Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material

Abstract The aim of the present study is to explore the variation of heat on MHD Williamson hybrid nanofluid (Ag-TiO2/H2O) model for steady two-dimensional and incompressible flow with a convective boundary condition in a curved coordinate porous system with Ohmic heating. Nusselt number is distingu...

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Main Authors: Ahmed M. Rashad, Mohamed A. Nafe, Dalia A. Eisa
Format: Article
Language:English
Published: Nature Portfolio 2023-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-33043-z
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author Ahmed M. Rashad
Mohamed A. Nafe
Dalia A. Eisa
author_facet Ahmed M. Rashad
Mohamed A. Nafe
Dalia A. Eisa
author_sort Ahmed M. Rashad
collection DOAJ
description Abstract The aim of the present study is to explore the variation of heat on MHD Williamson hybrid nanofluid (Ag-TiO2/H2O) model for steady two-dimensional and incompressible flow with a convective boundary condition in a curved coordinate porous system with Ohmic heating. Nusselt number is distinguished by the process of thermal radiation. The partial differential equations are controlled by the curved coordinate’s porous system, which depicts the flow paradigm. Employing similarity transformations, the acquired equations were turned into coupled non-linear ordinary differential equations. The governing equations were disbanded by RKF45 via shooting methodology. The focus is on examining physical characteristics such as heat flux at the wall, temperature distribution, velocity of flow, and surface friction coefficient for a variety of related factors. The analysis explained that increasing permeability, Biot and Eckert numbers enhance temperature profile and slowdown heat transfer. Moreover, convective boundary condition and thermal radiation enhance the friction of the surface. The model is prepared as an implementation for solar energy in processes of thermal engineering. Morever, this research has enormous applications in the industries of polymer and glass, also in the field of heat exchangers styling, cooling operations of metallic plates, etc.
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spelling doaj.art-68125436af524beebea619245e2f59402023-04-16T11:14:20ZengNature PortfolioScientific Reports2045-23222023-04-0113111410.1038/s41598-023-33043-zHeat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous materialAhmed M. Rashad0Mohamed A. Nafe1Dalia A. Eisa2Department of Mathematics, Faculty of Science, Aswan UniversityDepartment of Mathematics, Faculty of Science, New Valley UniversityDepartment of Mathematics, Faculty of Science, New Valley UniversityAbstract The aim of the present study is to explore the variation of heat on MHD Williamson hybrid nanofluid (Ag-TiO2/H2O) model for steady two-dimensional and incompressible flow with a convective boundary condition in a curved coordinate porous system with Ohmic heating. Nusselt number is distinguished by the process of thermal radiation. The partial differential equations are controlled by the curved coordinate’s porous system, which depicts the flow paradigm. Employing similarity transformations, the acquired equations were turned into coupled non-linear ordinary differential equations. The governing equations were disbanded by RKF45 via shooting methodology. The focus is on examining physical characteristics such as heat flux at the wall, temperature distribution, velocity of flow, and surface friction coefficient for a variety of related factors. The analysis explained that increasing permeability, Biot and Eckert numbers enhance temperature profile and slowdown heat transfer. Moreover, convective boundary condition and thermal radiation enhance the friction of the surface. The model is prepared as an implementation for solar energy in processes of thermal engineering. Morever, this research has enormous applications in the industries of polymer and glass, also in the field of heat exchangers styling, cooling operations of metallic plates, etc.https://doi.org/10.1038/s41598-023-33043-z
spellingShingle Ahmed M. Rashad
Mohamed A. Nafe
Dalia A. Eisa
Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
Scientific Reports
title Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
title_full Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
title_fullStr Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
title_full_unstemmed Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
title_short Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material
title_sort heat variation on mhd williamson hybrid nanofluid flow with convective boundary condition and ohmic heating in a porous material
url https://doi.org/10.1038/s41598-023-33043-z
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AT daliaaeisa heatvariationonmhdwilliamsonhybridnanofluidflowwithconvectiveboundaryconditionandohmicheatinginaporousmaterial