J. Phys. I France
Volume 2, Numéro 4, April 1992
Page(s) 433 - 441
DOI: 10.1051/jp1:1992155
J. Phys. I France 2 (1992) 433-441

The effect of heat currents on the stability of the liquid solid interface

R. M. Bowley and P. Nozières

Institute Laue-Langevin, BP 156, 38042 Grenoble Cedex 9, France

(Received 7 October 1991, accepted 6 January 1992)

Rapid changing of the temperature of a liquid in equilibrium with its solid can lead to instabilities of the interface in two ways : the change in pressure, induced by a temperature change at the interface, leads to a uniaxial stress which can cause a Grinfeld instability at the capillary wavelength ; a temperature gradient is set up which modifies the effective gravity at the interface. When the effective gravity becomes negative, the interface is unstable at very long wavelengths. For a superfluid, such as 4He, the situation is more complex. If we ignore surface dissipation, there is still a small critical temperature gradient across the solid above which the interface is unstable. However surface dissipation - in particular the growth resistance - pushes the instability to huge temperature gradients, ones which cannot be realised experimentally. The only instability that can be seen is caused by uniaxial stress.

© Les Editions de Physique 1992

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.