Simulation of transient Rayleigh-Bénard-Marangoni convection induced by evaporation

Abstract : Numerical simulation of thermal convection induced by solvent evaporation in an initially isothermal fluid is considered. Both thermocapillarity and buoyancy driving forces are taken into account, and a criterium based on the Peclet number is used to analyze the stability of this transient problem. Critical Marangoni and Rayleigh numbers are obtained for a large range of Biot and Prandtl numbers. Results of the non-linear simulations are compared with a previous linear transient stability analysis based on a non-normal approach and with visualizations performed during polyisobutylene (PIB)/toluene solutions drying experiments. A scaling analysis is developed for the Marangoni problem and correlations are derived to predict the order of magnitude of temperature and velocity as a function of Bi, Ma and Pr numbers.
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O. Touazi, Eric Chénier, F. Doumenc, B. Guerrier. Simulation of transient Rayleigh-Bénard-Marangoni convection induced by evaporation. International Journal of Heat and Mass Transfer, Elsevier, 2010, 53 (4), pp.656--664. ⟨10.1016/j.ijheatmasstransfer.2009.10.029⟩. ⟨hal-00691272⟩

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