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Wave drag on asymmetric bodies

Published online by Cambridge University Press:  04 September 2019

G. P. Benham Open the ORCID record for G. P. Benham [Opens in a new window] ,
J. P. Boucher ,
R. Labbé ,
M. Benzaquen Open the ORCID record for M. Benzaquen [Opens in a new window]  and
C. Clanet Open the ORCID record for C. Clanet [Opens in a new window]
G. P. Benham*
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
J. P. Boucher
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
R. Labbé
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
M. Benzaquen
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
C. Clanet
Affiliation:
LadHyX, UMR CNRS 7646, Ecole polytechnique, 91128 Palaiseau, France
*
†Email address for correspondence: graham.benham@ladhyx.polytechnique.fr
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Abstract

An asymmetric body with a sharp leading edge and a rounded trailing edge produces a smaller wave disturbance moving forwards than backwards, and this is reflected in the wave drag coefficient. This experimental fact is not captured by Michell’s theory for wave drag (Michell Lond. Edinb. Dubl. Phil. Mag. J. Sci., vol. 45 (272), 1898, pp. 106–123). In this study, we use a tow-tank experiment to investigate the effects of asymmetry on wave drag, and show that these effects can be replicated by modifying Michell’s theory to include the growth of a symmetry-breaking boundary layer. We show that asymmetry can have either a positive or a negative effect on drag, depending on the depth of motion and the Froude number.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 878 , 10 November 2019 , pp. 147 - 168
Copyright
© 2019 Cambridge University Press 

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