The effect of a small initial distortion of the basic flow on the subcritical transition in plane Poiseuille flow

Quarterly of Applied Mathematics

Volumn 59, Issue 4, 2001, Pages 667-699

  Sun, P ^a  

^a FORD RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LAMINAR FLOW; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER;

PERTURBATION WAVES;

TURBULENT FLOW;

EID: 0035605847     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1866553     Document Type: Article

References (25)

1. An experimental investigation of the stability of plane poiseuille flow
2. On the vibrations of the electronic plasma
3. Stability of viscous motion between parallel planes for finite disturbances
4. On the non-linear mechanics of hydrodynamic stability
5. On the non-linear mechanics of wave disturbances in stable and unstable parallel flows, Part 1, The basic behavior in plane Poiseuille flow
6. On the non-linear mechanics of wave disturbances in stable and unstable parallel flows, Part 2, The development of a solution for plane Poiseuille flow and for plane Couette flow
7. Finite-amplitude instability of parallel shear flows
8. Stability of plane Poiseuille flow to periodic disturbances of finite amplitude in the vicinity of the neutral curve
9. Die stabilität der ebenen kanalströmung gegenuber dreidimensionalen störungen von endlicher amplitude
10. Numerical experiments on stability and transition in plane channel flow
11. Periodic secondary motions in a plane channel
12. Numerical computation of the stability of plane Poiseuille flow
13. Subcritical transition to turbulence in plane channel flows
14. Spectral simulations of the laminar-turbulent transition process in plane Poiseuille flow
15. Transition to turbulence in plane Poiseuille flow and plane Couette flow
16. Secondary instability of wall-bounded shear flows
17. On perturbation methods in nonlinear stability theory
18. Instability mechanisms in shear-flow transition
19. On the secondary motion induced by oscillations in a shear flow
20. The three-dimensional nature of a boundary-layer instability
21. The evolution of disturbances in shear flows at high Reynolds numbers
22. Hydrodynamic stability
23. Some observations of the subcritical transition in plane Poiseuille flow
24. An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels