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Technical Briefs

Numerical Study of Boundary Layers With Reverse Wedge Flows Over a Semi-Infinite Flat Plate

[+] Author and Article Information
R. Ahmad1

 COMSATS Institute of Information Technology, Abbottabad, 22060, Pakistanrashidahmad_swabi@yahoo.com

K. Naeem

 COMSATS Institute of Information Technology, Abbottabad, 22060, Pakistan

Waqar Ahmed Khan

Department of Engineering Sciences, PN Engineering College, National University of Sciences and Technology, PNS Jauhar, Karachi 75350, Pakistanwkhan1956@hotmail.com

1

Corresponding author.

J. Appl. Mech 77(2), 024504 (Dec 14, 2009) (4 pages) doi:10.1115/1.3173763 History: Received June 11, 2008; Accepted May 26, 2009; Published December 14, 2009; Online December 14, 2009

This paper presents the classical approximation scheme to investigate the velocity profile associated with the Falkner–Skan boundary-layer problem. Solution of the boundary-layer equation is obtained for a model problem in which the flow field contains a substantial region of strongly reversed flow. The problem investigates the flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient. Optimized results for the dimensionless velocity profiles of reverse wedge flow are presented graphically for different values of wedge angle parameter β taken from 0β2.5. Weighted residual method (WRM) is used for determining the solution of nonlinear boundary-layer problem. Finally, for β=0 the results of WRM are compared with the results of homotopy perturbation method.

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Figures

Grahic Jump Location
Figure 2

Values of f(η), f′(η), and f″(η) for different values of β

Grahic Jump Location
Figure 3

Comparison of results obtained by WRM and HPM for β=0

Grahic Jump Location
Figure 1

Velocity profile for the Falkner–Skan reverse wedge flow

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