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A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux

This article examines the impact of Cattaneo-Christov heat flux in flows of viscoelastic fluids. Flow is generated by a linear stretching sheet. Influence of thermal relaxation time in the considered heat flux is seen. Mathematical formulation is presented for the boundary layer approach. Suitable t...

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Detalles Bibliográficos
Autores principales: Hayat, Tasawar, Muhammad, Taseer, Alsaedi, Ahmed, Mustafa, Meraj
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4866797/
https://www.ncbi.nlm.nih.gov/pubmed/27176779
http://dx.doi.org/10.1371/journal.pone.0155185
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author Hayat, Tasawar
Muhammad, Taseer
Alsaedi, Ahmed
Mustafa, Meraj
author_facet Hayat, Tasawar
Muhammad, Taseer
Alsaedi, Ahmed
Mustafa, Meraj
author_sort Hayat, Tasawar
collection PubMed
description This article examines the impact of Cattaneo-Christov heat flux in flows of viscoelastic fluids. Flow is generated by a linear stretching sheet. Influence of thermal relaxation time in the considered heat flux is seen. Mathematical formulation is presented for the boundary layer approach. Suitable transformations lead to a nonlinear differential system. Convergent series solutions of velocity and temperature are achieved. Impacts of various influential parameters on the velocity and temperature are sketched and discussed. Numerical computations are also performed for the skin friction coefficient and heat transfer rate. Our findings reveal that the temperature profile has an inverse relationship with the thermal relaxation parameter and the Prandtl number. Further the temperature profile and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to the classical Fourier’s law of heat conduction.
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spelling pubmed-48667972016-05-18 A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux Hayat, Tasawar Muhammad, Taseer Alsaedi, Ahmed Mustafa, Meraj PLoS One Research Article This article examines the impact of Cattaneo-Christov heat flux in flows of viscoelastic fluids. Flow is generated by a linear stretching sheet. Influence of thermal relaxation time in the considered heat flux is seen. Mathematical formulation is presented for the boundary layer approach. Suitable transformations lead to a nonlinear differential system. Convergent series solutions of velocity and temperature are achieved. Impacts of various influential parameters on the velocity and temperature are sketched and discussed. Numerical computations are also performed for the skin friction coefficient and heat transfer rate. Our findings reveal that the temperature profile has an inverse relationship with the thermal relaxation parameter and the Prandtl number. Further the temperature profile and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to the classical Fourier’s law of heat conduction. Public Library of Science 2016-05-13 /pmc/articles/PMC4866797/ /pubmed/27176779 http://dx.doi.org/10.1371/journal.pone.0155185 Text en © 2016 Hayat et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Hayat, Tasawar
Muhammad, Taseer
Alsaedi, Ahmed
Mustafa, Meraj
A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title_full A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title_fullStr A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title_full_unstemmed A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title_short A Comparative Study for Flow of Viscoelastic Fluids with Cattaneo-Christov Heat Flux
title_sort comparative study for flow of viscoelastic fluids with cattaneo-christov heat flux
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4866797/
https://www.ncbi.nlm.nih.gov/pubmed/27176779
http://dx.doi.org/10.1371/journal.pone.0155185
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