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Effects of the side walls on the unsteady flow of a second-grade fluid in a duct of uniform cross-section. (English) Zbl 1348.76062

Summary: In this paper, the effects of the side walls on the unsteady flow of a second-grade fluid in a duct of rectangular cross-section are considered. Two types of unsteady flows are investigated. One of them is the unsteady flow in a duct of rectangular cross-section moving parallel to its length and the other is the unsteady flow due to an applied pressure gradient in a duct of rectangular cross-section whose sides are at rest. It is shown that a Newtonian fluid reaches steady-state earlier than a second-grade fluid and the effect of the side walls on a second-grade fluid is more effective than that on a Newtonian fluid.

MSC:

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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