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...

Full description

Bibliographic Details
Main Authors: Tasawar Hayat, Mehwish Javed, Maria Imtiaz, Ahmed Alsaedi
Format: Article
Language:English
Published: Elsevier 2018-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717314249
id doaj-846969de90e84d7fbda6b4d21304b8d9
record_format Article
spelling 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
work_keys_str_mv AT tasawarhayat effectofcattaneochristovheatfluxonjeffreyfluidflowwithvariablethermalconductivity
AT mehwishjaved effectofcattaneochristovheatfluxonjeffreyfluidflowwithvariablethermalconductivity
AT mariaimtiaz effectofcattaneochristovheatfluxonjeffreyfluidflowwithvariablethermalconductivity
AT ahmedalsaedi effectofcattaneochristovheatfluxonjeffreyfluidflowwithvariablethermalconductivity
_version_ 1725398403186163712