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Z. Naturforsch. 66a, 507 – 511
(2011)
doi:10.5560/ZNA.2011-0008
Three-Dimensional Flow Arising in the Long Porous Slider: An Analytic Solution
1 Department of Mathematics, Zhejiang University, Hangzhou 310027, China
2 Modern Textile Institute, Donghua University, 1882 Yanan Xilu Road, Shanghai 200051, China
3 Ege University, Science Faculty, Department of Mathematics, 35100 Bornova Izmir, Turkey
4 HITEC University Taxila Cantt, Pakistan
Received January 4, 2011 / revised April 13, 2011
Reprint requests to: Y. K.; E-mail:
yasirmath@yahoo.com
In this work, the long porous slider problem where the fluid is injected through the porous bottom is studied. The similarity transformations reduce the equation of motion to a set of nonlinear ordinary differential equations which are solved using the Adomian decomposition method (ADM). The influence of the Reynolds number on the dimensionless velocity field has been discussed graphically. Finally, the validity of results is verified by comparing with the numerical method and existing numerical results. A very good agreement was found between approximate and numerical solution, which proves that ADM is very efficient and accurate.
Key words: Adomian Decomposition Method (ADM); Lubrication; Porous Slider; Reynolds Number.