Analytical Approach to a Slowly Deforming Channel Flow with Weak Permeability


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MOHYUD-DIN S. T. , YILDIRIM A. , SEZER S. A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.65, ss.1033-1038, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 65 Konu: 12
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1515/zna-2010-1202
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.1033-1038

Özet

In this paper, we develop the analytical solution of the Navier-Stokes equations for a semi-infinite rectangular channel with porous and uniformly expanding or contracting walls by employing the homotopy perturbation method (HPM). The series solution of the governing problem is obtained. Some examples have been included. The results so obtained are compared with the existing literature and a remarkable improvement leads to an excellent agreement with the numerical results.