Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters
Joint Authors
Rashidi, Mohammad Mehdi
Momoniat, Ebrahim
Rostami, Behnam
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-15
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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 ℏ-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.
American Psychological Association (APA)
Rashidi, Mohammad Mehdi& Momoniat, Ebrahim& Rostami, Behnam. 2012. Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993672
Modern Language Association (MLA)
Rashidi, Mohammad Mehdi…[et al.]. Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993672
American Medical Association (AMA)
Rashidi, Mohammad Mehdi& Momoniat, Ebrahim& Rostami, Behnam. Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993672