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

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...

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Autores principales: Ullah, Zakir, Ullah, Ikram, Zaman, Gul, Khan, Hamda, Muhammad, Taseer
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8589862/
https://www.ncbi.nlm.nih.gov/pubmed/34772981
http://dx.doi.org/10.1038/s41598-021-01463-4
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author Ullah, Zakir
Ullah, Ikram
Zaman, Gul
Khan, Hamda
Muhammad, Taseer
author_facet Ullah, Zakir
Ullah, Ikram
Zaman, Gul
Khan, Hamda
Muhammad, Taseer
author_sort Ullah, Zakir
collection PubMed
description 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.
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spelling pubmed-85898622021-11-16 Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach Ullah, Zakir Ullah, Ikram Zaman, Gul Khan, Hamda Muhammad, Taseer Sci Rep Article 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. Nature Publishing Group UK 2021-11-12 /pmc/articles/PMC8589862/ /pubmed/34772981 http://dx.doi.org/10.1038/s41598-021-01463-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Ullah, Zakir
Ullah, Ikram
Zaman, Gul
Khan, Hamda
Muhammad, Taseer
Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach
title 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_short 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
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8589862/
https://www.ncbi.nlm.nih.gov/pubmed/34772981
http://dx.doi.org/10.1038/s41598-021-01463-4
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