Deformation of a linear viscoelastic compliant coating in a turbulent flow

Benschop, H.O.G.; Greidanus, A.J.; Delfos, R.; Westerweel, J.; Breugem, W.P.

doi:10.1017/jfm.2018.813

Deformation of a linear viscoelastic compliant coating in a turbulent flow

Title

Deformation of a linear viscoelastic compliant coating in a turbulent flow

Author

Benschop, H.O.G. (TU Delft Fluid Mechanics)
Greidanus, A.J. (TU Delft Fluid Mechanics)
Delfos, R. (TU Delft Support Process and Energy)
Westerweel, J. (TU Delft Fluid Mechanics)
Breugem, W.P. (TU Delft Multi Phase Systems)

Date

2019

Abstract

We investigate the deformation of a linear viscoelastic compliant coating in a turbulent flow for a wide range of coating parameters. A one-way coupling model is proposed in which the turbulent surface stresses are expressed as a sum of streamwise-travelling waves with amplitudes determined from the stress spectra of the corresponding flow over a rigid wall. The analytically calculated coating deformation is analysed in terms of the root-mean-square (r.m.s.) surface displacement and the corresponding point frequency spectra. The present study systematically investigates the influence of five coating properties namely density, stiffness, thickness, viscoelasticity and compressibility. The surface displacements increase linearly with the fluid/solid density ratio. They are linearly proportional to the coating thickness for thin coatings, while they become independent of the thickness for thick coatings. Very soft coatings show resonant behaviour, but the displacement for stiffer coatings is proportional to the inverse of the shear modulus. The viscoelastic loss angle has only a significant influence when resonances occur in the coating response, while Poisson's ratio has a minor effect for most cases. The modelled surface displacement is qualitatively compared with recent measurements on the deformation of three different coatings in a turbulent boundary-layer flow. The model predicts the order of magnitude of the surface displacement, and it captures the increase of the coating displacement with the Reynolds number and the coating softness. Finally, we propose a scaling that collapses all the experimental data for the r.m.s. of the vertical surface displacement onto a single curve.

Subject

elastic waves
flow-structure interactions
turbulent flows

To reference this document use:

http://resolver.tudelft.nl/uuid:e65a2050-7424-4804-b772-c88b3e767257

DOI

https://doi.org/10.1017/jfm.2018.813

ISSN

0022-1120

Source

Journal of Fluid Mechanics, 859, 613-658

Part of collection

Institutional Repository