Waqas Ahmad , Muhammad Saqib , Ilyas Khan , Osama Oqilat , Muhammad Sabaoon Khan
{"title":"Soret - Dufour效应对具有活化能的多孔介质中麦克斯韦混合纳米流体MHD混合对流的影响","authors":"Waqas Ahmad , Muhammad Saqib , Ilyas Khan , Osama Oqilat , Muhammad Sabaoon Khan","doi":"10.1016/j.ijft.2025.101278","DOIUrl":null,"url":null,"abstract":"<div><div>To create heating systems that are more economical and efficient, researchers are looking at ways to improve heat transmission and lower fuel usage. Research indicates that solid nanoparticles may considerably enhance the thermal conductivity of normal fluids. The flow of a mixed convective Maxwell Hybrid Nanofluid (HNF) over a porous, linearly expanding flat plate in response to an external magnetic flux is analyzed, taking into account heat radiation, Arrhenius activation energy, Dufour, and Soret effects. Following the necessary modifications, the system is represented by linked nonlinear Partial Differential Equations (PDEs). The three-stage Lobatto IIIa formula approach, which is implemented using MATLAB's shooting method, is used to evaluate the estimated convergence of the numerical solution of these equations. Taking into account that the first and second nanoparticles' volume concentrations fall between 0.01 % and 0.2 %. Numerical results for the Sherwood number, local Nusselt number, and skin friction coefficient are produced under different parameter values. The results are displayed graphically to demonstrate how various variables affect the flow field. Examples of these parameters include thermal and Brownian diffusion, radiation, Eckert, Lewis, and Soret numbers, magnetic and Maxwell fluid parameters, Darcy numbers, Dufour and Prandtl numbers, and so on. The results of the study demonstrated that the Grashof number, Eckert number, the mass Grashof number stretching parameter, Brownian diffusion parameter, thermal diffusion parameter, and volumetric amount of copper all raise the velocity profile. However, the velocity profile is decreased by the volumetric amount of aluminum, the magnetic parameter, and the porous medium.</div></div>","PeriodicalId":36341,"journal":{"name":"International Journal of Thermofluids","volume":"28 ","pages":"Article 101278"},"PeriodicalIF":0.0000,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Significance of Soret Dufour Effects on MHD mixed convective flow of maxwell hybrid nanofluid in porous medium with activation energy\",\"authors\":\"Waqas Ahmad , Muhammad Saqib , Ilyas Khan , Osama Oqilat , Muhammad Sabaoon Khan\",\"doi\":\"10.1016/j.ijft.2025.101278\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>To create heating systems that are more economical and efficient, researchers are looking at ways to improve heat transmission and lower fuel usage. Research indicates that solid nanoparticles may considerably enhance the thermal conductivity of normal fluids. The flow of a mixed convective Maxwell Hybrid Nanofluid (HNF) over a porous, linearly expanding flat plate in response to an external magnetic flux is analyzed, taking into account heat radiation, Arrhenius activation energy, Dufour, and Soret effects. Following the necessary modifications, the system is represented by linked nonlinear Partial Differential Equations (PDEs). The three-stage Lobatto IIIa formula approach, which is implemented using MATLAB's shooting method, is used to evaluate the estimated convergence of the numerical solution of these equations. Taking into account that the first and second nanoparticles' volume concentrations fall between 0.01 % and 0.2 %. Numerical results for the Sherwood number, local Nusselt number, and skin friction coefficient are produced under different parameter values. The results are displayed graphically to demonstrate how various variables affect the flow field. Examples of these parameters include thermal and Brownian diffusion, radiation, Eckert, Lewis, and Soret numbers, magnetic and Maxwell fluid parameters, Darcy numbers, Dufour and Prandtl numbers, and so on. The results of the study demonstrated that the Grashof number, Eckert number, the mass Grashof number stretching parameter, Brownian diffusion parameter, thermal diffusion parameter, and volumetric amount of copper all raise the velocity profile. However, the velocity profile is decreased by the volumetric amount of aluminum, the magnetic parameter, and the porous medium.</div></div>\",\"PeriodicalId\":36341,\"journal\":{\"name\":\"International Journal of Thermofluids\",\"volume\":\"28 \",\"pages\":\"Article 101278\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Thermofluids\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666202725002253\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Chemical Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Thermofluids","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666202725002253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Chemical Engineering","Score":null,"Total":0}
Significance of Soret Dufour Effects on MHD mixed convective flow of maxwell hybrid nanofluid in porous medium with activation energy
To create heating systems that are more economical and efficient, researchers are looking at ways to improve heat transmission and lower fuel usage. Research indicates that solid nanoparticles may considerably enhance the thermal conductivity of normal fluids. The flow of a mixed convective Maxwell Hybrid Nanofluid (HNF) over a porous, linearly expanding flat plate in response to an external magnetic flux is analyzed, taking into account heat radiation, Arrhenius activation energy, Dufour, and Soret effects. Following the necessary modifications, the system is represented by linked nonlinear Partial Differential Equations (PDEs). The three-stage Lobatto IIIa formula approach, which is implemented using MATLAB's shooting method, is used to evaluate the estimated convergence of the numerical solution of these equations. Taking into account that the first and second nanoparticles' volume concentrations fall between 0.01 % and 0.2 %. Numerical results for the Sherwood number, local Nusselt number, and skin friction coefficient are produced under different parameter values. The results are displayed graphically to demonstrate how various variables affect the flow field. Examples of these parameters include thermal and Brownian diffusion, radiation, Eckert, Lewis, and Soret numbers, magnetic and Maxwell fluid parameters, Darcy numbers, Dufour and Prandtl numbers, and so on. The results of the study demonstrated that the Grashof number, Eckert number, the mass Grashof number stretching parameter, Brownian diffusion parameter, thermal diffusion parameter, and volumetric amount of copper all raise the velocity profile. However, the velocity profile is decreased by the volumetric amount of aluminum, the magnetic parameter, and the porous medium.