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Merkt, Domnic; Bestehorn, Michael

Bénard-Marangoni convection in a strongly evaporating fluid. (English) Zbl 1028.76007

Physica D 185, No. 3-4, 196-208 (2003).
Summary: We consider a volatile fluid with a free surface. If the evaporation rate is large enough, the temperature gradient caused by latent heat may destabilize the conducting motionless state, and convection sets in. The conditions for instability are computed by means of a linear stability analysis of full two-layer system. A three-dimensional numerical integration of one-layer system with large effective Biot number shows the evolution of squares as a secondary bifurcation rather close above onset. Time-dependent chaotic states are obtained for larger temperature gradients. We also study the influence of large Biot number on wave length selection and pattern morphology.

Cited in 7 Documents

MSC:

76E06 Convection in hydrodynamic stability
76T10 Liquid-gas two-phase flows, bubbly flows
80A22 Stefan problems, phase changes, etc.

Keywords:

free surface; temperature gradient; volatile fluid; latent heat; linear stability analysis; two-layer system; one-layer system; large effective Biot number; secondary bifurcation; time-dependent chaotic states; wave length selection; pattern morphology
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References:

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