Finite amplitude instability of time-dependent flows

DOI10.1017/S0022112071002982zbMath0315.76023MaRDI QIDQ4076978

Stephen H. Davis

Publication date: 1971

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

Related Items (6)

The Bénard convection in a layer of fluid with a time-dependent mean temperature ⋮ Numerical simulations of the generation of Taylor-Görtler vortices during spin-down to rest in finite-length cylinders. ⋮ On Bifurcating Periodic Solutions at Low Frequency ⋮ Centrifugal instabilities during spin-down to rest in finite cylinders. Numerical experiments ⋮ The amplitude equation near the convective threshold: application to time-dependent heating experiments ⋮ The onset of free convection near the liquid-vapour critical point. II: Unsteady heating

Cites Work

• The stability of time-dependent laminar flow. Parallel flows
• On the stability of the Boussinesq equations
• The stability of time-dependent laminar flow. Flow with curved streamlines
• Nonlinear stability of the Boussines q equations by the method of energy
• 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 non-linear interaction of two disturbances in the thermal convection problem
• Instability of unsteady flows or configurations Part 1. Instability of a horizontal liquid layer on an oscillating plane
• Centrifugal instability of time-dependent flows. Part 1. Inviscid, periodic flows
• Effect of modulation on the onset of thermal convection
• The stability of steady and time-dependent plane Poiseuille flow
• The effects of gravity modulation on the stability of a heated fluid layer
• The instability of a fluid layer with time-dependent heating
• The structure of non-linear cellular solutions to the Boussinesq equations
• On the question of the preferred mode in cellular thermal convection

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