{"title":"存在Soret & Dufour效应的MHD - Williamson混合纳米流体在连续移动细针上流动的数值研究","authors":"Shilpa Choudhary , Ruchika Mehta , Tripti Mehta","doi":"10.1016/j.padiff.2025.101294","DOIUrl":null,"url":null,"abstract":"<div><div>This research presents a comparative analysis of Cross diffusion effect on 2D MHD chemical reactive Williamson hybrid nanofluid (<em>MoS</em><sub>2</sub> − <em>GO</em>/<em>Methanol</em>) on a moving thin needle with thermal radiation. The main aim of this study is to increase the thermal efficiency using two different categories of nanoparticles: <em>MoS</em><sub>2</sub> − <em>GO</em>, with <em>Methanol</em> serving as the original liquid is calculated. PDEs can be changed into ordinary differential equations with the help of similarity substitution. Which are nonlinear, and the bvp4c technique is used to numerically simplify it. The results of this investigation indicate that the velocity profile of <em>GO</em>/<em>Methanol</em> composite nanofluid increases more than that of <em>MoS</em><sub>2</sub> − <em>GO</em>/<em>Methanol</em> through the increasing amount of Grashof number and Weissenberg parameter, even as the magnetic parameter and porosity impact have the opposite effect. On other hand, the chemical reaction and Schmidt number increase the rate of mass transfer for both nanofluids. The larger values of thermal radiation and Dufour effect enhance the thermal profile.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101294"},"PeriodicalIF":0.0000,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical study of MHD Williamson hybrid nanofluid flow over incessantly moving thin needle in presence of Soret & Dufour effect\",\"authors\":\"Shilpa Choudhary , Ruchika Mehta , Tripti Mehta\",\"doi\":\"10.1016/j.padiff.2025.101294\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This research presents a comparative analysis of Cross diffusion effect on 2D MHD chemical reactive Williamson hybrid nanofluid (<em>MoS</em><sub>2</sub> − <em>GO</em>/<em>Methanol</em>) on a moving thin needle with thermal radiation. The main aim of this study is to increase the thermal efficiency using two different categories of nanoparticles: <em>MoS</em><sub>2</sub> − <em>GO</em>, with <em>Methanol</em> serving as the original liquid is calculated. PDEs can be changed into ordinary differential equations with the help of similarity substitution. Which are nonlinear, and the bvp4c technique is used to numerically simplify it. The results of this investigation indicate that the velocity profile of <em>GO</em>/<em>Methanol</em> composite nanofluid increases more than that of <em>MoS</em><sub>2</sub> − <em>GO</em>/<em>Methanol</em> through the increasing amount of Grashof number and Weissenberg parameter, even as the magnetic parameter and porosity impact have the opposite effect. On other hand, the chemical reaction and Schmidt number increase the rate of mass transfer for both nanofluids. The larger values of thermal radiation and Dufour effect enhance the thermal profile.</div></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":\"15 \",\"pages\":\"Article 101294\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Partial Differential Equations in Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666818125002207\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Partial Differential Equations in Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666818125002207","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
Numerical study of MHD Williamson hybrid nanofluid flow over incessantly moving thin needle in presence of Soret & Dufour effect
This research presents a comparative analysis of Cross diffusion effect on 2D MHD chemical reactive Williamson hybrid nanofluid (MoS2 − GO/Methanol) on a moving thin needle with thermal radiation. The main aim of this study is to increase the thermal efficiency using two different categories of nanoparticles: MoS2 − GO, with Methanol serving as the original liquid is calculated. PDEs can be changed into ordinary differential equations with the help of similarity substitution. Which are nonlinear, and the bvp4c technique is used to numerically simplify it. The results of this investigation indicate that the velocity profile of GO/Methanol composite nanofluid increases more than that of MoS2 − GO/Methanol through the increasing amount of Grashof number and Weissenberg parameter, even as the magnetic parameter and porosity impact have the opposite effect. On other hand, the chemical reaction and Schmidt number increase the rate of mass transfer for both nanofluids. The larger values of thermal radiation and Dufour effect enhance the thermal profile.