78th Annual Meeting of the APS Division of Fluid Dynamics (Nov 23 — 25, 2025)

P002: Phase Mandala : Unbalanced Diffusion

Authors
  • Ching-Yao Chen, National Yang Ming Chiao Tung University
  • Priya Verma , National Yang Ming Chiao Tung University
  • Ryuta X. Suzuki , Tokyo University of Agriculture and Technology
  • Yuichiro Nagatsu , Tokyo University of Agriculture and Technology
  • Manoranjan Mishra Dr, Indian Institute of Technology Ropar

Phase separation with viscously stable displacement is simulated based on the Hele-Shaw-Cahn-Hilliard model. The injected fluid mixture undergoes spinodal decomposition to separate into two equilibrium phases, i.e., the ambient (purple) fluid and the viscous (red) fluid, whose phase variables are c=1 and 0, respectively. Depending on the value of the phase variable of injected fluid, the formation of fully separated droplets or threads is distinct, as four conditions shown in the central image, because of the imbalance of uphill diffusion and downhill diffusion, which tend to approach c=1 and c=0, respectively. The viscosity contrast triggers fingering-like phase separation, as corresponding patterns are shown in the surrounding images.

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