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Investigation of the effects of a compliant surface on boundary-layer stability

Published online by Cambridge University Press:  26 April 2006

T. Lee ,
M. Fisher  and
W. H. Schwarz
T. Lee
Affiliation:
Johns Hopkins University, Baltimore, MD 21218, USA
M. Fisher
Affiliation:
Johns Hopkins University, Baltimore, MD 21218, USA
W. H. Schwarz
Affiliation:
Johns Hopkins University, Baltimore, MD 21218, USA
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Abstract

Some of the effects of a passive, single-layer, viscoelastic compliant surface on the stability of a Blasius boundary layer were investigated in a low-turbulence wind tunnel. Measurements of the wavelength and growth rates of vibrating-ribbon-excited harmonic waves were made by hot-wire anemometry. The data for three compliant surfaces with different shear moduli, material damping coefficients, and thicknesses were compared to rigid-surface data. The flow-induced surface displacements were measured using an electro-optic displacement transducer. The results show that the growth rates of unstable Tollmien–Schlichting waves, and the extent of the unstable region in the (F, Rδ*)-plane are reduced over the compliant surfaces relative to those over a rigid surface with the absence of flow-induced surface instabilities. The suppression of the Tollmien–Schlichting waves is accompanied by a surface motion driven by the flow field at the excitation frequency. The experimental results suggest that a delay of the onset to turbulence is possible in air by using appropriately tuned surface characteristics. Further experiments are needed to study the three-dimensional disturbance mode, the flow-induced surface instabilities and the breakdown process.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 288 , 10 April 1995 , pp. 37 - 58
Copyright
© 1995 Cambridge University Press

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References

Acharya, M. & Escudier, M. P. 1984 A direct formulation of correlations for wall-proximity corrections of hot-wire measurements. Exps Fluids 2, 125.Google Scholar
Barry, M. D. J. & Ross, M. A. S. 1970 The flat plate boundary layer. Part 2. The effect of increasing thickness on stability. J. Fluid Mech. 4, 813.Google Scholar
Benjamin, T. B. 1960 Effects of a flexible surface on hydrodynamic stability. J. Fluid Mech. 6, 513.Google Scholar
Benjamin, T. B. 1963 The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 14, 436.Google Scholar
Bhatia, J. C., Durst, F. & Jovanovic, J. 1982 Corrections of hot-wire anemometer measurements near walls. J. Fluid Mech. 122, 411.Google Scholar
Blick, F. B. & Walters, R. R. 1968 Turbulent boundary-layer characteristics of compliant surfaces. J. Aircraft 5, 11.Google Scholar
Bushnell, D. M., Hefner, J. N. & Ash, R. L. 1977 Effect of compliant wall motion on turbulent boundary layer. Phys. Fluids 20, S31.Google Scholar
Carpenter, P. W. 1990 Status of transition delay using compliant walls. In Viscous Drag Reduction in Boundary Layer (ed. D. Bushnell & J. J. Hefner), p. 79 AIAA.
Carpenter, P. W. 1993 The optimization of multi-panel compliant walls for delay of laminar–turbulent transition. AIAA J. 31, 1187.Google Scholar
Carpenter, P. W. & Gajjar, J. S. B. 1990 A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls. Theoret. Comput. Fluid Dyn. 1, 349.Google Scholar
Carpenter, P. W. & Garrad, A. D. 1985 The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien–Schlichting instabilities. J. Fluid Mech. 155, 46.Google Scholar
Carpenter, P. W. & Garrad, A. D. 1986 The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. flow-induced surface instabilities. J. Fluid Mech. 170, 199.Google Scholar
Carpenter, P. W., Lucey, A. D. & Dixon, A. E. 1991 The optimization of compliant walls for drag reduction. In Recent Development in Turbulence Management (ed. K.-S. Choi), p. 223. Kluwer.
Carpenter, P. W. & Morris, P. J. 1990 The effect of anisotropic wall compliance on boundary-layer stability and transition. J. Fluid Mech. 218, 171.Google Scholar
Coleman, B. D. & Noll, W. 1961 Foundations of linear viscoelasticity. Rev. Mod. Phys. 33, 239.Google Scholar
Dixon, A. E., Lucey, A. D. & Carpenter, P. W. 1994 Optimization of viscoelastic compliant walls for transition delay. AIAA J. 32, 256.Google Scholar
Duncan, J. H. 1986 The response of an incompressible, viscoelastic coating to pressure fluctuations in a turbulent boundary layer. J. Fluid Mech. 171, 339.Google Scholar
Duncan, J. H., Waxman, A. M. & Tulin, M. P. 1985 The dynamics of waves at the interface between a viscoelastic coating and a fluid flow. J. Fluid Mech. 158, 177.Google Scholar
Ferry, J. D. 1980 Viscoelastic Properties of Polymers. John Wiley.
Gad-El-Hak, M., Blackwelder, R. F. & Riley, J. J. 1984 On the interaction of compliant coatings with boundary-layer flows. J. Fluid Mech. 140, 257.Google Scholar
Gaster, M. 1987 Is the dolphin a red herring? In IUTAM Symp. Turbulence Management and Relaminarization (ed. W. Liepmann & R. Narashima), p. 285.
Hansen, R. J. & Hunston, D. L. 1974 An experimental study of turbulent flows over compliant surfaces. J. Sound Vib. 34, 297.Google Scholar
Hansen, R. J. & Hunston, D. L. 1983 Fluid-property effects on flow-generated waves on a compliant surface. J. Fluid Mech. 133, 161.Google Scholar
Hess, D. E. 1990 An experimental investigation of a compliant surface beneath a turbulent boundary layer. PhD dissertation, The Johns Hopkins University.
Hess, D. E., Peattie, R. A. & Schwarz, W. H. 1993 A noninvasive method for the measurement of flow-induced surface displacement of a compliant surface. Exps Fluids 14, 78.Google Scholar
Joslin, R. D. & Morris, P. J. 1989 The sensitivity of flow and surface instabilities to changes in compliant wall properties. J. Fluids Struct. 3, 423.Google Scholar
Joslin, R. D. & Morris, P. J. 1992 Effect of compliant walls on secondary instability in boundary-layer transition. AIAA J. 30, 332.Google Scholar
Joslin, R. D., Morris, P. J. & Carpenter, P. W. 1991 Role of three-dimensional instability in compliant wall boundary-layer transition. AIAA J. 29, 1603.Google Scholar
Kachnov, Yu. S. & Levchenko, V. YA 1984 The resonant interaction of disturbances at laminar–turbulent transition in a boundary layer. J. Fluid Mech. 138, 209.Google Scholar
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary-layer instability. J. Fluid Mech. 12, 1.Google Scholar
Kramer, M. O. 1957 Boundary-layer stabilization by distributed damping. J. Aero. Sci. 24, 459.Google Scholar
Krishnamoorthy, L. V., Wood, D. H., Antonia, R. A. & Chambers, A. J. 1985 Effect of wire diameter and overheat ratio near a conducting wall. Exps Fluids 3, 121.Google Scholar
Landahl, M. T. 1962 On the stability of a laminar incompressible boundary layer over a flexible surface. J. Fluid Mech. 13, 609.Google Scholar
Lee, T., Fisher, M. & Schwarz, W. H. 1993a Investigation of the stable interaction of a passive compliant surface with a turbulent boundary layer. J. Fluid Mech. 257, 373.Google Scholar
Lee, T., Fisher, M. & Schwarz, W. H. 1993b The measurement of flow-induced surface displacement on a complaint surface by optical holographic interferometry. Exps Fluids 14, 158.Google Scholar
McMichael, J. M., Klebanoff, P. S. & Mease, N. 1979 Experimental investigation of drag on a compliant surface. In Viscous Flow Drag Reduction (ed. G. R. Hough), p. 410. AIAA.
Nishioka, M., Iida, S. & Ichikawa, Y. 1975 An experimental investigation of the stability of plane Poiseuille flow. J. Fluid Mech. 72, 731.Google Scholar
Reynolds, G. A. & Saric, W. S. 1986 Experiments on the stability of the flat-plate boundary layer with suction. AIAA J. 24, 202.Google Scholar
Riley, J. J., Gad-el-hak, M. & Metcalf, R. W. 1988 Compliant coatings. Ann. Rev. Fluid Mech. 20, 393.Google Scholar
Ross, J. A., Barnes, F. H., Burns, J. G. & Ross, M. A. S. 1970 The flat plate boundary layer. Part 3. Comparison of theory with experiment. J. Fluid Mech. 43, 819.Google Scholar
Saric, W. S. 1990 Low-speed experiments: requirements for stability measurements. In Instability and Transition (ed. M. Y. Hussain & R. G. Voigt), p. 162. Springer.
Schubauer, G. B. & Skramstad, H. K. 1947 Laminar boundary-layer oscillations and transition on a flat plate. NBS RP1772.Google Scholar
Schuster, H. H. 1972 An experimental study of the interaction between a highly compliant boundary and turbulent shear flow. PhD dissertation, The Johns Hopkins University.
Schwarz, W. H. 1975 Acoustic wave propagation in a viscoelastic fluid undergoing a simple steady shearing motion. J. Acoust. Soc. Am. 58, 1196.Google Scholar
Sen, P. K. & Arora, D. S. 1988 On the stability of laminar boundary-layer flow over a flat plate with a compliant surface. J. Fluid Mech. 197, 201.Google Scholar
Turan, O., Azad, R. S. & Atamanchuk, T. M. 1987 Wall effects on the hot-wire signal without flow. J. Phys. E: Sci. Instrum. 20, 1278.Google Scholar
Walters, K. 1975 Rheometry. Whitstable Litho.
Willis, G. J. K. 1986 Hydrodynamic stability of boundary layers over compliant surfaces. PhD thesis, University of Exeter.
Yeo, K. S. 1986 The stability of flow over flexible surfaces. PhD thesis, University of Cambridge.
Yeo, K. S. 1988 The stability of boundary-layer flow over single- and multi-layer viscoelastic walls. J. Fluid Mech. 196, 359.Google Scholar
Yeo, K. S. 1990 The hydrodynamic stability of boundary-layer flow over a class of anisotropic compliant walls. J. Fluid Mech. 220, 125.Google Scholar