Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method

Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method

In this article, an analytical solution of the boundary layer fluid flow and heat transfer of a quiescent viscous fluid over a non-linearly stretching surface is presented. The thermal radiation effects are included in the energy governing equation. Surface velocity and temperature conditions are as...

Full description

Bibliographic Details
Main Authors: M.A. Kazemi, S.S. Jafari, S.M. Musavi, M. Nejati
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718302705
id doaj-258fc4ce4dbe4154b02b732cf5326f5a
record_format Article
spelling doaj-258fc4ce4dbe4154b02b732cf5326f5a2020-11-24T21:52:54ZengElsevierResults in Physics2211-37972018-09-0110164172Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis MethodM.A. Kazemi0S.S. Jafari1S.M. Musavi2M. Nejati3Technical and Vocational University, Shahid Mofateh of Hamedan, Iran; Corresponding author.Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, IranMechanical Engineering Faculty, Tehran University, Tehran, IranYoung Researchers & Elite Club, Arak Branch, Islamic Azad University, Arak, IranIn this article, an analytical solution of the boundary layer fluid flow and heat transfer of a quiescent viscous fluid over a non-linearly stretching surface is presented. The thermal radiation effects are included in the energy governing equation. Surface velocity and temperature conditions are assumed to be of the power-law form with an exponent of 1/3 for velocity and arbitrary exponent m for surface temperature or heat flux conditions. The system of nonlinear differential equations is solved by Homotopy Analysis Method (HAM) for two cases of Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF). The results of this method appear in the form of series expansions, the convergence of which is analyzed carefully. Graphical results are finally presented in order to investigate the influence of Prandtl number (Pr) and thermal radiation on heat transfer phenomena. Keywords: Nonlinear stretching surface, Boundary layer, Thermal radiation, Similarity solution, Homotopy Analysis Method (HAM)http://www.sciencedirect.com/science/article/pii/S2211379718302705
collection DOAJ
language English
format Article
sources DOAJ
author M.A. Kazemi
S.S. Jafari
S.M. Musavi
M. Nejati
spellingShingle M.A. Kazemi
S.S. Jafari
S.M. Musavi
M. Nejati
Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
Results in Physics
author_facet M.A. Kazemi
S.S. Jafari
S.M. Musavi
M. Nejati
author_sort M.A. Kazemi
title Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
title_short Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
title_full Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
title_fullStr Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
title_full_unstemmed Analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using Homotopy Analysis Method
title_sort analytical solution of convective heat transfer of a quiescent fluid over a nonlinearly stretching surface using homotopy analysis method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-09-01
description In this article, an analytical solution of the boundary layer fluid flow and heat transfer of a quiescent viscous fluid over a non-linearly stretching surface is presented. The thermal radiation effects are included in the energy governing equation. Surface velocity and temperature conditions are assumed to be of the power-law form with an exponent of 1/3 for velocity and arbitrary exponent m for surface temperature or heat flux conditions. The system of nonlinear differential equations is solved by Homotopy Analysis Method (HAM) for two cases of Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF). The results of this method appear in the form of series expansions, the convergence of which is analyzed carefully. Graphical results are finally presented in order to investigate the influence of Prandtl number (Pr) and thermal radiation on heat transfer phenomena. Keywords: Nonlinear stretching surface, Boundary layer, Thermal radiation, Similarity solution, Homotopy Analysis Method (HAM)
url http://www.sciencedirect.com/science/article/pii/S2211379718302705
work_keys_str_mv AT makazemi analyticalsolutionofconvectiveheattransferofaquiescentfluidoveranonlinearlystretchingsurfaceusinghomotopyanalysismethod
AT ssjafari analyticalsolutionofconvectiveheattransferofaquiescentfluidoveranonlinearlystretchingsurfaceusinghomotopyanalysismethod
AT smmusavi analyticalsolutionofconvectiveheattransferofaquiescentfluidoveranonlinearlystretchingsurfaceusinghomotopyanalysismethod
AT mnejati analyticalsolutionofconvectiveheattransferofaquiescentfluidoveranonlinearlystretchingsurfaceusinghomotopyanalysismethod
_version_ 1725874164433158144

Similar Items