Transition from hexagons to rolls in convection in fluids under non-Boussinesq conditions

DOI10.1017/S0022112092000831zbMath0850.76216MaRDI QIDQ3991465

No author found.

Publication date: 28 June 1992

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

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Experimental work for problems pertaining to fluid mechanics (76-05)

Related Items (4)

Linear and weakly nonlinear analysis of Rayleigh–Bénard convection of perfect gas with non-Oberbeck–Boussinesq effects ⋮ Stability of hexagonal pattern in Rayleigh–Bénard convection for thermodependent shear-thinning fluids ⋮ Strong non-Boussinesq effects near the onset of convection in a fluid near its critical point ⋮ Study of a model of thermal convection in cylindrical containers

Cites Work

• Thermoconvective instability in a bounded cylindrical fluid layer
• The transition from roll to square-cell solutions in Rayleigh–Bénard convection
• On the tendency towards hexagonal cells in steady convection
• Nonlinear thermal convection with finite conducting boundaries
• Nonlinear convection in a layer with nearly insulating boundaries
• Derivation of the amplitude equation at the Rayleigh–Bènard instability
• The amplitude equation near the convective threshold: application to time-dependent heating experiments
• On Thermal Convection in a Large Box
• Defects in roll-hexagon competition
• On the stability of steady finite amplitude convection
• Convection in a box: linear theory
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Distant side-walls cause slow amplitude modulation of cellular convection
• Effects of Surface Curvature and Property Variation on Cellular Convection
• Finite bandwidth, finite amplitude convection
• On the Stability of Two‐Dimensional Convection in a Layer Heated from Below
• On the occurrence of cellular motion in Bénard convection
• The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below
• On the question of the preferred mode in cellular thermal convection

This page was built for publication: Transition from hexagons to rolls in convection in fluids under non-Boussinesq conditions