Perturbation structure and spectra in turbulent channel flow

Theoretical and Computational Fluid Dynamics

Volumn 11, Issue 3-4, 1998, Pages 237-250

  Farrell, Brian F ^a   Ioannou, Petros J ^b  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000978138     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050091     Document Type: Article

References (34)

1. Bakewell, H.P., and Lumley, J.L. (1967) Viscous sublayer and adjacent wall region in turbulent pipe flow. Phys. Fluids 10, 1880.
2. Benney, D.J., and Gustavsson, L.H. (1981) A new mechanism for linear and nonlinear hydrodynamic instability. Stud. Appl. Math. 64, 185-209.
3. Benney, D.J., and Lin, C.C. (1960) On the secondary motion induced by oscillations in a shear flow. Phys. of Fluids 3, 656-657.
4. Butler, K.M., and Farrell, B.F. (1992) Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A4, 1637-1650.
5. Butler, K.M., and Farrell, B.F. (1993) Optimal perturbations and streak spacing in wall-bounded turbulent shear flow. Phys. Fluids A 5, 774-777.
6. Ellingsen, T., and Palm, E. (1975) Stability of linear flow. Phys. Fluids 18, 487-488.
7. Farrell, B.F. (1987) Developing disturbances in shear. J. Atmos. Sci. 44, 2191-2199.
8. Farrell, B. F. 1988: Optimal excitation of perturbations in viscous shear flow. Phys. Fluids 31, 2093-2102.
9. Farrell, B.F., and Ioannou, P.J. (1993a) Optimal excitation of three-dimensional perturbations in viscous constant shear flow. Phys. Fluids A5, 1390-1400.
10. Farrell, B.F., and Ioannou, P.J. (1993b) Perturbation growth in shear flow exhibits universality. Phys. Fluids A 5, 2298-2300.
11. Farrell, B.F., and Ioannou, P.J. (1993c) Stochastic Forcing of the Navier-Stokes equations. Phys. Fluids A 5, 2600-2700.
12. Farrell, B.F., and Ioannou, P.J. (1993d) Stochastic dynamics of baroclinic waves. J. Atmos. Sci. 50, 4044-4057.
13. Farrell, B.F., and Ioannou, P.J. (1994a) Variance maintained by stochastic forcing of non-normal dynamical systems associated with linearly stable shear flows. Phys. Rev. Lett. 72, 1188-1191.
14. Farrell, B.F., and Ioannou, P.J. (1994b) A theory for the statistical equilibrium energy spectrum and heat flux produced by transient baroclinic waves. J. Atmos. Sci. 51, 2685-2698.
15. Farrell, B.F., and Ioannou, P.J. (1995) Stochastic dynamics of the midlatitude jet. J. Atmos. Sci.52, 1642-1656.
16. Görtler, H. (1940) Über eine dreidimensionale Instabilität laminarer Grenzschichten in konkaven Wänden. Nachr. Ges. Wiss. Göttingen, N.F. 2(1), 1-26.
17. Houssain, A.K.M.F., and Reynolds, W.C. (1975) Measurements in fully developed turbulent channel flow. Trans. ASME Ser. I J. Fluid Engrng. 97, 568-578.
18. Ioannou, P.J. (1994) Non-normality always increases variance. J. Atmos. Sci. 52, 1155-1158.
19. Johansson, A.V., Alfredsson, P.H., and Kim J. (1991) Evolution and dynamics of shear layer structures in near wall turbulence. J. Fluid Mech. 224, 579-599.
20. Kim, H.T., Kline, S.J., and Reynolds W.C. (1971) The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133-161.
21. Kline, S.J., and Runstadler, P.W. (1959) Some preliminary results of visual studies of wall layers of the turbulent boundary layer. Trans. ASME Ser. E J. Appl. Mech. 26, 166.
22. Kline, S.J., Reynolds, W.C., Schraub, F.A., and Runstadler. P.W. (1967) The structure of turbulent shear layers. J. Fluid Mech. 30, 741-773.
23. Landahl, M.T. 1980: A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech, 98, 243-251.
24. Lee, M.J., Kim J., and Moin P. (1990) Structure of turbulence at high shear rate. J. Fluid Mech. 216, 561-583.
25. Moffat, H.K. (1967) The interaction of turbulence with strong shear. In Atmospheric Turbulence and Radio Wave Propagation A.M. Yaglom and V.I. Tatarski, eds. Nauka, Moscow, p. 139.
26. Morrison, W.R.B., and Kronauer, R.E. (1969) Structural similarity for fully developed turbulence in smooth tubes. J. Fluid Mech. 39, 117-141.
27. Morrison, W.R.B., Bullock, K.J., and Kronauer, R.E. (1971) Experimental evidence of waves in the sublayer. J. Fluid Mech. 47, 639-656.
28. Orr, W.M'F. (1907) The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Proc. R. Irish Acad. A 27, 9-138.
29. Reddy, S.C., and Henningson, D.S. (1993) Energy growth in viscous channel flows. J. Fluid Mech. 252, 209-238.
30. Reynolds, W.C., and Tiederman. W.G. (1967) Stability of turbulent channel flow, with application to Malkus's theory. J. Fluid Mech. 27, 253-272.
31. Smith, C.R., and Metzler, S.P. (1983) The characteristics of low speed streaks in the near wall region of a turbulent boundary layer. J. Fluid Mech. 129, 27-54.
32. Townsend, A.A. (1972) Entrainment and structure of turbulent flow. J. Fluid Mech. 41, 13-46.
33. Trefethen, L.N., Trefethen, A.E., Reddy, S.C., and Driscoll, T.A. (1993) Hydrodynamic stability without eigenvalues. Science 261, 578-584.
34. Wang, M.C., and Uhlenbeck, G.E. (1945) On the theory of Brownian motion II. Rev. Mod. Phys., 17, 323-342.