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Models for inviscid wakes past a normal plate

Published online by Cambridge University Press:  14 August 2012

A. Elcrat  and
L. Zannetti
A. Elcrat
Affiliation:
Wichita State University 1845 N. Fairmount, Wichita, KS 67260-0033, USA
L. Zannetti*
Affiliation:
DIMEAS, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
*
†Email address for correspondence: luca.zannetti@polito.it
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Abstract

Closed and open hollow wakes are considered as analytic models for the two-dimensional inviscid steady flow past a plate normal to the stream. It is shown that only open configurations which satisfy the Kutta condition exist. The main argument is based on considering a plate located on the edge of a step with varying height. It is shown that solutions for open wakes exist for backward-, null and forward-facing steps, while closed wakes only exist for backward-facing steps. The occurrence of secondary separation has been modelled by adding a hollow region attached to the downstream corner. Peculiar accuracy issues of the problem are pointed out which may explain other contradictory results from the literature. It is shown how the Kirchhoff wake is a limiting solution for certain values of the governing parameters.

JFM classification

Wakes/Jets: Separated flows Vortex Flows: Vortex dynamics Wakes/Jets: Wakes
Type
Papers
Information
Journal of Fluid Mechanics , Volume 708 , 10 October 2012 , pp. 377 - 396
Copyright
Copyright © Cambridge University Press 2012

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