Hybrid particle-phase field model and renormalized surface tension in dilute suspensions of nanoparticles

Hardy, Alexandra; Daddi-Moussa-Ider, Abdallah and Tjhung, Elsen (2024). Hybrid particle-phase field model and renormalized surface tension in dilute suspensions of nanoparticles. Physical Review E, 110, article no. 044606.

DOI: https://doi.org/10.1103/PhysRevE.110.044606

Abstract

We present a two-phase field model and a hybrid particle-phase field model to simulate dilute colloidal sedimentation and flotation near a liquid gas interface (or fluid-fluid interface in general). Both models are coupled to the incompressible Stokes equation, which is solved numerically using a combination of sine and regular Fourier transforms to account for the no-slip boundary conditions at the boundaries. The continuum two-phase field model allows us to analytically solve the equilibrium interfacial profile using a perturbative approach, demonstrating excellent agreement with numerical simulations. Notably, we show that strong coupling to particle dynamics can significantly alter the liquid-gas interface, thereby modifying the liquid-gas interfacial tension. In particular, we show that the renormalized surface tension is monotonically decreasing with increasing colloidal particle concentration and decreasing buoyant mass.

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