Prandtl–Batchelor flow past a flat plate with a forward-facing flap

Author:

Saffman P. G.,Tanveer S.

Abstract

Two-dimensional steady inviscid flow past an inclined flat plate with a forward-facing flap attached to the rear edge is considered for the case when a vortex sheet separates from the leading edge of the flat plate and reattaches at the leading edge of the flap, with uniform vorticity distributed between the vortex sheet and the body. Solutions are found for a particular geometry and a range of values of the vorticity. The method used to calculate the flow is an extension of a free-streamline method widely used in cases where the velocity is a constant on the separating streamline.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference11 articles.

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2. Tanveer, S. 1983 Topics in 2-d separated vortex flows. Ph.D. thesis,California Institute of Technology.

3. Herwig, H. 1982 Die Anwendung der asymptotischen Theorie auf laminare Stromungen mit endlichen Ablosegebieten.Z. Flugwiss, Weltraumforsch. 6,266–279.

4. Deem, G. S. & Zabusky, N. 1978 Stationary ‘V-states’, interactions, recurrence and breaking. In Solitons in Action (ed. K. Lonngren & A. Scott ).Academic.

5. Dzugaev, H. 1982 Solution of flow over a diaphragm in a two dimensional channel.Izv. Akad. Nauk SSSR, Mekh. Zhid. i Gaza, July–August,134–137.

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