Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach

Abstract Main concern of current research is to develop a novel mathematical model for stagnation-point flow of magnetohydrodynamic (MHD) Prandtl–Eyring fluid over a stretchable cylinder. The thermal radiation and convective boundary condition are also incorporated. The modeled partial differential...

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Autores principales: Zakir Ullah, Ikram Ullah, Gul Zaman, Hamda Khan, Taseer Muhammad
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:4e46b92bd7de421c9fa1c12158b275402021-11-14T12:24:16ZMathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach10.1038/s41598-021-01463-42045-2322https://doaj.org/article/4e46b92bd7de421c9fa1c12158b275402021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01463-4https://doaj.org/toc/2045-2322Abstract Main concern of current research is to develop a novel mathematical model for stagnation-point flow of magnetohydrodynamic (MHD) Prandtl–Eyring fluid over a stretchable cylinder. The thermal radiation and convective boundary condition are also incorporated. The modeled partial differential equations (PDEs) with associative boundary conditions are deduced into coupled non-linear ordinary differential equations (ODEs) by utilizing proper similarity transformations. The deduced dimensionless set of ODEs are solved numerically via shooting method. Behavior of controlling parameters on the fluid velocity, temperature fields as well as skin friction and Nusselt number are highlighted through graphs. Outcome declared that dimensionless fluid temperature boosts up for both the radiation parameter and Biot number. It is also revealed that the magnitude of both heat transfer rate and skin friction enhance for higher estimation of curvature parameter. Furthermore, comparative analysis between present and previous reports are provided for some specific cases to verify the obtained results.Zakir UllahIkram UllahGul ZamanHamda KhanTaseer MuhammadNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Zakir Ullah
Ikram Ullah
Gul Zaman
Hamda Khan
Taseer Muhammad
Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
description Abstract Main concern of current research is to develop a novel mathematical model for stagnation-point flow of magnetohydrodynamic (MHD) Prandtl–Eyring fluid over a stretchable cylinder. The thermal radiation and convective boundary condition are also incorporated. The modeled partial differential equations (PDEs) with associative boundary conditions are deduced into coupled non-linear ordinary differential equations (ODEs) by utilizing proper similarity transformations. The deduced dimensionless set of ODEs are solved numerically via shooting method. Behavior of controlling parameters on the fluid velocity, temperature fields as well as skin friction and Nusselt number are highlighted through graphs. Outcome declared that dimensionless fluid temperature boosts up for both the radiation parameter and Biot number. It is also revealed that the magnitude of both heat transfer rate and skin friction enhance for higher estimation of curvature parameter. Furthermore, comparative analysis between present and previous reports are provided for some specific cases to verify the obtained results.
format article
author Zakir Ullah
Ikram Ullah
Gul Zaman
Hamda Khan
Taseer Muhammad
author_facet Zakir Ullah
Ikram Ullah
Gul Zaman
Hamda Khan
Taseer Muhammad
author_sort Zakir Ullah
title Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title_short Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title_full Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title_fullStr Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title_full_unstemmed Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title_sort mathematical modeling and thermodynamics of prandtl–eyring fluid with radiation effect: a numerical approach
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/4e46b92bd7de421c9fa1c12158b27540
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AT gulzaman mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach
AT hamdakhan mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach
AT taseermuhammad mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach
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