Planform selection in two-layer Benard-Marangoni convection

Details Planform selection in two-layer Benard-Marangoni convection Planform selection in two-layer Benard-Marangoni convection

1999-10-05

arxiv.org/abs/patt-sol/9910002v2

Nonlinear Sciences

Pattern Formation and Solitons

17 pages, 7 figures, oscillatory instability included, typos corrected, references added

Scientific paper

10.1103/PhysRevE.62.6540

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.

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