Thermocapillary and centrifugal-buoyancy-driven motion in a rapidly rotating liquid cylinder
- 1 May 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 166 (-1) , 245-264
- https://doi.org/10.1017/s0022112086000137
Abstract
The thermocapillary flow field in a uniformly rotating liquid cylinder heated from above is calculated using linear boundary-layer theory appropriate for small values of the Ekman number. The results show that the thermocapillary flow is confined to a thin layer at the liquid-gas interface if the temperature difference across the cylinder is sufficiently small. The interior flow is a uniform rotation with the endplates.The flow due to centrifugal buoyancy is also analysed using the same theory. The magnitude of this flow compared with the thermocapillary motion is small in typical circumstances. However, it does influence the temperature field in the interior of the cylinder, whereas the thermocapillary motion does not. Full details of these flows and the first-order corrections to the interface shape are presented.Keywords
This publication has 7 references indexed in Scilit:
- Computer simulation of the steady flow in a cylindrical floating zone under low gravityJournal of Crystal Growth, 1984
- The shapes and stability of captive rotating dropsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1980
- Marangoni convection in a floating zone under reduced gravityJournal of Crystal Growth, 1980
- Experiments on surface tension driven flow in floating zone meltingJournal of Crystal Growth, 1978
- Centrifugally driven thermal convection in a rotating cylinderJournal of Fluid Mechanics, 1969
- On the steady motions produced by a stable stratification in a rapidly rotating fluidJournal of Fluid Mechanics, 1967
- The axisymmetric flow in a rotating annulus due to a horizontally applied temperature gradientJournal of Fluid Mechanics, 1967