The long-wave instability of a defect in a uniform parallel shear
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Publication:3783719
DOI10.1017/S002211208800093XzbMath0642.76059MaRDI QIDQ3783719
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Publication date: 1988
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
linearized eigenvalue problemunstable eigenfunctionsconvergent expansionstransition zoneunbounded, plane Couette flowinviscid, parallel, incompressible, free shear flow
Related Items (5)
The Ginzburg–Landau equation for interfacial instabilities ⋮ Transient growth and minimal defects: Two possible initial paths of transition to turbulence in plane shear flows ⋮ Centrifugal instability of Couette flow over a wavy wall ⋮ Nonlinear instability of viscous plane Couette flow Part 1. Analytical approach to a necessary condition ⋮ Nonlinear dynamics of forced baroclinic critical layers II
Cites Work
- The stability of free boundary layers between two uniform streams
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- 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
- The instability to long waves of unbounded parallel inviscid flow
- Transition to turbulence in plane Poiseuille and plane Couette flow
- Contribution to the Nonlinear Stability Theory of Inviscid Shear Layers
- A mechanism for instability of plane Couette flow and of Poiseuille flow in a pipe
- On the inviscid instability of the hyperbolictangent velocity profile
- On finite amplitude oscillations in laminar mixing layers
- On the high Reynolds number flow over a wavy boundary
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