The form of the loss of stability of a boundary layer on a flexible surface at high reynolds numbers

Journal of Applied Mathematics and Mechanics

Volumn 66, Issue 5, 2002, Pages 775-786

  Alekseyev, V V ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036986472     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(02)90008-0     Document Type: Article

References (20)

1. KRAMER, M.O., Boundary layer stabilization by distributed damping. J. Am. Soc. Naval Engrs, 1960, 72, 25-33.
2. BENJAMIN, T. B., Effects of a flexible boundary on hydrodynamic stability. J. Fluid Mech., 1960, 9, Pt 4, 513-532.
3. BENJAMIN, T. B., The threefold classification of unstable disturbances in flexible surfaces bounding invisci flows. J. Fluid Mech., 1963, 16, Pt 3, 436-450.
4. LANDAHL, M. T., On the stability of a laminar incompressible boundary layer over a flexible surface. J. Fluid Mech., 1962, 13, Pt 4, 609-632.
5. KOROTKIN, A. I., Stability of a laminar boundary layer in an incompressible fluid on an elastic surface. Izv. Akad. Nauk SSSR. MTT., 1966, 3, 39-44.
6. AMFILOKHIYEV, V. B., DROBLENKOV, V. V. and ZAVOROKHINA, A. S., Growth of small perturbations in a boundary layer on an elastic surface. Zh. Prikl. Mekh. Tekh. Fiz., 1972, 2, 137-139.
7. CARPENTER, P. W. and GARRAD, A. D., The hydrodynamic stability of flow over Kramer-type compliant surfaces, Pt 1. Tollmien-Schlichting instabilities. J. Fluid Mech., 1985, 155, 465-510.
8. CARPENTER, P. W. and GARRAD, A. D., The hydrodynamic stability of flow over Kramer-type compliant surfaces, Pt 2. Flow-induced surface instabilities. J. Fluid Mech., 1986, 170, 199-232.
9. RILEY, J.J., GAD-EL-HAK, M. and METCALFE, R.W., Compliant coatings. Ann. Rev. Fluid Mech., 1988, 20, 393-420.
10. SAVENKOV, I. V., Suppression of the growth of non-linear wave packets by an elastic surface over which the flow occurs. Zh. Vychisl. Mat. Mat. Fiz., 1995, 35, 1, 95-103.
11. RYZHOV, O. S. and TERENT'YEV, Ye. D., An unsteady boundary layer with self-induced pressure. Prikl. Mat. Mekh., 1977, 41, 6, 1007-1023.
12. ZHUK, V. I. and RYZHOV, O. S., Free interaction and the stability of the boundary layer in an incompressible fluid. Dokl. Akad. Nauk SSSR, 1980, 253, 6, 1326-1329.
13. SMITH, F. T., On the non-parallel flow stability of the Blasius boundary layer. Proc. Roy. Soc. London. Ser. A., 1979, 366, 1724. 91-109.
14. DUCK, P. W., The effect small surface perturbations on the pulsatile boundary layer on a semi-infinite flat plate. J. Fluid Mech., 1988, 197, 259-293.
15. SAVENKOV, I. V. and TERENT'YEV, Ye. D., Calculation of the longitudinal velocity in the linear problem of a vibrator in a subsonic boundary layer. Izv. Akad. Nauk SSSR. MZhG, 1987, 3, 61-67.
16. RYZHOV, O. S. and TERENT'YEV, Ye. D., Wave motions in a three-dimensional boundary layer. Prikl. Mat. Mekh., 1991, 55, 6, 912-927.
17. TERENT'YEV, Ye. D., The linear problem of a vibrator executing harmonic oscillations at subcritical frequencies in a subsonic boundary layer. Prikl. Mat. Mekh., 1984, 48, 2, 264-272.
18. GAD-EL-HAK, M., BLACKWELDER, R. F. and RILEY, J. J., On the interaction of compliant coatings with boundary-layer flows. J. Fluid Mech., 1984, 140, 257-280.
19. REID, W. H., The stability of parallel flows. Basic Developments in Fluid Dynamics, Edited by M. Holt, Vol. 1. Academic Press, New York, 1965, 249-307.
20. GRIGOLYUK, E. I. and LOPANITSYN, Ye. A., Finite deflection and snapping of thin elastic plate panels, Prikl. Mat. Mekh., 1996, 60, 5, 865-876.