Dynamics of Convective Instabilities in a Horizontal Liquid Layer
- 6 November 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 41 (19), 1293-1296
- https://doi.org/10.1103/PhysRevLett.41.1293
Abstract
A system of nonlinear equations describing the single-mode dynamics of both the Rayleigh-Bénard instability (RBI) and the Soret-driven instability (SDI) is derived. The system predicts saturation effects on the steady-state vertical temperature (concentration) gradient for the RBI (SDI), and transient relaxation oscillations above a given threshold. Good quantitative agreement is found with the experimental results. The possibility of observing giant pulses analogous to those observed in solid-state-laser transients is suggested.Keywords
This publication has 18 references indexed in Scilit:
- Acoustic observation of critical slowing for the convectional instability by configuration inversionPhysics Letters A, 1978
- Buoyancy-Driven Instability in a Dilute Solution of MacromoleculesPhysical Review Letters, 1977
- Heat transport and critical slowing down near the Rayleigh-Bénard instability in cylindrical containersPhysics Letters A, 1977
- Convective instability: A physicist's approachReviews of Modern Physics, 1977
- Optical study of a convective instability in a binary liquid mixture heated from aboveOptics Communications, 1977
- Soret-Type Motion of Macromolecules in SolutionPhysical Review Letters, 1977
- Time dependent velocity in Rayleigh-Bernard convection: A transition to turbulenceOptics Communications, 1976
- Thermal Diffusion and Convective Stability. II. An Analysis of the Convected FluxesPhysics of Fluids, 1972
- Thermal Diffusion and Convective StabilityPhysics of Fluids, 1972
- On the non-linear mechanics of hydrodynamic stabilityJournal of Fluid Mechanics, 1958