Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material
The present analysis is related to the dynamics of polymeric liquids (Oldroyd-B model) with the presence of nanoparticles. The rheological system is considered under the application of nonlinear thermal radiations. Energy and concentration equations are presented when thermophoresis and Brownian mot...
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Format: | Article |
Language: | English |
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Elsevier
2018-03-01
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Series: | Results in Physics |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717322155 |
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author | M. Awais T. Hayat N. Muqaddass A. Ali Aqsa Saeed Ehsan Awan |
author_facet | M. Awais T. Hayat N. Muqaddass A. Ali Aqsa Saeed Ehsan Awan |
author_sort | M. Awais |
collection | DOAJ |
description | The present analysis is related to the dynamics of polymeric liquids (Oldroyd-B model) with the presence of nanoparticles. The rheological system is considered under the application of nonlinear thermal radiations. Energy and concentration equations are presented when thermophoresis and Brownian motion effects are present. Bidirectional form of stretching is considered to interpret the three-dimensional flow dynamics of polymeric liquid. Making use of the similarity transformations, problem is reduced into ordinary differential system which is approximated by using HAM. Influence of physical parameters including Deborah number, thermophoresis and Brownian motion on velocity, temperature and mass fraction expressions are plotted and analyzed. Numerical values for local Sherwood and Nusselt numbers are presented and discussed. Keywords: Nanoparticles, Polymeric liquid, Oldroyd-B model, Nonlinear thermal radiation |
first_indexed | 2024-04-12T22:12:40Z |
format | Article |
id | doaj.art-17bee053c41943e58582ec430b850029 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-04-12T22:12:40Z |
publishDate | 2018-03-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-17bee053c41943e58582ec430b8500292022-12-22T03:14:40ZengElsevierResults in Physics2211-37972018-03-01810381045Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric materialM. Awais0T. Hayat1N. Muqaddass2A. Ali3 Aqsa4Saeed Ehsan Awan5Department of Mathematics, COMSATS Institute of Information Technology, Attock 43600, Pakistan; Corresponding author.Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Attock 43600, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Attock 43600, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Electrical Engineering, COMSATS Institute of Information Technology, Attock 43600, PakistanThe present analysis is related to the dynamics of polymeric liquids (Oldroyd-B model) with the presence of nanoparticles. The rheological system is considered under the application of nonlinear thermal radiations. Energy and concentration equations are presented when thermophoresis and Brownian motion effects are present. Bidirectional form of stretching is considered to interpret the three-dimensional flow dynamics of polymeric liquid. Making use of the similarity transformations, problem is reduced into ordinary differential system which is approximated by using HAM. Influence of physical parameters including Deborah number, thermophoresis and Brownian motion on velocity, temperature and mass fraction expressions are plotted and analyzed. Numerical values for local Sherwood and Nusselt numbers are presented and discussed. Keywords: Nanoparticles, Polymeric liquid, Oldroyd-B model, Nonlinear thermal radiationhttp://www.sciencedirect.com/science/article/pii/S2211379717322155 |
spellingShingle | M. Awais T. Hayat N. Muqaddass A. Ali Aqsa Saeed Ehsan Awan Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material Results in Physics |
title | Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
title_full | Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
title_fullStr | Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
title_full_unstemmed | Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
title_short | Nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
title_sort | nanoparticles and nonlinear thermal radiation properties in the rheology of polymeric material |
url | http://www.sciencedirect.com/science/article/pii/S2211379717322155 |
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