The onset of nonpenetrative convection in a suddenly cooled layer of fluid

Ihle, CF; Niño Y.

Abstract

Conditions for the onset of nonpenetrative convection in a horizontal Boussinesq fluid layer subject to a step change in temperature are studied using propagation theory. A wide range of Prandtl numbers and two different kinematic boundary conditions are considered. It is shown that for high Rayleigh numbers, critical conditions for the onset of convective motion reproduce exactly those for the unsteady Rayleigh-Bénard instability. Present results extend those of previous research and show a tendency of the rigid-rigid and free-rigid critical curves to converge for low Prandtl numbers. Comparison between present and previously reported results on critical conditions for the onset of instabilities and onset time using different methods yields good agreement on a middle to high Prandtl number range. A ratio of 10 between experimentally measured and theoretically predicted onset times is suggested for stress-free bounded systems. © 2005 Elsevier Ltd. All rights reserved.

Más información

Título según WOS: The onset of nonpenetrative convection in a suddenly cooled layer of fluid
Título según SCOPUS: The onset of nonpenetrative convection in a suddenly cooled layer of fluid
Título de la Revista: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
Volumen: 49
Número: 07-ago
Editorial: PERGAMON-ELSEVIER SCIENCE LTD
Fecha de publicación: 2006
Página de inicio: 1442
Página final: 1451
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0017931005006058
DOI:

10.1016/j.ijheatmasstransfer.2005.09.025

Notas: ISI, SCOPUS - ISI