In this paper, the nonsimilarity boundary-layer flows of second-order fluid over a flat sheet with arbitrary stretching velocity are studied. The boundary-layer equations describing the steady laminar flow of an incompressible viscoelastic fluid past a semi-infinite stretching flat sheet are transformed into a partial differential equation with variable coefficients. An analytic technique for highly nonlinear problems, namely, the homotopy analysis method, is applied to give convergent analytical approximations, which agree well with the numerical results given by the Keller box method. Furthermore, the effects of physical parameters on some important physical quantities, such as the local skin-friction coefficient and the boundary-layer thickness, are investigated in detail. Mathematically, this analytic approach is rather general in principle and can be applied to solve different types of nonlinear partial differential equations with variable coefficients in physics.
Skip Nav Destination
e-mail: xcyou@sjtu.edu.cn
e-mail: hangxu@sjtu.edu.cn
e-mail: sjliao@sjtu.edu.cn
Article navigation
March 2010
Research Papers
On the Nonsimilarity Boundary-Layer Flows of Second-Order Fluid Over a Stretching Sheet
Xiangcheng You,
Xiangcheng You
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
e-mail: xcyou@sjtu.edu.cn
Shanghai Jiao Tong University
, Shanghai 200240, China
Search for other works by this author on:
Hang Xu,
Hang Xu
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
e-mail: hangxu@sjtu.edu.cn
Shanghai Jiao Tong University
, Shanghai 200240, China
Search for other works by this author on:
Shijun Liao
Shijun Liao
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
e-mail: sjliao@sjtu.edu.cn
Shanghai Jiao Tong University
, Shanghai 200240, China
Search for other works by this author on:
Xiangcheng You
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
Shanghai Jiao Tong University
, Shanghai 200240, Chinae-mail: xcyou@sjtu.edu.cn
Hang Xu
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
Shanghai Jiao Tong University
, Shanghai 200240, Chinae-mail: hangxu@sjtu.edu.cn
Shijun Liao
State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
Shanghai Jiao Tong University
, Shanghai 200240, Chinae-mail: sjliao@sjtu.edu.cn
J. Appl. Mech. Mar 2010, 77(2): 021002 (8 pages)
Published Online: December 8, 2009
Article history
Received:
June 27, 2008
Revised:
April 15, 2009
Online:
December 8, 2009
Published:
December 8, 2009
Citation
You, X., Xu, H., and Liao, S. (December 8, 2009). "On the Nonsimilarity Boundary-Layer Flows of Second-Order Fluid Over a Stretching Sheet." ASME. J. Appl. Mech. March 2010; 77(2): 021002. https://doi.org/10.1115/1.3173764
Download citation file:
Get Email Alerts
Cited By
Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
J. Appl. Mech (December 2024)
Related Articles
Buoyancy Effects on Thermal Boundary Layer Over a Vertical Plate With a Convective Surface Boundary Condition
J. Fluids Eng (April,2010)
Unsteady Mixed Convection From a Moving Vertical Slender Cylinder
J. Heat Transfer (April,2006)
Flow and Heat Transfer Over a Continuously Moving Flat Plate in a Porous Medium
J. Heat Transfer (May,2011)
Related Chapters
Introduction
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Image Matching Based on Partial Differential Equations Methods
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Extended Surfaces
Thermal Management of Microelectronic Equipment, Second Edition