Non-Darcy Forchheimer flow of ferromagnetic second grade fluid

This article discusses impacts of thermal radiation, viscous dissipation and magnetic dipole in flow of second grade fluid saturating porous medium. Porous medium is characterized by nonlinear Darcy-Forchheimer relation. Relevant nonlinear ordinary differential systems after using appropriate transf...

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Main Authors: T. Hayat, Salman Ahmad, M. Ijaz Khan, A. Alsaedi
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717313943
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author T. Hayat
Salman Ahmad
M. Ijaz Khan
A. Alsaedi
author_facet T. Hayat
Salman Ahmad
M. Ijaz Khan
A. Alsaedi
author_sort T. Hayat
collection DOAJ
description This article discusses impacts of thermal radiation, viscous dissipation and magnetic dipole in flow of second grade fluid saturating porous medium. Porous medium is characterized by nonlinear Darcy-Forchheimer relation. Relevant nonlinear ordinary differential systems after using appropriate transformations are solved numerically. Shooting technique is implemented for the numerical treatment. Temperature, velocity, skin fraction and Nusselt number are analyzed. Keywords: Second grade fluid, Thermal radiation, Magnetic dipole, Viscous dissipation, Non-Darcy Forchheimer medium
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spelling doaj.art-db3d58ddafb943efb938bbee5f13cf752022-12-22T00:02:45ZengElsevierResults in Physics2211-37972017-01-01734193424Non-Darcy Forchheimer flow of ferromagnetic second grade fluidT. Hayat0Salman Ahmad1M. Ijaz Khan2A. Alsaedi3Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi ArabiaThis article discusses impacts of thermal radiation, viscous dissipation and magnetic dipole in flow of second grade fluid saturating porous medium. Porous medium is characterized by nonlinear Darcy-Forchheimer relation. Relevant nonlinear ordinary differential systems after using appropriate transformations are solved numerically. Shooting technique is implemented for the numerical treatment. Temperature, velocity, skin fraction and Nusselt number are analyzed. Keywords: Second grade fluid, Thermal radiation, Magnetic dipole, Viscous dissipation, Non-Darcy Forchheimer mediumhttp://www.sciencedirect.com/science/article/pii/S2211379717313943
spellingShingle T. Hayat
Salman Ahmad
M. Ijaz Khan
A. Alsaedi
Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
Results in Physics
title Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
title_full Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
title_fullStr Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
title_full_unstemmed Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
title_short Non-Darcy Forchheimer flow of ferromagnetic second grade fluid
title_sort non darcy forchheimer flow of ferromagnetic second grade fluid
url http://www.sciencedirect.com/science/article/pii/S2211379717313943
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