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Phase field modelling in phase transition problems

Subject Area Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
Term from 2019 to 2023
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 426085888
 
Final Report Year 2024

Final Report Abstract

In the frame of a French-German Joint Project, we have developed and investigated numerically phase field models for almost incompressible liquid mixtures for studying the passage (in the limit of continuum approach) of the critical point - from immiscible subcritical state (two-phase states) to miscible supercritical state (monophasic state) - as well as the Faraday instability from the continuous immiscible to miscible states of binary fluids in both groundbased and microgravity environments. The problems have large industrial applications. The German team has a great experience on the phase-field modelling (for over 10 years) of different cases like the contact-line problems from an initial thin film on an inclined solid surface (formation of liquid drops), the coalescence of drops or the occurrence of Marangoni flows. The French team has the expertise on the physics and the stability of the immiscible/miscible fluid system (for more than 10 years) and the physics of near-critical flows (for almost 20 years). The two teams collaborated to share their knowledge and solve the complex unsolved problems mentioned above.

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