Marangoni instability in spherical shells
Abstract
The onset of the Marangoni instability in a fluid contained between concentric spherical surfaces is investigated theoretically, proposing a correction to the analysis of Pirotte and Lebon (1988). It is argued that a factor must be added to the dimensionless energy equation. Numerical results are presented in tables and graphs, and it is shown that, for fixed values of the heattransfer coefficient h2, the critical Marangoni number Ma(c) is generally a decreasing function of the ratio of the inner to the outer radius. For h2 = 0, however, Ma(c) increases slowly as a function of the inner radius r1 when r1 is greater than 2, tending to infinity as r1 goes to zero. In a reply by Pirotte and Lebon, the nondimensionalization applied in their original paper is explained, and it is concluded that the results obtained there are correct if the proper scalingspace variable is applied. Thus the original results complement those obtained with the added factor in the present paper.
 Publication:

Applied Microgravity Technology
 Pub Date:
 June 1989
 Bibcode:
 1989ApMT....2..106H
 Keywords:

 Interfacial Tension;
 Marangoni Convection;
 Spherical Shells;
 Factor Analysis;
 Fluid Boundaries;
 Microgravity Applications;
 Numerical Analysis;
 Space Commercialization;
 Fluid Mechanics and Heat Transfer