with boundary layer flows of buoyancy driven magnetohydrodynamic, chemical radiative and temperature sensitive Casson hybrid nano fluid over diverging channel. Copper (Cu) and aluminium oxide $(Al_2O_3)$ nano particles are suspended upon ethylene glycol based non-newtonian Casson fluid. The proposed model is applicable in power transmission system, design of nuclear reactors where moving plate is used as a control rod and design of compression moulding process. The boundary layer governing equations undergo non-similar transformations followed by Quasilinearization technique and Implicit finite difference scheme. Varga's algorithm is applied on the obtained block tri-diagonal system of equations. This study mainly deals with varying values of Reynold's number, Eckert number, Casson parameter and Richardson's number on velocity,temperature, drag coefficient and nusselt number profiles. Also surface plots are plotted with varied values of Casson parameter and magnetic parameter on skin friction coefficient and nusselt number. The results reveal that for enhanced values of Casson parameter $\\\\beta$, the velocity profile is augmented and the temperature profile is declined. It is observed that the temperature profile is enhanced at the centre of the channel for enhanced values of viscous dissipation parameter Ec.\",\"PeriodicalId\":50082,\"journal\":{\"name\":\"Journal of Porous Media\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Porous Media\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1615/jpormedia.2023047328\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Porous Media","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1615/jpormedia.2023047328","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
A Numerical Approach of forced convective MHD Casson hybrid nano fluid flows exposed to Joule heating and viscous dissipation over diverging channel
The present study deals with boundary layer flows of buoyancy driven magnetohydrodynamic, chemical radiative and temperature sensitive Casson hybrid nano fluid over diverging channel. Copper (Cu) and aluminium oxide $(Al_2O_3)$ nano particles are suspended upon ethylene glycol based non-newtonian Casson fluid. The proposed model is applicable in power transmission system, design of nuclear reactors where moving plate is used as a control rod and design of compression moulding process. The boundary layer governing equations undergo non-similar transformations followed by Quasilinearization technique and Implicit finite difference scheme. Varga's algorithm is applied on the obtained block tri-diagonal system of equations. This study mainly deals with varying values of Reynold's number, Eckert number, Casson parameter and Richardson's number on velocity,temperature, drag coefficient and nusselt number profiles. Also surface plots are plotted with varied values of Casson parameter and magnetic parameter on skin friction coefficient and nusselt number. The results reveal that for enhanced values of Casson parameter $\beta$, the velocity profile is augmented and the temperature profile is declined. It is observed that the temperature profile is enhanced at the centre of the channel for enhanced values of viscous dissipation parameter Ec.
期刊介绍:
The Journal of Porous Media publishes original full-length research articles (and technical notes) in a wide variety of areas related to porous media studies, such as mathematical modeling, numerical and experimental techniques, industrial and environmental heat and mass transfer, conduction, convection, radiation, particle transport and capillary effects, reactive flows, deformable porous media, biomedical applications, and mechanics of the porous substrate. Emphasis will be given to manuscripts that present novel findings pertinent to these areas. The journal will also consider publication of state-of-the-art reviews. Manuscripts applying known methods to previously solved problems or providing results in the absence of scientific motivation or application will not be accepted. Submitted articles should contribute to the understanding of specific scientific problems or to solution techniques that are useful in applications. Papers that link theory with computational practice to provide insight into the processes are welcome.