## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 780415, 19 pages.

### Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters

#### Abstract

In this study, 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 $\hslash$-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.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 780415, 19 pages.

Dates
First available in Project Euclid: 3 January 2013

https://projecteuclid.org/euclid.jam/1357180208

Digital Object Identifier
doi:10.1155/2012/780415

Mathematical Reviews number (MathSciNet)
MR2984221

Zentralblatt MATH identifier
1264.76045

#### Citation

Rashidi, M. M.; Momoniat, E.; Rostami, B. Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters. J. Appl. Math. 2012, Special Issue (2012), Article ID 780415, 19 pages. doi:10.1155/2012/780415. https://projecteuclid.org/euclid.jam/1357180208

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