Planform selection in two-layer Benard-Marangoni convection
patt-sol
2009-10-31 v2 Pattern Formation and Solitons
Abstract
Benard-Marangoni convection in a system of two superimposed liquids is investigated theoretically. Extending previous studies the complete hydrodynamics of both layers is treated and buoyancy is consistently taken into account. The planform selection problem between rolls, squares and hexagons is investigated by explicitly calculating the coefficients of an appropriate amplitude equation from the parameters of the fluids. The results are compared with recent experiments on two-layer systems in which squares at onset have been reported.
Cite
@article{arxiv.patt-sol/9910002,
title = {Planform selection in two-layer Benard-Marangoni convection},
author = {A. Engel and J. B. Swift},
journal= {arXiv preprint arXiv:patt-sol/9910002},
year = {2009}
}
Comments
17 pages, 7 figures, oscillatory instability included, typos corrected, references added