{"title":"Two-phase micropolar nanofluid flow in an isothermal extending porous sheet with heat radiation and chemical interaction: Numerical study","authors":"MD. Shamshuddin , Fakhraldeen Gamar , S.O. Salawu , B. Prabhakar Reddy","doi":"10.1016/j.padiff.2025.101226","DOIUrl":null,"url":null,"abstract":"<div><div>This study examines the capabilities of thermal radiation and chemical reactions on the transport of a micropolar nanofluid flow along a vertical sheet contiguous with an isothermal porous structure. Using similarity variable techniques, the partial differential equations (PDEs) which elucidate the envisioned model yield nonlinear ordinary differential equations (ODEs) in their self-similar form. The fourth-order Runge-Kutta method in combination with the shooting techniques is used to solve them. The important characteristics of the fluid speed, thermal transport, and solute profiles are explained by the graphs and friction-drag, rate of thermal and solutal portages by the tables. This analysis shows that increasing Brownian motion and thermophoresis outcomes improve the concentration profile, whereas augmenting chemical reaction rate specifications and Lewis number has shown a reverse effect. The fluid speed increased by the micropolar parameter, but the angular velocity faced opposite erudition. The modified Forchheimer and Darcy factor was initiated to improve fluid velocity. The temperature field was enlarged by radiation, Darcy term, and heat source, but it was decreased by the micropolar parameter. Further, the findings, which include a table comparing local boundary friction, heat, and mass transfer rates at different parameter values, are consistent with previous studies. These results provide predictive insights into flow patterns, temperature distribution, and fluid concentration, all of which have significant consequences for engineering efficiency.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101226"},"PeriodicalIF":0.0000,"publicationDate":"2025-05-16","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/S2666818125001536","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
This study examines the capabilities of thermal radiation and chemical reactions on the transport of a micropolar nanofluid flow along a vertical sheet contiguous with an isothermal porous structure. Using similarity variable techniques, the partial differential equations (PDEs) which elucidate the envisioned model yield nonlinear ordinary differential equations (ODEs) in their self-similar form. The fourth-order Runge-Kutta method in combination with the shooting techniques is used to solve them. The important characteristics of the fluid speed, thermal transport, and solute profiles are explained by the graphs and friction-drag, rate of thermal and solutal portages by the tables. This analysis shows that increasing Brownian motion and thermophoresis outcomes improve the concentration profile, whereas augmenting chemical reaction rate specifications and Lewis number has shown a reverse effect. The fluid speed increased by the micropolar parameter, but the angular velocity faced opposite erudition. The modified Forchheimer and Darcy factor was initiated to improve fluid velocity. The temperature field was enlarged by radiation, Darcy term, and heat source, but it was decreased by the micropolar parameter. Further, the findings, which include a table comparing local boundary friction, heat, and mass transfer rates at different parameter values, are consistent with previous studies. These results provide predictive insights into flow patterns, temperature distribution, and fluid concentration, all of which have significant consequences for engineering efficiency.