The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface

The main purpose of the present analysis is to report the numerical solution of the thermal radiations and magnetohydrodynamic (MHD) effect on the flow of micropolar nanofluid. Further, the effect of Brownian motion and thermophoresis on the flow field are also elucidated. The combined phenomenon of...

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Main Authors: Khuram Rafique, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan, El-Sayed M. Sherif
Format: Article
Language:English
Published: MDPI AG 2019-12-01
Series:Applied Sciences
Subjects:
mhd
Online Access:https://www.mdpi.com/2076-3417/10/1/280
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spelling doaj-2b0ef74f41c5461a90c7c4f34a0d94452020-11-24T22:07:24ZengMDPI AGApplied Sciences2076-34172019-12-0110128010.3390/app10010280app10010280The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined SurfaceKhuram Rafique0Muhammad Imran Anwar1Masnita Misiran2Ilyas Khan3El-Sayed M. Sherif4School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, MalaysiaSchool of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, MalaysiaSchool of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, Kedah, MalaysiaFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamCentre of Excellence for Research in Engineering Materials, King Saud University, P.O. Box-800, Riyadh 11421, Saudi ArabiaThe main purpose of the present analysis is to report the numerical solution of the thermal radiations and magnetohydrodynamic (MHD) effect on the flow of micropolar nanofluid. Further, the effect of Brownian motion and thermophoresis on the flow field are also elucidated. The combined phenomenon of heat and mass transfer is considered. Compatible similarities are implemented for the conversion of nonlinear ordinary differential equations from nonlinear partial differential equations. The numerical solution of the governing differential equations is obtained via the implicit Keller box technique. This is an efficient scheme based on the finite difference method. Findings demonstrate that the heat and mass exchange reduce with growth of the Brinkman parameter, whereas the wall shear stress enhances with improving the magnitude of the Brinkman factor. The temperature contour enhances when the radiation parameter reaches its peak, which is useful for industrial processes. The heat and mass flow rates decrease against higher magnitudes of inclination.https://www.mdpi.com/2076-3417/10/1/280heat and mass transfermicropoalr nanofluidbrinkman parameterthermal radiationsinclinationmhd
collection DOAJ
language English
format Article
sources DOAJ
author Khuram Rafique
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
El-Sayed M. Sherif
spellingShingle Khuram Rafique
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
El-Sayed M. Sherif
The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
Applied Sciences
heat and mass transfer
micropoalr nanofluid
brinkman parameter
thermal radiations
inclination
mhd
author_facet Khuram Rafique
Muhammad Imran Anwar
Masnita Misiran
Ilyas Khan
El-Sayed M. Sherif
author_sort Khuram Rafique
title The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
title_short The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
title_full The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
title_fullStr The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
title_full_unstemmed The Implicit Keller Box Scheme for Combined Heat and Mass Transfer of Brinkman-Type Micropolar Nanofluid with Brownian Motion and Thermophoretic Effect Over an Inclined Surface
title_sort implicit keller box scheme for combined heat and mass transfer of brinkman-type micropolar nanofluid with brownian motion and thermophoretic effect over an inclined surface
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2019-12-01
description The main purpose of the present analysis is to report the numerical solution of the thermal radiations and magnetohydrodynamic (MHD) effect on the flow of micropolar nanofluid. Further, the effect of Brownian motion and thermophoresis on the flow field are also elucidated. The combined phenomenon of heat and mass transfer is considered. Compatible similarities are implemented for the conversion of nonlinear ordinary differential equations from nonlinear partial differential equations. The numerical solution of the governing differential equations is obtained via the implicit Keller box technique. This is an efficient scheme based on the finite difference method. Findings demonstrate that the heat and mass exchange reduce with growth of the Brinkman parameter, whereas the wall shear stress enhances with improving the magnitude of the Brinkman factor. The temperature contour enhances when the radiation parameter reaches its peak, which is useful for industrial processes. The heat and mass flow rates decrease against higher magnitudes of inclination.
topic heat and mass transfer
micropoalr nanofluid
brinkman parameter
thermal radiations
inclination
mhd
url https://www.mdpi.com/2076-3417/10/1/280
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