Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-18T21:40:55.553Z Has data issue: false hasContentIssue false

Secondary motion in convection layers generated by lateral heating of a solute gradient

Published online by Cambridge University Press:  15 April 2002

CHO LIK CHAN
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ, 85721 USA
WEN-YAU CHEN
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ, 85721 USA
C. F. CHEN
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ, 85721 USA

Abstract

The three-dimensional motion observed by Chen & Chen (1997) in the convection cells generated by sideways heating of a solute gradient is further examined by experiments and linear stability analysis. In the experiments, we obtained visualizations and PIV measurements of the velocity of the fluid motion in the longitudinal plane perpendicular to the imposed temperature gradient. The flow consists of a horizontal row of counter-rotating vortices within each convection cell. The magnitude of this secondary motion is approximately one-half that of the primary convection cell. Results of a linear stability analysis of a parallel double-diffusive flow model of the actual ow show that the instability is in the salt-finger mode under the experimental conditions. The perturbation streamlines in the longitudinal plane at onset consist of a horizontal row of counter-rotating vortices similar to those observed in the experiments.

Type
Research Article
Copyright
© 2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

With an Appendix by O. S. Kerr.