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Experiments in Fluids

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01-10-2016 | Research Article

Image processing using proper orthogonal and dynamic mode decompositions for the study of cavitation developing on a NACA0015 foil

Authors: Sebastien Prothin, Jean-Yves Billard, Henda Djeridi

Published in: Experiments in Fluids | Issue 10/2016

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Abstract

The purpose of the present study is to get a better understanding of the hydrodynamic instabilities of sheet cavities which develop along solid walls. The main objective is to highlight the spatial and temporal behavior of such a cavity when it develops on a NACA0015 foil at high Reynolds number. Experimental results show a quasi-steady, periodic, bifurcation domain, with aperiodic cavity behavior corresponding to σ/2α values of 5.75, 5, 4.3 and 3.58. Robust mathematical methods of signal postprocessing (proper orthogonal decomposition and dynamic mode decomposition) were applied in order to emphasize the spatio-temporal nature of the flow. These new techniques put in evidence the 3D effects due to the reentrant jet instabilities or due to propagating shock wave mechanism at the origin of the shedding process of the cavitation cloud.

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In the POD meaning the energy of a totally black image is equal to zero, and the one of a totally white image reaches its maximum.

All the cavity length presented are made no dimensional by the chord length of the profile.

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Title: Image processing using proper orthogonal and dynamic mode decompositions for the study of cavitation developing on a NACA0015 foil
Authors: Sebastien Prothin
Jean-Yves Billard
Henda Djeridi
Publication date: 01-10-2016
Publisher: Springer Berlin Heidelberg
Published in: Experiments in Fluids / Issue 10/2016
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI: https://doi.org/10.1007/s00348-016-2246-1

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