Influence of Composition Dependent Diffusion Coefficient,Viscosity and Relaxation Time on EvaporativeRayleigh-Bénard-Marangoni Instabilities Induced by SolventEvaporation in a Polymer Solution
Drying of polymer solution; Rayleigh-Bénard-Marangoni instabilities; Monotonic and oscillatory modes
Abstract :
[en] In this study, a linear stability analysis is performed for both monotonic and oscillatory modes within a horizontal polymersolution layer, which solely the solvent evaporates into air. The approach is based on general thermodynamic principles and alsoon the physics of the gas phase and its interactions with the liquid phase. Due to evaporation, the solvent mass fraction changesand cooling occurs at the liquid-gas interface. This can trigger solutal and thermal Rayleigh-Bénard-Marangoni instabilities in thesystem. For the monotonic mode, the effects of composition dependent diffusion coefficient and dynamic viscosity on the onsetof Rayleigh-Bénard-Marangoni convection are studied. Moreover, the effect of different total heights of the liquid-gas system onthe behavior of convection onset is considered. The results show that a variable diffusion coefficient and a variable viscosity cannotably change the onset of instability for a polyisobutylene (PIB)/toluene solution. Our model for the monotonic mode is alsosatisfactorily compared with an experimental study. For the oscillatory mode, where the relaxation time is also compositiondependent, we observe that very thin layers will be susceptible to an oscillatory instability when drying occurs in the system.Finally, an approximate model is derived exploiting the fact that the solutal Marangoni is by far the most dominant instabilitymechanism here. A negligible difference with respect to the full model confirms the predominance of the solutal Marangonimechanism.
Research center :
Thermodynamics of Irreversible Phenomena
Disciplines :
Mechanical engineering
Author, co-author :
Rabani, Ramin ; Université de Liège - ULiège > In silico-Model-based therapeutics, Critical Care Basic Sc.
Machrafi, Hatim ; Université de Liège - ULiège > In silico medecine-Thermodynamics of Irreversible Processes
Dauby, Pierre ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Language :
English
Title :
Influence of Composition Dependent Diffusion Coefficient,Viscosity and Relaxation Time on EvaporativeRayleigh-Bénard-Marangoni Instabilities Induced by SolventEvaporation in a Polymer Solution
Alternative titles :
[en] Belgium
Publication date :
17 August 2019
Journal title :
Microgravity Science and Technology
ISSN :
0938-0108
eISSN :
1875-0494
Publisher :
Springer, Dordrecht, Netherlands
Special issue title :
Thirty Years ofMicrogravity Research - A Topical Collection Dedicated to J. C. Legros
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