Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters
type: Item
instance of: scholarly article
title: Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters
zbMATH Open document ID: 1264.76045
DOI: 10.1155/2012/780415
author: E. Momoniat
author: M. M. Rashidi
author: Behnam Rostami
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: A steady, incompressible, and laminar-free convective flow of a two-dimensional electrically conducting viscoelastic fluid over a moving stretching surface through a porous medium is considered. The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. The nonlinear ordinary differential equations for the momentum and energy equations are obtained and solved analytically by using homotopy analysis method (HAM) with two auxiliary parameters for two classes of visco-elastic fluid (Walters' liquid B and second-grade fluid). It is clear that by the use of second auxiliary parameter, the straight line region in \(\hbar\)-curve increases and the convergence accelerates. This research is performed by considering two different boundary conditions: (a) prescribed surface temperature (PST) and (b) prescribed heat flux (PHF). The effect of involved parameters on velocity and temperature is investigated.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6169976
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/780415
OpenAlex ID: W2119330735
Wikidata QID: Q58907332
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description: scientific article; zbMATH DE number 6169976