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Drag on flat plates of arbitrary porosity

Published online by Cambridge University Press:  29 August 2018

K. Steiros*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, 41 Olden St, Princeton, NJ 08544, USA
M. Hultmark
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, 41 Olden St, Princeton, NJ 08544, USA
*
Email address for correspondence: [email protected]

Abstract

A new model for the drag force on a two-dimensional flat plate of arbitrary porosity, oriented normal to the free stream, is introduced. The model is an extension of that introduced by Koo & James (J. Fluid Mech., vol. 60(3), 1973, pp. 513–538), where the performance at low porosities is improved by including a base-suction term. The additional drag due to the base suction is calculated implicitly using momentum theory, which makes the model self-contained. The model predictions exhibit convincing agreement with experimental observations over a wide range of porosities, including the solid case, as long as shedding is absent or suppressed.

Type
JFM Rapids
Copyright
© 2018 Cambridge University Press 

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References

Apelt, C. J. & West, G. S. 1975 The effects of wake splitter plates on bluff-body flow in the range 104 < R < 5 × 104 . J. Fluid Mech. 71 (1), 145160.Google Scholar
Bearman, P. W. & Trueman, D. M. 1972 An investigation of the flow around rectangular cylinders. Aeronaut. Q. 23, 229237.Google Scholar
Betz, A. 1920 Das Maximum der theoretisch möglichen Ausnützung des Windes durch Windmotoren. Z. das Ges. Turbinenwesen 26, 307309.Google Scholar
Bossuyt, J., Meneveau, C. & Meyers, J. 2017 Wind farm power fluctuations and spatial sampling of turbulent boundary layers. J. Fluid Mech. 823, 329344.Google Scholar
de Bray, B. G. 1957 Low speed wind tunnel tests on perforated square flat plates normal to the airstream: drag and velocity fluctuation measurements. Aero. Res. Counc. CP 323, 114.Google Scholar
Castro, I. P. 1971 Wake characteristics of two-dimensional perforated plates normal to an air-stream. J. Fluid Mech. 46 (3), 599609.Google Scholar
Cumberbatch, E. 1981 Two-dimensional flow past a mesh. Q. J. Mech. Appl. Maths 35, 335344.Google Scholar
Glauert, H. 1935 Airplane Propellers, vol. IV. Springer.Google Scholar
Graham, J. M. R. 1976 Turbulent flow past a porous plate. J. Fluid Mech. 73 (3), 565591.Google Scholar
Hoerner, S. F. 1952 Aerodynamic properties of screens and fabrics. Text. Res. J. 22 (4), 274280.Google Scholar
Hoerner, S. F. 1965 Fluid Dynamic Drag. Self published.Google Scholar
Koo, J.-K. & James, D. F. 1973 Fluid flow around and through a screen. J. Fluid Mech. 60 (3), 513538.Google Scholar
Maskell, E. C.1965 A theory of the blockage effects on bluff bodies and stalled wings in a closed wind tunnel. Aero. Res. Counc. R. and M. no. 3400.Google Scholar
Medici, D. & Alfredsson, H.2005 Wind turbine near wakes and comparisons to the wake behind a disc. In 24th ASME Wind Energy Symposium, and 43rd AIAA, Aerospace Sciences Meeting and Exhibit, Reno, AIAA paper 2005–0595.Google Scholar
O’Neill, F. G. 2006 Source models of flow through and around screens and gauzes. Ocean Engng 33 (14–15), 18841895.Google Scholar
Roshko, A.1954 A new hodograph for free streamline theory. NACA TN 3618.Google Scholar
Roshko, A. 1955 On the wake and drag of bluff bodies. J. Aero. Sci. 22 (2), 124132.Google Scholar
Taylor, G. I.1944 Air resistance of a flat plate of very porous material. Aero. Res. Counc. R. and M. no. 2236.Google Scholar
Taylor, G. I. & Davies, R. M.1944 The aerodynamics of porous sheets. Aero. Res. Counc. R. and M. no. 2237.Google Scholar
Theunissen, R., Allen, C. B. & Housley, P. 2015 Feasibility of using porous discs for wind tunnel simulation of wind farm power variation with turbine layout. In 33rd Wind Energy Symposium, Kissimmee, FL. AIAA SciTech Forum. AIAA paper 2015–0222.Google Scholar
Yeung, W. W. H. & Parkinson, G. V. 2000 Base pressure prediction in bluff-body potential-flow models. J. Fluid Mech. 423, 381394.Google Scholar