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Transport Phenomena in Thermal Engineering. Volume 2

ISBN:
1-56700-015-0 (Print)

ANALYTIC SOLUTION OF CREEPING FLOW IN A CLOSED SECTOR CAVITY WITH MOVING WALL

Osamah Al-Hawaj
Department of Mechanical and Industrial Engineering, Kuwait University, P.O. Box 5969, Safat, 13060 Kuwait

Abstract

The two-dimensional flow of slow motion in a closed sector cavity with moving wall is solved analytically. Using appropriate transformation, the governing biharmonic equation is reduced to a forth order ordinary differential equation with variable coefficients which can be solved by well known techniques. The results of flow pattern show a primary vortex, and boundary layer behaviour along one wall and a sluggish stagnant region in the corner facing the moving wall.