Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption

Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption

Here modeling and computations are presented to introduce the novel concept of Darcy-Forchheimer three-dimensional flow of water-based carbon nanotubes with nonlinear thermal radiation and heat generation/absorption. Bidirectional stretching surface induces the flow. Darcy’s law is commonly replace...

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Main Authors: T. Hayat, Siraj Ullah, M. Ijaz Khan, A. Alsaedi, Q.M. Zaigham Zia
Format: Article
Language:English
Published: Elsevier 2018-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S221137971732291X
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spelling doaj-cf1e8641727c4493a9e8e19c6f8a62302020-11-25T00:52:42ZengElsevierResults in Physics2211-37972018-03-018473480Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorptionT. Hayat0Siraj Ullah1M. Ijaz Khan2A. Alsaedi3Q.M. Zaigham Zia4Department of Mathematics, Quaid-I-Azam University 45320, 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, 44000, Pakistan; Corresponding author.Department of Mathematics, Quaid-I-Azam University 45320, 44000, PakistanNonlinear 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, COMSATS Institute of Information Technology Islamabad, Campus Park Road, Tarlai Kalan, Islamabad, PakistanHere modeling and computations are presented to introduce the novel concept of Darcy-Forchheimer three-dimensional flow of water-based carbon nanotubes with nonlinear thermal radiation and heat generation/absorption. Bidirectional stretching surface induces the flow. Darcy’s law is commonly replace by Forchheimer relation. Xue model is implemented for nonliquid transport mechanism. Nonlinear formulation based upon conservation laws of mass, momentum and energy is first modeled and then solved by optimal homotopy analysis technique. Optimal estimations of auxiliary variables are obtained. Importance of influential variables on the velocity and thermal fields is interpreted graphically. Moreover velocity and temperature gradients are discussed and analyzed. Physical interpretation of influential variables is examined. Keywords: Porous medium, Heat generation/absorption, SWCNTs and MWCNTs, Nonlinear radiationhttp://www.sciencedirect.com/science/article/pii/S221137971732291X
collection DOAJ
language English
format Article
sources DOAJ
author T. Hayat
Siraj Ullah
M. Ijaz Khan
A. Alsaedi
Q.M. Zaigham Zia
spellingShingle T. Hayat
Siraj Ullah
M. Ijaz Khan
A. Alsaedi
Q.M. Zaigham Zia
Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
Results in Physics
author_facet T. Hayat
Siraj Ullah
M. Ijaz Khan
A. Alsaedi
Q.M. Zaigham Zia
author_sort T. Hayat
title Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
title_short Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
title_full Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
title_fullStr Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
title_full_unstemmed Non-Darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
title_sort non-darcy flow of water-based carbon nanotubes with nonlinear radiation and heat generation/absorption
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-03-01
description Here modeling and computations are presented to introduce the novel concept of Darcy-Forchheimer three-dimensional flow of water-based carbon nanotubes with nonlinear thermal radiation and heat generation/absorption. Bidirectional stretching surface induces the flow. Darcy’s law is commonly replace by Forchheimer relation. Xue model is implemented for nonliquid transport mechanism. Nonlinear formulation based upon conservation laws of mass, momentum and energy is first modeled and then solved by optimal homotopy analysis technique. Optimal estimations of auxiliary variables are obtained. Importance of influential variables on the velocity and thermal fields is interpreted graphically. Moreover velocity and temperature gradients are discussed and analyzed. Physical interpretation of influential variables is examined. Keywords: Porous medium, Heat generation/absorption, SWCNTs and MWCNTs, Nonlinear radiation
url http://www.sciencedirect.com/science/article/pii/S221137971732291X
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AT mijazkhan nondarcyflowofwaterbasedcarbonnanotubeswithnonlinearradiationandheatgenerationabsorption
AT aalsaedi nondarcyflowofwaterbasedcarbonnanotubeswithnonlinearradiationandheatgenerationabsorption
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