74th Annual Meeting of the APS Division of Fluid Dynamics (November 21, 2021 — November 23, 2021)

V0052: Numerical simulation on topological change of viscous fingering in a partially miscible system

Authors

• Shoji Seya, Tokyo University of Agriculture and Technology, Department of Chemical Engineering
• Ryuta Suzuki, Tokyo University of Agriculture and Technology, Department of Chemical Engineering
• Yuichiro Nagatsu, Tokyo University of Agriculture and Technology, Department of Chemical Engineering
• Takahiko Ban, Osaka University, Department of Materials Engineering Science
• Manoranjan Mishra, Indian Institute of Technology, Ropar, Department of Mathematics

DOI: https://doi.org/10.1103/APS.DFD.2021.GFM.V0052

We develop coupled evolution equations for viscous fingering (VF) and phase separation in partially miscible binary systems by combining a simple double-well thermodynamic free energy and Korteweg force with a classical miscible VF model. The model system is numerically solved using a Fourier pseudospectral method. The VF pattern transition into a droplet formation pattern by the spinodal decomposition effect is demonstrated. It is observed that the simultaneous increases in the depth of the energy minimum, in the difference in the equilibrium concentrations, and in the Korteweg force, enhance the droplet growth.