Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity
This paper presents the study of Jeffrey fluid flow by a rotating disk with variable thickness. Energy equation is constructed by using Cattaneo-Christov heat flux model with variable thermal conductivity. A system of equations governing the model is obtained by applying boundary layer approximation...
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doaj-846969de90e84d7fbda6b4d21304b8d92020-11-25T00:12:39ZengElsevierResults in Physics2211-37972018-03-018341351Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivityTasawar Hayat0Mehwish Javed1Maria Imtiaz2Ahmed 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, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University, 45320 Islamabad 44000, PakistanDepartment of Mathematics, University of Wah, Wah Cantt 47040, Pakistan; Corresponding author.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper presents the study of Jeffrey fluid flow by a rotating disk with variable thickness. Energy equation is constructed by using Cattaneo-Christov heat flux model with variable thermal conductivity. A system of equations governing the model is obtained by applying boundary layer approximation. Resulting nonlinear partial differential system is transformed to ordinary differential system. Homotopy concept leads to the convergent solutions development. Graphical analysis for velocities and temperature is made to examine the influence of different involved parameters. Thermal relaxation time parameter signifies that temperature for Fourier’s heat law is more than Cattaneo-Christov heat flux. A constitutional analysis is made for skin friction coefficient and heat transfer rate. Effects of Prandtl number on temperature distribution and heat transfer rate are scrutinized. It is observed that larger Reynolds number gives illustrious temperature distribution. Keywords: Cattaneo-Christov heat flux model, Jeffrey fluid, Variable thickness, Variable thermal conductivityhttp://www.sciencedirect.com/science/article/pii/S2211379717314249 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tasawar Hayat Mehwish Javed Maria Imtiaz Ahmed Alsaedi |
spellingShingle |
Tasawar Hayat Mehwish Javed Maria Imtiaz Ahmed Alsaedi Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity Results in Physics |
author_facet |
Tasawar Hayat Mehwish Javed Maria Imtiaz Ahmed Alsaedi |
author_sort |
Tasawar Hayat |
title |
Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity |
title_short |
Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity |
title_full |
Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity |
title_fullStr |
Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity |
title_full_unstemmed |
Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity |
title_sort |
effect of cattaneo-christov heat flux on jeffrey fluid flow with variable thermal conductivity |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2018-03-01 |
description |
This paper presents the study of Jeffrey fluid flow by a rotating disk with variable thickness. Energy equation is constructed by using Cattaneo-Christov heat flux model with variable thermal conductivity. A system of equations governing the model is obtained by applying boundary layer approximation. Resulting nonlinear partial differential system is transformed to ordinary differential system. Homotopy concept leads to the convergent solutions development. Graphical analysis for velocities and temperature is made to examine the influence of different involved parameters. Thermal relaxation time parameter signifies that temperature for Fourier’s heat law is more than Cattaneo-Christov heat flux. A constitutional analysis is made for skin friction coefficient and heat transfer rate. Effects of Prandtl number on temperature distribution and heat transfer rate are scrutinized. It is observed that larger Reynolds number gives illustrious temperature distribution. Keywords: Cattaneo-Christov heat flux model, Jeffrey fluid, Variable thickness, Variable thermal conductivity |
url |
http://www.sciencedirect.com/science/article/pii/S2211379717314249 |
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