A Series Solution of the Long Porous Slider

Abstract

A series solution of the long porous slider problem where fluid is injected through the porous bottom is obtained using the homotopy perturbation method (HPM). Similarity solutions of coupled nonlinear ordinary differential equations resulting from the momentum equation are obtained. Numerical results are obtained and discussed for different values of Reynolds number of the velocity field. The numerical results demonstrate the validity and applicability of the method.

KEY WORDS:

• Porous Slider
• Homotopy Perturbation Method
• Series Solution
• Reynolds Number

ACKNOWLEDGEMENT

The authors are grateful to the referees, whose comments and suggestions improved the presentation and value of the article. This work was supported by National Natural Science Foundation of China (Grant No. 10871178) and the Foundation of Science and Technology Department of Zhejiang Province (Grant No. 2008C01048-3).

Review led by Ted Keith