Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt

This paper aims to study the influence of heat transfer on thin film flow of a reactive third order fluid with variable viscosity and slip boundary condition. The problem is formulated in the form of coupled nonlinear equations governing the flow together with appropriate boundary conditions. Approx...

Full description

Saved in:
Bibliographic Details
Main Authors: T. Gul, S. Islam, R. A. Shah, I. Khan, L. C. C. Dennis
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/386759
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849686401593901056
author T. Gul
S. Islam
R. A. Shah
I. Khan
L. C. C. Dennis
author_facet T. Gul
S. Islam
R. A. Shah
I. Khan
L. C. C. Dennis
author_sort T. Gul
collection DOAJ
description This paper aims to study the influence of heat transfer on thin film flow of a reactive third order fluid with variable viscosity and slip boundary condition. The problem is formulated in the form of coupled nonlinear equations governing the flow together with appropriate boundary conditions. Approximate analytical solutions for velocity and temperature are obtained using Adomian Decomposition Method (ADM). Such solutions are also obtained by using Optimal Homotopy Asymptotic Method (OHAM) and are compared with ADM solutions. Both of these solutions are found identical as shown in graphs and tables. The graphical results for embedded flow parameters are also shown.
format Article
id doaj-art-c61b3b2ca9ed40f1b164306c92dba53a
institution DOAJ
issn 1085-3375
1687-0409
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-c61b3b2ca9ed40f1b164306c92dba53a2025-08-20T03:22:43ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/386759386759Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical BeltT. Gul0S. Islam1R. A. Shah2I. Khan3L. C. C. Dennis4Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, UET Peshawar, Khyber Pakhtunkhwa, PakistanCollege of Engineering, Majmaah University, Saudi ArabiaDepartment of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, 31750 Perak, MalaysiaThis paper aims to study the influence of heat transfer on thin film flow of a reactive third order fluid with variable viscosity and slip boundary condition. The problem is formulated in the form of coupled nonlinear equations governing the flow together with appropriate boundary conditions. Approximate analytical solutions for velocity and temperature are obtained using Adomian Decomposition Method (ADM). Such solutions are also obtained by using Optimal Homotopy Asymptotic Method (OHAM) and are compared with ADM solutions. Both of these solutions are found identical as shown in graphs and tables. The graphical results for embedded flow parameters are also shown.http://dx.doi.org/10.1155/2015/386759
spellingShingle T. Gul
S. Islam
R. A. Shah
I. Khan
L. C. C. Dennis
Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
Abstract and Applied Analysis
title Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
title_full Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
title_fullStr Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
title_full_unstemmed Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
title_short Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt
title_sort temperature dependent viscosity of a third order thin film fluid layer on a lubricating vertical belt
url http://dx.doi.org/10.1155/2015/386759
work_keys_str_mv AT tgul temperaturedependentviscosityofathirdorderthinfilmfluidlayeronalubricatingverticalbelt
AT sislam temperaturedependentviscosityofathirdorderthinfilmfluidlayeronalubricatingverticalbelt
AT rashah temperaturedependentviscosityofathirdorderthinfilmfluidlayeronalubricatingverticalbelt
AT ikhan temperaturedependentviscosityofathirdorderthinfilmfluidlayeronalubricatingverticalbelt
AT lccdennis temperaturedependentviscosityofathirdorderthinfilmfluidlayeronalubricatingverticalbelt