Theory of hydrodynamic convection in soap films

R. Bruinsma

Physica A: Statistical Mechanics and its Applications, 1995, vol. 216, issue 1, 59-76

Abstract: We propose a hydrodynamic theory for gravity-driven convection in vertical mobile soap films. Under steady-state conditions the equations reduce to the classical theory of film drainage and pull-out. We demonstrate that the steady-state film profile for drainage can be unstable against lateral convection. The unstable mode — which is localized near the film border — is found to incorporate the physical characteristics of the “marginal regeneration” phenomenology proposed by Mysels. We discuss the mathematical relationship between soap film convection and Rayleigh-Benard convection in thermal cells and suggest experiments to test the analogy.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:216:y:1995:i:1:p:59-76

DOI: 10.1016/0378-4371(95)00023-Z

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