Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method

Abstract The numerical analysis of MHD boundary layer non-Newtonian micropolar fluid due to an exponentially curved stretching sheet is developed in this study. In the energy equation effects of viscous dissipation are included. For the mathematical description of the governing equations curvilinear...

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Autores principales: Qiu-Hong Shi, Tayyaba Shabbir, M. Mushtaq, M. Ijaz Khan, Zahir Shah, Poom Kumam
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/8e5c7c61eabb45d89a7a3f888ba1cc88
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spelling oai:doaj.org-article:8e5c7c61eabb45d89a7a3f888ba1cc882021-12-02T18:50:47ZModelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method10.1038/s41598-021-95859-x2045-2322https://doaj.org/article/8e5c7c61eabb45d89a7a3f888ba1cc882021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95859-xhttps://doaj.org/toc/2045-2322Abstract The numerical analysis of MHD boundary layer non-Newtonian micropolar fluid due to an exponentially curved stretching sheet is developed in this study. In the energy equation effects of viscous dissipation are included. For the mathematical description of the governing equations curvilinear coordinates are used. By utilizing exponential similarity variables, the modelled partial differential equations (PDEs) are reduced into ordinary ones. The resultant non-linear ODEs are numerically solved with two methods shooting and Keller box method. The study reveals that the governing parameters, namely, radius of curvature, material parameter, magnetic parameter, Prandtl number and Eckert number have major effects on the fluid velocity, micro-rotation velocity, surface friction, couple stress and heat transfer rate. The results indicate that the magnetic field diminishes the fluid velocity inside the hydrodynamics boundary layer whereas it enhances the temperature inside the thermal boundary layer. Microrotation profile decreases near the surface, as the magnetic parameter and radius of curvature increases but far away behavior is opposite. The material parameter enhances the velocity and microrotation profile whereas, opposite behaviors is noticed for the temperature distribution. Obtained outcomes are also compared with the existing literature and the comparison shows a good agreement with existing studies.Qiu-Hong ShiTayyaba ShabbirM. MushtaqM. Ijaz KhanZahir ShahPoom KumamNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Qiu-Hong Shi
Tayyaba Shabbir
M. Mushtaq
M. Ijaz Khan
Zahir Shah
Poom Kumam
Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
description Abstract The numerical analysis of MHD boundary layer non-Newtonian micropolar fluid due to an exponentially curved stretching sheet is developed in this study. In the energy equation effects of viscous dissipation are included. For the mathematical description of the governing equations curvilinear coordinates are used. By utilizing exponential similarity variables, the modelled partial differential equations (PDEs) are reduced into ordinary ones. The resultant non-linear ODEs are numerically solved with two methods shooting and Keller box method. The study reveals that the governing parameters, namely, radius of curvature, material parameter, magnetic parameter, Prandtl number and Eckert number have major effects on the fluid velocity, micro-rotation velocity, surface friction, couple stress and heat transfer rate. The results indicate that the magnetic field diminishes the fluid velocity inside the hydrodynamics boundary layer whereas it enhances the temperature inside the thermal boundary layer. Microrotation profile decreases near the surface, as the magnetic parameter and radius of curvature increases but far away behavior is opposite. The material parameter enhances the velocity and microrotation profile whereas, opposite behaviors is noticed for the temperature distribution. Obtained outcomes are also compared with the existing literature and the comparison shows a good agreement with existing studies.
format article
author Qiu-Hong Shi
Tayyaba Shabbir
M. Mushtaq
M. Ijaz Khan
Zahir Shah
Poom Kumam
author_facet Qiu-Hong Shi
Tayyaba Shabbir
M. Mushtaq
M. Ijaz Khan
Zahir Shah
Poom Kumam
author_sort Qiu-Hong Shi
title Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
title_short Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
title_full Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
title_fullStr Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
title_full_unstemmed Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method
title_sort modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a keller box method
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/8e5c7c61eabb45d89a7a3f888ba1cc88
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