Author:
Mikishev Alexander B.,Nepomnyashchy Alexander A.
Abstract
Marangoni patterns are created by instabilities caused by thermocapillary and solutocapillary stresses on the deformable free surface of a thin liquid layer. In the present paper, we consider the influence of the insoluble surfactant on the selection and modulational instability of stationary Marangoni patterns near their onset threshold. The basic governing parameters of the problem are the Biot number characterizing the heat-transfer resistances of and at the surface, the Galileo number indicating the role of gravity via viscous forces, and the elasticity number specifying the influence of insoluble surfactant on the interfacial dynamics of the liquid. The paper includes a review of the previous results obtained in that problem as well as new ones.
Funder
Israel Science Foundation
Subject
Colloid and Surface Chemistry,Chemistry (miscellaneous)
Reference61 articles.
1. Les tourbillons cellulaires dans une nappe liquide;Rev. Gen. Sci Pures Appl.,1900
2. Surface tension as a cause of Bénard cells and surface deformation in a liquid film;Nature,1956
3. On convection cells induced by surface tension;J. Fluid Mech.,1958
4. The chemical basis of morphogenesis;Phil. Trans. R. Soc. Lond. B,1952
5. Turing-type chemical patterns in the chlorite-iodide malonic acid reaction;Physica D,1991