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
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
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
work_keys_str_mv	AT qiuhongshi modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod AT tayyabashabbir modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod AT mmushtaq modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod AT mijazkhan modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod AT zahirshah modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod AT poomkumam modellingandnumericalcomputationforflowofmicropolarfluidtowardsanexponentialcurvedsurfaceakellerboxmethod
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Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method

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