Simulation Of Multiphase Flows
With Variable Surface Tension Using The
Lattice Boltzmann Method
Author(s)
S. Stensholt
Abstract
Methods for implementing variable surface tension on two popular Lattice–
Boltzmann models, the original gradient-based chromodynamic model, and the
Shan–Chen model, are explored and examined. The experiment, inspired by the
work of Greenspan, consists of reducing the surface tension at two poles of a
circular droplet due to a diffusive solute (surfactant). Both Lattice Boltzmann
models are able to simulate the expected initial deformation where the droplet
is stretched along the pole axis, and contracts at the equator. We observed no
furrowing to the droplet, which verifies the work of He and Dembo who concluded
that variation in surface tension cannot alone account for such furrowing.We were
able to simulate the process as the surfactant diffuses over the entire interface and
the spatial variation in surface tension vanishes. The droplet reverts back to its
original circular shape with the overall surface tension reduced. Variable surface
tension is easier to implement with the chromodynamic model. The physically
direct Shan–Chen model, which has superior isotropic qualities, can also be used
for variable surface tension. However, coordinating the decline of the surface
tension with the reduction in the separation forces is a more delicate matter, and
the diffusivity of the interface increases if the surface tension is weakened.
Keywords: Lattice Boltzmann, variable surface tension, droplet deformation.
1 Introduction
The study of fluid flow with variable surface tension has seen multiple applications,
including biological fields related to cell division [4–6], and oil reservoir dynamics.
Keywords
Lattice Boltzmann, variable surface tension, droplet deformation
Related Book
Other papers in this volume
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