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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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) |
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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 |
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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 |
work_keys_str_mv |
AT zakirullah mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach AT ikramullah mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach AT gulzaman mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach AT hamdakhan mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach AT taseermuhammad mathematicalmodelingandthermodynamicsofprandtleyringfluidwithradiationeffectanumericalapproach |
_version_ |
1718429224732196864 |