메뉴 건너뛰기




Volumn 16, Issue 8, 2004, Pages 2852-2863

Influence of small imperfections on the stability of plane Poiseuille flow: A theoretical model and direct numerical simulation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LEAKAGE (FLUID); MATHEMATICAL MODELS; REYNOLDS NUMBER; SURFACE ROUGHNESS;

EID: 4344593585     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1760100     Document Type: Article
Times cited : (8)

References (39)
  • 1
    • 84959707122 scopus 로고
    • Accurate solution of the Orr-Sommerfeld stability equation
    • S. A. Orszag, "Accurate solution of the Orr-Sommerfeld stability equation," J. Fluid Mech. 50, 689 (1971).
    • (1971) J. Fluid Mech. , vol.50 , pp. 689
    • Orszag, S.A.1
  • 2
    • 0016600519 scopus 로고
    • An experimental investigation of the stability of plane Poiseuille flow
    • M . Nishioka, S. Iida, and Y. Ichikawa, "An experimental investigation of the stability of plane Poiseuille flow," J. Fluid Mech. 72, 731 (1975).
    • (1975) J. Fluid Mech. , vol.72 , pp. 731
    • Nishioka, M.1    Iida, S.2    Ichikawa, Y.3
  • 3
    • 0020169305 scopus 로고
    • A flow visualization study of transition in plane Poiseuille flow
    • D. R. Carlson, S. E. Widnall, and M. F. Peeters, "A flow visualization study of transition in plane Poiseuille flow," J. Fluid Mech. 121, 487 (1982).
    • (1982) J. Fluid Mech. , vol.121 , pp. 487
    • Carlson, D.R.1    Widnall, S.E.2    Peeters, M.F.3
  • 4
    • 0021834425 scopus 로고
    • Some observations of the subcritical transition in plane Poiseuille flow
    • M. Nishioka and M. Asai, "Some observations of the subcritical transition in plane Poiseuille flow," J. Fluid Mech. 150, 441 (1985 ).
    • (1985) J. Fluid Mech. , vol.150 , pp. 441
    • Nishioka, M.1    Asai, M.2
  • 5
    • 0022482322 scopus 로고
    • Turbulent spots in plane Poiseuille flow - Flow visualization
    • F. Alavyoon, D. S. Henningson, and P. H. Alfredsson, "Turbulent spots in plane Poiseuille flow-flow visualization," Phys. Fluids 29, 1328 (1986).
    • (1986) Phys. Fluids , vol.29 , pp. 1328
    • Alavyoon, F.1    Henningson, D.S.2    Alfredsson, P.H.3
  • 6
    • 0002144874 scopus 로고
    • On the problem of turbulence
    • L. Landau, "On the problem of turbulence," C. R. Acad. Sci. URSS 44, 311 (1944).
    • (1944) C. R. Acad. Sci. URSS , vol.44 , pp. 311
    • Landau, L.1
  • 7
    • 84974073932 scopus 로고
    • On the nonlinear mechanics of wave disturbances in stable and unstable shear flows. Part I. The basic behavior in plane Poiseuille flow
    • J. T. Stuart, "On the nonlinear mechanics of wave disturbances in stable and unstable shear flows. Part I. The basic behavior in plane Poiseuille flow," J. Fluid Mech. 9, 353 (1960).
    • (1960) J. Fluid Mech. , vol.9 , pp. 353
    • Stuart, J.T.1
  • 8
    • 84974200488 scopus 로고
    • Finite-amplitude instability of parallel shear flows
    • W. C. Reynolds and M. C. Potters, "Finite-amplitude instability of parallel shear flows," J. Fluid Mech. 27, 465 (1967).
    • (1967) J. Fluid Mech. , vol.27 , pp. 465
    • Reynolds, W.C.1    Potters, M.C.2
  • 9
    • 84974040612 scopus 로고
    • Subcritical bifurcation of plane Poiseuille flow
    • T. S. Chen and D. D. Joseph, "Subcritical bifurcation of plane Poiseuille flow," J. Fluid Mech. 58, 337 (1973).
    • (1973) J. Fluid Mech. , vol.58 , pp. 337
    • Chen, T.S.1    Joseph, D.D.2
  • 10
    • 18344398180 scopus 로고
    • Nonlinear cellular motions in Poiseuille channel flow
    • J.-P. Zahn, J. Moore, E. A. Spiegel, and D. O. Gough, "Nonlinear cellular motions in Poiseuille channel flow," J. Fluid Mech. 64, 319 (1974).
    • (1974) J. Fluid Mech. , vol.64 , pp. 319
    • Zahn, J.-P.1    Moore, J.2    Spiegel, E.A.3    Gough, D.O.4
  • 11
    • 0026202323 scopus 로고
    • Finite-amplitude bifurcation in plane Poiseuille flow: Two-dimensional Hopf bifurcation
    • I. Soibelman and D. Meiron, "Finite-amplitude bifurcation in plane Poiseuille flow: two-dimensional Hopf bifurcation," J. Fluid Mech. 229, 389 (1991).
    • (1991) J. Fluid Mech. , vol.229 , pp. 389
    • Soibelman, I.1    Meiron, D.2
  • 14
    • 0020971752 scopus 로고
    • Secondary instability of wall-bounded shear flows
    • S. A. Orszag and A. T. Patera, "Secondary instability of wall-bounded shear flows," J. Fluid Mech. 128, 347 (1983).
    • (1983) J. Fluid Mech. , vol.128 , pp. 347
    • Orszag, S.A.1    Patera, A.T.2
  • 15
    • 0024085254 scopus 로고
    • Two-dimensional superharmonic stability of finite amplitude waves in plane Poiseuille flow
    • J. D. Pugh and P. G. Saffman, "Two-dimensional superharmonic stability of finite amplitude waves in plane Poiseuille flow," J. Fluid Mech. 194, 295 (1988).
    • (1988) J. Fluid Mech. , vol.194 , pp. 295
    • Pugh, J.D.1    Saffman, P.G.2
  • 16
    • 0018911819 scopus 로고
    • Transitional to turbulence in plane Poiseuille and plane Couette flow
    • S. A. Orszag and L. C. Kells, "Transitional to turbulence in plane Poiseuille and plane Couette flow," J. Fluid Mech. 96, 159 (1980).
    • (1980) J. Fluid Mech. , vol.96 , pp. 159
    • Orszag, S.A.1    Kells, L.C.2
  • 17
    • 0000718525 scopus 로고
    • Boundary-layer receptivity to long-wave free-stream turbulence
    • M. E. Goldstein and L. S. Hultgren, "Boundary-layer receptivity to long-wave free-stream turbulence," Annu. Rev. Fluid Mech. 21, 138 (1989).
    • (1989) Annu. Rev. Fluid Mech. , vol.21 , pp. 138
    • Goldstein, M.E.1    Hultgren, L.S.2
  • 18
    • 0035946226 scopus 로고    scopus 로고
    • Receptivity of boundary layer with distributed roughness to vortical and acoustic disturbances: A second-order theory and comparison with experiments
    • X. Wu, "Receptivity of boundary layer with distributed roughness to vortical and acoustic disturbances: A second-order theory and comparison with experiments," J. Fluid Mech. 431, 91 (2001).
    • (2001) J. Fluid Mech. , vol.431 , pp. 91
    • Wu, X.1
  • 19
    • 0035951053 scopus 로고    scopus 로고
    • On local boundary-layer receptivity to vortical disturbances in the free stream
    • X. Wu, "On local boundary-layer receptivity to vortical disturbances in the free stream," J. Fluid Mech. 449, 373 (2001).
    • (2001) J. Fluid Mech. , vol.449 , pp. 373
    • Wu, X.1
  • 20
    • 0036434080 scopus 로고    scopus 로고
    • Boundary-layer receptivity to free-stream disturbances
    • W. S. Saric, H. L. Reed, and E. J. Kerschen, "Boundary-layer receptivity to free-stream disturbances," Annu. Rev. Fluid Mech. 34, 291 (2002).
    • (2002) Annu. Rev. Fluid Mech. , vol.34 , pp. 291
    • Saric, W.S.1    Reed, H.L.2    Kerschen, E.J.3
  • 21
    • 0038128253 scopus 로고    scopus 로고
    • Linear and nonlinear instabilities of Blasius boundary layer perturbed by streamwise vortices: Part 1: Steady streaks
    • X. Wu and J. Luo, "Linear and nonlinear instabilities of Blasius boundary layer perturbed by streamwise vortices: Part 1: Steady streaks," J. Fluid Mech. 483, 225 (2003).
    • (2003) J. Fluid Mech. , vol.483 , pp. 225
    • Wu, X.1    Luo, J.2
  • 22
    • 0038128254 scopus 로고    scopus 로고
    • Linear and nonlinear instabilities of Blasius boundary layer perturbed by streamwise vortices: Part 2: Intermittent instability induced by long-wavelength Klebanoff modes
    • X. Wu and M. Choudhari, "Linear and nonlinear instabilities of Blasius boundary layer perturbed by streamwise vortices: Part 2: Intermittent instability induced by long-wavelength Klebanoff modes," J. Fluid Mech. 483, 249 (2003).
    • (2003) J. Fluid Mech. , vol.483 , pp. 249
    • Wu, X.1    Choudhari, M.2
  • 23
    • 0026805338 scopus 로고
    • Three-dimensional optimal perturbations in viscous shear flows
    • K. M. Butler and B. F. Farrell, "Three-dimensional optimal perturbations in viscous shear flows," Phys. Fluids A 4, 1637 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 1637
    • Butler, K.M.1    Farrell, B.F.2
  • 24
    • 0027392527 scopus 로고
    • Energy growth in viscous channel flows
    • S. C. Reddy and D. S. Hermingson, "Energy growth in viscous channel flows," J. Fluid Mech. 252, 209 (1993).
    • (1993) J. Fluid Mech. , vol.252 , pp. 209
    • Reddy, S.C.1    Hermingson, D.S.2
  • 27
    • 0028042634 scopus 로고
    • On the role of linear mechanisms in transition to turbulence
    • D. C. Henningson and S. C. Reddy, "On the role of linear mechanisms in transition to turbulence," Phys. Fluids 6, 1396 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1396
    • Henningson, D.C.1    Reddy, S.C.2
  • 28
    • 21844493361 scopus 로고
    • Hydrodynamics stability and turbulence: Beyond transient to a self-sustaining process
    • F. Waleffe, "Hydrodynamics stability and turbulence: Beyond transient to a self-sustaining process," Stud. Appl. Math. 95, 319 (1995).
    • (1995) Stud. Appl. Math. , vol.95 , pp. 319
    • Waleffe, F.1
  • 29
    • 0029412954 scopus 로고
    • Transition in shear flows: Nonlinear normality versus non-normal linearity
    • F. Waleffe, "Transition in shear flows: Nonlinear normality versus non-normal linearity," Phys. Fluids 7, 3060 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 3060
    • Waleffe, F.1
  • 30
    • 0030851932 scopus 로고    scopus 로고
    • On self-sustaining process in shear flows
    • F. Waleffe, "On self-sustaining process in shear flows," Phys. Fluids 9, 883 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 883
    • Waleffe, F.1
  • 31
    • 0036853852 scopus 로고    scopus 로고
    • Stability of a channel flow with vibrating walls
    • J. Floryan, J. Szumbarski, and X. Wu, "Stability of a channel flow with vibrating walls," Phys. Fluids 14, 3927 (2002).
    • (2002) Phys. Fluids , vol.14 , pp. 3927
    • Floryan, J.1    Szumbarski, J.2    Wu, X.3
  • 32
    • 4344610897 scopus 로고
    • A necessary modification for the amplitude equation of the weakly nonlinear theory of hydrodynamic instability
    • H. Zhou, "A necessary modification for the amplitude equation of the weakly nonlinear theory of hydrodynamic instability," Chin. Sci. Bull. 36, 373 (1991).
    • (1991) Chin. Sci. Bull. , vol.36 , pp. 373
    • Zhou, H.1
  • 33
    • 0027544338 scopus 로고
    • On problems in the weakly nonlinear theory of hydrodynamic stability and its improvement
    • H. Zhou and X. You, "On problems in the weakly nonlinear theory of hydrodynamic stability and its improvement," Acta Mech. Sin. 9, 1 (1993).
    • (1993) Acta Mech. Sin. , vol.9 , pp. 1
    • Zhou, H.1    You, X.2
  • 34
    • 0031104472 scopus 로고    scopus 로고
    • Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness
    • J. M. Floryan, "Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness," J. Fluid Mech. 335, 29 (1997).
    • (1997) J. Fluid Mech. , vol.335 , pp. 29
    • Floryan, J.M.1
  • 36
    • 0022061660 scopus 로고
    • Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry
    • M. E. Goldstein, "Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry," J. Fluid Mech. 154, 509 (1985).
    • (1985) J. Fluid Mech. , vol.154 , pp. 509
    • Goldstein, M.E.1
  • 37
    • 0005323784 scopus 로고
    • A finite Reynolds number approach for the prediction of boundary-layer receptivity in localized regions
    • M. Choudhari and C. L. Streett, "A finite Reynolds number approach for the prediction of boundary-layer receptivity in localized regions," Phys. Fluids A 4, 2495 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 2495
    • Choudhari, M.1    Streett, C.L.2
  • 38
    • 0032627761 scopus 로고    scopus 로고
    • Local boundary-layer receptivity to a convected free-stream disturbance
    • A. J. Dietz, "Local boundary-layer receptivity to a convected free-stream disturbance," J. Fluid Mech. 378, 291 (1999).
    • (1999) J. Fluid Mech. , vol.378 , pp. 291
    • Dietz, A.J.1
  • 39
    • 0026140484 scopus 로고
    • An investigation of transition to turbulence in bounded oscillatory Stokes layer. Part 1. Experiments
    • R. Akhavan, R. D. Kamm, and A. H. Shapiro, "An investigation of transition to turbulence in bounded oscillatory Stokes layer. Part 1. Experiments," J. Fluid Mech. 225, 395 (1991).
    • (1991) J. Fluid Mech. , vol.225 , pp. 395
    • Akhavan, R.1    Kamm, R.D.2    Shapiro, A.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.