Cover Image

The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface

This paper explores Liquid Film Flow of Williamson Fluid over an Unstable Stretching Surface in a Porous Space . The Brownian motion and Thermophoresis effect of the liquid film flow on a stretching sheet have been observed. This research include, to focus on the variation in the thickness of the li...

Full description

Saved in:
Bibliographic Details
Main Authors: Ali, L., Islam, S., Gul, T., Khan, I., Dennis, L.C.C., Khan, W., Khan, A.
Format: Article
Published: MDPI AG 2017
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018500559&doi=10.3390%2fapp7040404&partnerID=40&md5=cbfaeb1183aaad4404033d0bad4f32a4
http://eprints.utp.edu.my/19531/
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utp.eprints.19531
record_format eprints
spelling my.utp.eprints.195312018-04-20T06:49:48Z The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface Ali, L. Islam, S. Gul, T. Khan, I. Dennis, L.C.C. Khan, W. Khan, A. This paper explores Liquid Film Flow of Williamson Fluid over an Unstable Stretching Surface in a Porous Space . The Brownian motion and Thermophoresis effect of the liquid film flow on a stretching sheet have been observed. This research include, to focus on the variation in the thickness of the liquid film in a porous space. The self-similarity variables have been applied to convert the modelled equations into a set of non-linear coupled differential equations. These non-linear differential equations have been treated through an analytical technique known as Homotopy Analysis Method (HAM). The effect of physical non-dimensional parameters like, Eckert Number, Prandtl Number, Porosity Parameter, Brownian Motion Parameter, Unsteadiness Parameter, Schmidt Number, Thermophoresis Parameter, Dimensionless Film Thickness, and Williamson Fluid Constant on the liquid film size are investigated and conferred in this endeavor. The obtained results through HAM are authenticated, from its comparison with numerical (ND-Solve Method). The graphical comparison of these two methods is elaborated. The numerical comparison with absolute errors are also been shown in the tables. The physical and numerical results using h curves for the residuals of the velocity, temperature and concentration profiles are obtained. © 2017 by the authors. MDPI AG 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018500559&doi=10.3390%2fapp7040404&partnerID=40&md5=cbfaeb1183aaad4404033d0bad4f32a4 Ali, L. and Islam, S. and Gul, T. and Khan, I. and Dennis, L.C.C. and Khan, W. and Khan, A. (2017) The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface. Applied Sciences (Switzerland), 7 (4). http://eprints.utp.edu.my/19531/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
description This paper explores Liquid Film Flow of Williamson Fluid over an Unstable Stretching Surface in a Porous Space . The Brownian motion and Thermophoresis effect of the liquid film flow on a stretching sheet have been observed. This research include, to focus on the variation in the thickness of the liquid film in a porous space. The self-similarity variables have been applied to convert the modelled equations into a set of non-linear coupled differential equations. These non-linear differential equations have been treated through an analytical technique known as Homotopy Analysis Method (HAM). The effect of physical non-dimensional parameters like, Eckert Number, Prandtl Number, Porosity Parameter, Brownian Motion Parameter, Unsteadiness Parameter, Schmidt Number, Thermophoresis Parameter, Dimensionless Film Thickness, and Williamson Fluid Constant on the liquid film size are investigated and conferred in this endeavor. The obtained results through HAM are authenticated, from its comparison with numerical (ND-Solve Method). The graphical comparison of these two methods is elaborated. The numerical comparison with absolute errors are also been shown in the tables. The physical and numerical results using h curves for the residuals of the velocity, temperature and concentration profiles are obtained. © 2017 by the authors.
format Article
author Ali, L.
Islam, S.
Gul, T.
Khan, I.
Dennis, L.C.C.
Khan, W.
Khan, A.
spellingShingle Ali, L.
Islam, S.
Gul, T.
Khan, I.
Dennis, L.C.C.
Khan, W.
Khan, A.
The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
author_facet Ali, L.
Islam, S.
Gul, T.
Khan, I.
Dennis, L.C.C.
Khan, W.
Khan, A.
author_sort Ali, L.
title The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
title_short The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
title_full The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
title_fullStr The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
title_full_unstemmed The brownian and thermophoretic analysis of the non-Newtonian Williamson fluid flow of thin film in a Porous Space over an unstable stretching surface
title_sort brownian and thermophoretic analysis of the non-newtonian williamson fluid flow of thin film in a porous space over an unstable stretching surface
publisher MDPI AG
publishDate 2017
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018500559&doi=10.3390%2fapp7040404&partnerID=40&md5=cbfaeb1183aaad4404033d0bad4f32a4
http://eprints.utp.edu.my/19531/
_version_ 1738656083341213696
score 13.211869

Similar Items