PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

The effect of heating/cooling on the upper-branch stability of boundary layer flows over a compliant boundary

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We investigate the evolution of Tollmien-Schlichting waves in boundary layers in the presence of moderate buoyancy arising from the heating or cooling of a compliant wall. We exploit the multi-deck structure of the flow in the limit of large Reynolds numbers to make an asymptotic analysis of the pertubed flow, along the upper-branch of the neutral stability curve, to derive linear neutral results. These results are discussed and are compared to rigid wall results. Also, a brief parametric study, based on the linear neutral results, is presented and the results are discussed.
Rocznik
Strony
163--181
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
  • University of Zimbabwe, Mathematics Department, P.O. Box MP 167, Mount Pleasant, Harare, Zimbabwe
autor
  • Department of Mathematics, University of Manchester , Oxford Road, Manchester M13 9PL, England
autor
  • University of Zimbabwe, Mathematics Department, P.O. Box MP 167, Mount Pleasant, Harare, Zimbabwe
Bibliografia
  • [1] P.W. Carpenter, J.S.B. Gajjar. A general theory for two and three dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls. Theoret. Comput. Fluid Dynamics, 1: 349-378, 1990.
  • [2] P.W. Carpenter, A.D. Garrad. The hydrodynamic stability of flow over Kramer type compliant surfaces. Part 1. Tollmien-Schlichting instabilities. J. Fluid Mech., 155: 465-510, 1985.
  • 131 P.W. Carpenter, A.D. Garrad. The hydrodynamic stability of flow over Kramer type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech., 170: 199-232, 1986.
  • [4] P.W. Carpenter, P.J. Morris. Effect of anisotropic wall compliance on boundary layer stability and transition. J. Fluid Mech., 218: 171-223, 1990.
  • [5] C. Davies, P.W. Carpenter. Instabilities in plane channel flow between compliant walls. J. Fluid Mech., 352: 201-243, 1997.
  • [6] A.E Dixon, A.D. Lucey, P.W. Carpenter. Optimization of viscoelastic compliant walls for transition delay. AIAA Journal, 32: 256-267, 1994.
  • [7] J.S.B. Gajjar. Nonlinear stability of nonstationery cross-flow vortices in compressible boundary layers. Stud. Appl. Math, 48: 181-204, 1996.
  • [8] J.S.B. Gajjar, J.W. Cole. The upper-branch stability of compressible boundary layer flows. Theoret. Comput. Fluid Dynamics, 1: 105-123, 1989.
  • [9] J.S.B. Gajjar, P. Sibanda. The hydrodynamic stability of channel flow compliant boundaries. Theoret. Comput. Fluid Dynamics, 8: 105-129, 1996.
  • [10] P. Hall, H. Morris. On the instability of boundary layers on heated flat plates. J. Fluid Mech., 245: 367-400, 1992.
  • [11] L.M. Hocking. Non-linear instability of the asymptotic suction velocity profile. Quart. J. Mech. Appl. Math, 28: 341-53, 1975.
  • [12] M.T. Landahl. On the stability of laminar incompressible boundary layer over a flexible surface. J. Fluid Mech., 13: 609-632, 1962.
  • [13] C.C. Lin. The Theory of Hydrodynamic Stability. Cambridge University Press, 1955.
  • [14] S.S. Motsa, J.S.B. Gajjar, P.S. Sibanda. On the upper-branch staybility of channel flows over compliant surfaces with heating/cooling. Submitted to Eur. J. of Fluid Mech., 1999.
  • [15] E.W. Mureithi, J.P. Denier, A.K. Stott. The effect of buoyancy on upper-branch Tollmien—Schlichting waves. IMA J. Appl. Maths., 58: 19-50, 1997.
  • [16] F.T. Smith, R.J. Bodonyi. On the stability of the developing flow in a channel or circular pipe. Q. J. Mech. Appl. Maths., 33: 293-320, 1981.
  • [17] F.T. Smith, R.J. Bodonyi. Nonlinear critical layers and their development in streaming-flow stability. J. Fluid. Mech., 118: 165-185, 1982.
  • [18] F.T. Smith, K. Stewartson. On slot injection into a supersonic laminar boundary layer. Proc. R. Soc. Lond., A332: 1-22, 1973.
  • [19[ A.R. Wazzan, T. Okamura, A.M.O. Smith. The stability of water flow over heated and cooled flat plates. J. Heat Transfer, Trans of the ASME, 109-113, 1968.
  • [20] K.S. Yeo. The stability of boundary layer flow over single and multi-layer viscoelastic walls. J. Fluid. Mech., 196: 369-408, 1988.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0006-0060
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.