Linear instability of plane Couette and Poiseuille flows

Abstract

It is shown that linear instability of plane Couette flow can take place even at finite Reynolds numbers which meets with known experimental data. This new result of the linear theory of hydrodynamic stability is obtained only due by abandoning traditional assumption of the longitudinal periodicity of disturbances in the flow direction.

13 pages, 3 figures

References in corpus (3)

• Triggering rogue waves in opposing currents
• Large scale flows in transitional plane Couette flow: a key ingredient of the spot growth mechanism
• Hagen-Poiseuille Flow Linear Stability Paradox Resolving and Viscous Dissipative Mechanism of the Turbulence Emergence in the Boundary Layer

Cited by in corpus (3)

• Exact Time-Dependent Solution to the Three-Dimensional Euler- Helmholtz and Riemann-Hopf Equations for Vortex Flow of a Compressible Medium and the Sixth Millennium Prize Problem
• Dissipative instability of shock waves
• Stability analysis of transitional flows based on disturbance magnitude