TY - JOUR
T1 - Simulating drop formation at an aperture by means of a Multi-Component Pseudo-Potential Lattice Boltzmann model
AU - Berghout, Pieter
AU - Van den Akker, Harry E.A.
N1 - Publisher Copyright:
© 2019
PY - 2019/2
Y1 - 2019/2
N2 - The growth and release of a pendent liquid droplet with the complex motion of the phase interface as a result of a liquid flow from an aperture has been studied by means of a Multi-Component Pseudo-Potential Lattice Boltzmann method. In this method, automatic component separation is attained by means of the Shan and Chen (1993) interaction strength G. We demonstrate that droplet formation can satisfactorily be described by combining three elements: using two components α and β (of the same density and viscosity), the G-driven separation of α and β and gravity working on just α such that it becomes heavy and behaves as a liquid, while the gravity-free β mimics a gas. We present several time sequences of the growth and release of a pendent liquid droplet. Although the simulations were just 2–D, the dynamics of the necking, the tear shape of the droplet, and the motion of the apex after pinch-off all qualitatively agree with literature. The results are interpreted in terms of non–dimensional Bond, Ohnesorge and Archimedes numbers. We find convincing agreement between the relationships derived by dimensional analysis and the numerical simulations.
AB - The growth and release of a pendent liquid droplet with the complex motion of the phase interface as a result of a liquid flow from an aperture has been studied by means of a Multi-Component Pseudo-Potential Lattice Boltzmann method. In this method, automatic component separation is attained by means of the Shan and Chen (1993) interaction strength G. We demonstrate that droplet formation can satisfactorily be described by combining three elements: using two components α and β (of the same density and viscosity), the G-driven separation of α and β and gravity working on just α such that it becomes heavy and behaves as a liquid, while the gravity-free β mimics a gas. We present several time sequences of the growth and release of a pendent liquid droplet. Although the simulations were just 2–D, the dynamics of the necking, the tear shape of the droplet, and the motion of the apex after pinch-off all qualitatively agree with literature. The results are interpreted in terms of non–dimensional Bond, Ohnesorge and Archimedes numbers. We find convincing agreement between the relationships derived by dimensional analysis and the numerical simulations.
KW - Archimedes
KW - Bond
KW - Drop formation
KW - Lattice Boltzmann Method
KW - Ohnesorge
KW - Pendent drop
UR - http://www.scopus.com/inward/record.url?scp=85059441918&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatfluidflow.2019.01.001
DO - 10.1016/j.ijheatfluidflow.2019.01.001
M3 - Article
AN - SCOPUS:85059441918
SN - 0142-727X
VL - 75
SP - 153
EP - 164
JO - International Journal of Heat and Fluid Flow
JF - International Journal of Heat and Fluid Flow
ER -