Lattice Boltzmann method to study the contraction of a viscous ligament

TL;DR

This paper uses an advanced lattice Boltzmann method to simulate and analyze the contraction dynamics of a viscous liquid ligament, comparing results with theoretical and other numerical models.

Contribution

It introduces an axisymmetric multiphase lattice Boltzmann method for simulating ligament contraction and validates it against existing models and simulations.

Findings

LBM results agree well with theoretical and other numerical models

The method accurately captures ligament retraction dynamics

Validation shows potential for complex fluid interface simulations

Abstract

We employ a recently formulated axisymmetric version of the multiphase Shan-Chen (SC) lattice Boltzmann method (LBM) [Srivastava et al, in preparation (2013)] to simulate the contraction of a liquid ligament. We compare the axisymmetric LBM simulation against the slender jet (SJ) approximation model [T. Driessen and R. Jeurissen, IJCFD {\bf 25}, 333 (2011)]. We compare the retraction dynamics of the tail-end of the liquid ligament from the LBM simulation, the SJ model, Flow3D simulations and a simple model based on the force balance (FB). We find good agreement between the theoretical prediction (FB), the SJ model, and the LBM simulations.