Planform selection in two-layer Benard-Marangoni convection

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.

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

References in corpus (2)

• Onset of Surface-Tension-Driven Benard Convection
• Long-Wavelength Instability in Surface-Tension-Driven Benard Convection

Cited by in corpus (5)

• Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short- and long-time evolution
• Convective instabilities in two superposed horizontal liquid layers heated laterally
• Double Rosensweig instability in a ferrofluid sandwich structure
• The Amplitude Equation for the Rosensweig Instability in Magnetic Fluids and Gels
• Instabilities and Spatio-temporal Chaos of Long-wave Hexagon Patterns in Rotating Marangoni Convection