Abstract
The measurement method for complex compliance of viscoelastic coatings based on direct determination of deformation amplitude and pressure fluctuations was suggested. The value of dynamic deformation was about 0.02%. The frequency range was from 200 Hz to 2 kHz. Complex compliance of a viscoelastic coating measured was experimentally compared with calculations made on the basis of the measured modulus of elasticity and loss factor of the coating material. The resonance frequency was shown to not depend on the ratio between the diameter of the contact area and the coating thickness. According to the suggested explanation, coating deformation is defined by a stationary wave with an oscillation node on solid basement and loop on the coating outside. Analysis showed that to obtain maximum coating deformation under the action of pressure fluctuations, two conditions should be satisfied and the influence frequency should be equal to resonance the frequency of the coating (time factor). The length scale of convective pressure wave should also be equal to quadruple the thickness of the coating (spatial factor).
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References
Amfilokhnev VB, Artyushkov LS, Barbanel BA, Korotkin AI, Mazaev KM, Maltsev LI, Semenov BN (2000) Modern state of the theory of boundary layer control. St. Petersburg
Babenko VV, Kanarskiy MV, Korobov VI (1993) Boundary layers over elastic surfaces (in Russian). Naukova Dumka, Kiev
Bushnell DM, Hefner JN, Ash RL (1977) Effect of compliant wall motion on turbulent boundary layers. Phys Fluids 20:S31–S48
Cantwell BJ (1981) Organized motion in turbulent flow. Ann Rev Fluid Mech 13:457–515
Choi K-S, Yang X, Clayton BR, Glover EJ, Atlar M, Semenov BN, Kulik VM (1997) Turbulent drag reduction using compliant surfaces. Proc R Soc Lond A 453:2229–2240
Ferry JD (1980) Viscoelastic properties of polymers. Wiley, New York
Gad-el-Hak M (1984) An optical technique for measuring the flow-induced motion of a compliant surface. Sympos on flow-included vibrations, Vol 5, New Orleans, pp 9–22
Korobov VI, Babenko VV (1983) On one interaction mechanism of an elastic wall with a flow. Eng Phys 44:730–733
Kramer MO (1957) Boundary layer stabilization by distributed damping. J Aerosol Sci 24:459–460
Kulik VM (1998) Method of measurement of vibration parameters of a real dolphin skin. Biona Rep 12:225–227
Kulik VM (2002) Frequency region widening of the material viscoelastic properties measured by the two-parametric method. Measure Tech 6:46–48
Kulik VM, Morozova SL (2001) Response of a compliant coating on turbulent pressure pulsation. Thermophys Aeromech 8(1):59–75
Kulik VM, Semenov BN (1986) The two-parametric method for measurements of viscoelastic properties of polymer materials. Metrologiya 4:32–38
Kulik VM, Semenov BN (1996) The measurement of dynamic properties of viscoelastic materials for turbulent drag reduction. Emerging techniques in drag reduction. MEP, London and Bury St Edmunds, pp 207–218
Kulik VM, Poguda IS, Semenov BN (1991) Experimental investigation of one-layer viscoelastic coating action on turbulent friction and wall pressure pulsations. Recent developments in turbulent management. Kluwer, Dordrecht, pp 236–289
Landau LD, Lifschitz EM (1987) Fluid mechanics, 2nd edn. Pergamon Press, Oxford
Lee T, Fisher M, Schwarz WH (1995) Investigation of the effects of a compliant surface on boundary-layer stability. J Fluid Mech 288:37–58
Lucey AD, Carpenter PW (1995) Boundary layer instability over compliant walls: comparison between theory and experiment. Phys Fluids 7:2355–2363
Rayleigh L (1885) On waves propagated along the plane surface of an elastic solid. Proc Lond Math Soc 17:4–11
Rosin GS (1972) Measurement of dynamic properties of acoustic materials. Moscow
Semenov BN (1971) About interaction of a compliant boundary with a viscous sublayer of the turbulent boundary layer. J Appl Mech Theor Phys 3:58–62
Semenov BN (1996) Analysis of four types of viscoelastic coatings for turbulent drag reduction. Emerging techniques in drag reduction. MEP, London and Bury St. Edmunds, pp 187–206
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This work was financially supported by the National Research Laboratory program of Korea and by Advanced Ship Engineering Research Center of the Korea Science and Engineering Foundation.
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Kulik, V.M., Rodyakin, S.V., Lee, I. et al. Deformation of a viscoelastic coating under the action of convective pressure fluctuations. Exp Fluids 38, 648–655 (2005). https://doi.org/10.1007/s00348-005-0947-y
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DOI: https://doi.org/10.1007/s00348-005-0947-y