Planform of convection with strongly temperature-dependent viscosity
- 1 December 1983
- journal article
- research article
- Published by Taylor & Francis in Geophysical & Astrophysical Fluid Dynamics
- Vol. 27 (1-2) , 73-85
- https://doi.org/10.1080/03091928308210121
Abstract
This paper experimentally investigates the convective planform near critical in a fluid layer whose temperature-dependent viscosity varies from top to bottom by up to a factor of 1500. Convection occurs in three different planforms: rolls, hexagons and squares. The square planform, which appears only for fluids with viscosity variation greater than about 50, replaces the hexagonal convection pattern as the Rayleigh number increases much above critical. The large amplitude of hexagonal convection with strong viscosity variation precludes studying the hexagon-square transition with perturbation methods of the type used to study the hexagon-roll transitions at smaller viscosity variations.Keywords
This publication has 9 references indexed in Scilit:
- Onset of convection in a variable-viscosity fluidJournal of Fluid Mechanics, 1982
- Nonlinear convection in a layer with nearly insulating boundariesJournal of Fluid Mechanics, 1980
- Experiments on the stability of convection rolls in fluids whose viscosity depends on temperatureJournal of Fluid Mechanics, 1978
- Thermal convection with strongly temperature-dependent viscosityJournal of Fluid Mechanics, 1976
- Instabilities of convection rolls in a high Prandtl number fluidJournal of Fluid Mechanics, 1971
- Experiments on the cellular structure in bénard convectionInternational Journal of Heat and Mass Transfer, 1970
- Evolution of two-dimensional periodic Rayleigh convection cells of arbitrary wave-numbersJournal of Fluid Mechanics, 1968
- The stability of finite amplitude cellular convection and its relation to an extremum principleJournal of Fluid Mechanics, 1967
- Finite amplitude cellular convectionJournal of Fluid Mechanics, 1958