Cargando…
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...
Autores principales: | , , , |
---|---|
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 |
_version_ | 1782431970718908416 |
---|---|
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. |
format | Online Article Text |
id | pubmed-4866797 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT hayattasawar acomparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT muhammadtaseer acomparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT alsaediahmed acomparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT mustafameraj acomparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT hayattasawar comparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT muhammadtaseer comparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT alsaediahmed comparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux AT mustafameraj comparativestudyforflowofviscoelasticfluidswithcattaneochristovheatflux |