M.D. Hossain , M. Eaqub Ali , M.A. Samad , M.M. Alam , M.G. Hafez
{"title":"旋转方案下含Soret和Dufour效应的高孔隙介质中MHD流动离子滑移电流和分层的数值研究","authors":"M.D. Hossain , M. Eaqub Ali , M.A. Samad , M.M. Alam , M.G. Hafez","doi":"10.1016/j.padiff.2025.101158","DOIUrl":null,"url":null,"abstract":"<div><div>The study examines the effects of stratification, Hall and ion-slip currents, viscous dissipation in a magnetic field, and high porosity medium, considering Soret and Dufour effects in a turning flow scheme. The governing mathematical equations are transformed into ordinary differential equations using non-dimensional similarity variables. Numerical results are obtained using the Sixth-order Runge–Kutta method combined with the Nachtsheim–Swigert shooting iteration technique. The influence of various parameters on velocity, temperature, and concentration is presented graphically, while the effects on shear stress, Nusselt number, and Sherwood number are summarized in tabular form. The key findings show that primary velocity (PV) and secondary velocity (SV) increase with higher Hall parameter, Dufour number, and Eckert number. The porosity parameter enhances both PV and SV in the boundary layer, while the magnetic parameter reduces PV and increases SV. The Prandtl number decreases PV and increases SV. The Soret number enhances PV of concentration and reduces SV of temperature. Thermal stratification reduces PV and increases SV of concentration, whereas mass stratification decreases both PV and SV. Additionally, shear stress and heat/mass transfer are influenced by Dufour number, Eckert number, and Soret number, with higher values improving heat and mass transfer. Comparisons with previous studies show a good agreement with observed trends.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101158"},"PeriodicalIF":0.0000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical investigation of ion-slip current and stratification on MHD flow through high porosity medium with Soret and Dufour effects in a turning scheme\",\"authors\":\"M.D. Hossain , M. Eaqub Ali , M.A. Samad , M.M. Alam , M.G. Hafez\",\"doi\":\"10.1016/j.padiff.2025.101158\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The study examines the effects of stratification, Hall and ion-slip currents, viscous dissipation in a magnetic field, and high porosity medium, considering Soret and Dufour effects in a turning flow scheme. The governing mathematical equations are transformed into ordinary differential equations using non-dimensional similarity variables. Numerical results are obtained using the Sixth-order Runge–Kutta method combined with the Nachtsheim–Swigert shooting iteration technique. The influence of various parameters on velocity, temperature, and concentration is presented graphically, while the effects on shear stress, Nusselt number, and Sherwood number are summarized in tabular form. The key findings show that primary velocity (PV) and secondary velocity (SV) increase with higher Hall parameter, Dufour number, and Eckert number. The porosity parameter enhances both PV and SV in the boundary layer, while the magnetic parameter reduces PV and increases SV. The Prandtl number decreases PV and increases SV. The Soret number enhances PV of concentration and reduces SV of temperature. Thermal stratification reduces PV and increases SV of concentration, whereas mass stratification decreases both PV and SV. Additionally, shear stress and heat/mass transfer are influenced by Dufour number, Eckert number, and Soret number, with higher values improving heat and mass transfer. Comparisons with previous studies show a good agreement with observed trends.</div></div>\",\"PeriodicalId\":34531,\"journal\":{\"name\":\"Partial Differential Equations in Applied Mathematics\",\"volume\":\"14 \",\"pages\":\"Article 101158\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-03-25\",\"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/S2666818125000853\",\"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/S2666818125000853","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
Numerical investigation of ion-slip current and stratification on MHD flow through high porosity medium with Soret and Dufour effects in a turning scheme
The study examines the effects of stratification, Hall and ion-slip currents, viscous dissipation in a magnetic field, and high porosity medium, considering Soret and Dufour effects in a turning flow scheme. The governing mathematical equations are transformed into ordinary differential equations using non-dimensional similarity variables. Numerical results are obtained using the Sixth-order Runge–Kutta method combined with the Nachtsheim–Swigert shooting iteration technique. The influence of various parameters on velocity, temperature, and concentration is presented graphically, while the effects on shear stress, Nusselt number, and Sherwood number are summarized in tabular form. The key findings show that primary velocity (PV) and secondary velocity (SV) increase with higher Hall parameter, Dufour number, and Eckert number. The porosity parameter enhances both PV and SV in the boundary layer, while the magnetic parameter reduces PV and increases SV. The Prandtl number decreases PV and increases SV. The Soret number enhances PV of concentration and reduces SV of temperature. Thermal stratification reduces PV and increases SV of concentration, whereas mass stratification decreases both PV and SV. Additionally, shear stress and heat/mass transfer are influenced by Dufour number, Eckert number, and Soret number, with higher values improving heat and mass transfer. Comparisons with previous studies show a good agreement with observed trends.