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The Quarterly Journal of Mechanics and Applied Mathematics 1971 24(4):445-459; doi:10.1093/qjmam/24.4.445
© 1971 by Oxford University Press
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STEADY TWO-DIMENSIONAL CAVITY FLOW PAST AN INFINITE NUMBER OF AEROFOILS USING LINEARIZED THEORY

T. V. DAVIES and S. P. HO

( University of Leicester
Received 28 July 1970 )

The paper discusses the problem of the flow past an infinite number of identical, sharp-edged, equally spaced aerofoils to which are attached finite vapour-filled cavities in the wakes. An exact solution to this flow problem is obtained using the linearization hypothesis. A detailed study is made of the cavity length, lift and drag on an individual aerofoil and simple formulae are presented in the case of aerofoils of constant slope. An important result is that the cavity length increases and the lift decreases as the spacing of the aerofoils is diminished; the cavity length becomes infinitely long in certain circumstances of spacing and aerofoil slope. Part of the motivation here is the need to understand mutual interference effects in cavity flows past turbine blades and the present problem was posed to assess this in as simple a geometry as possible.


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