The effects of the side walls on the flow of a second grade fluid in ducts with suction and injection


Erdogan M. E. , İmrak C. E.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol.42, no.5, pp.765-772, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2007
  • Doi Number: 10.1016/j.ijnonlinmec.2007.03.001
  • Journal Name: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.765-772
  • Keywords: second grade fluid, non-Newtonian fluids, exact solution, effects of the side walls, flow with suction and injection, VISCOUS-FLUID, ORDER FLUIDS, AXIAL-FLOW, BOUNDARY
  • Istanbul Technical University Affiliated: Yes

Abstract

The effects of the side walls on the flow in ducts with suction and injection are examined. Three illustrative examples are given. The first example considers the effect of the side walls on the flow over a porous plate. The second example considers the flow between two parallel porous plates and the third example is devoted to the investigation of the flow in a rectangular duct with two porous walls. Exact solution of the governing equation using the no-slip boundary condition and an additional condition are obtained. The expression of the velocity, the volume flux and the vorticity are given. It is found that for large values of the cross-Reynolds number near the suction region the flow for a Newtonian fluid does not satisfy the boundary condition, but it does not behave in the same way for a second grade fluid. Three examples considered show that there are pronounced effects of the side walls on the flows of a second grade fluid in ducts with suction and injection. (c) 2007 Elsevier Ltd. All rights reserved.