TY - JOUR
T1 - Improving the staircase approximation for wettability implementation of phase-field model
T2 - Part 2 – Three-component permeation
AU - Zarareh, Amin
AU - Burnside, Stephen B.
AU - Khajepor, Sorush
AU - Chen, Baixin
N1 - Funding Information:
This work has received funding from the European Union's Horizon 2020 research and innovation program under Grant Agreement No. 654462 (STEMM-CCS) and the Research Council of Norway through the CLIMIT program funded project No. 254711 (Baymode). The first and second authors gratefully acknowledge support from the Heriot-Watt James Watt scholarship and UK EPSRC Studentship No. 1963558 .
Publisher Copyright:
© 2022 The Authors
PY - 2022/3/1
Y1 - 2022/3/1
N2 - In this study, the displacement dynamics of compound droplet inside porous medium with complex structure is numerically investigated by the newly-proposed wetting boundary treatments in Part 1 [1]. The compound droplet consists of two immiscible fluids surrounded by another fluid forming a three-phase system. To investigate the compound droplet's penetration and spreading in two regimes, the conservative phase-field model is solved via the lattice Boltzmann method (LBM) at different wettability and governing non-dimensional numbers including the Reynolds number (25-100), Weber number (100-1000), and density ratio (7.5-750). Moreover, the permeation and spreading of each droplet, without the presence of the other in the binary system, is compared with those of ternary. It is revealed that the way the penetration is influenced by the variation of surface tension, wettability, and density ratio completely depends on the value of Bond number and the capillary or gravitational-dominant regimes. Furthermore, it appears that in the capillary-dominant regime, the migration pattern of one droplet cannot be evaluated independent of the other, since the factors affecting the capillary pressure and viscous coupling on one, affects the penetration and spreading of the other. Finally, it is identified that ternary penetration is slower than binary and the presence of the other droplet confines the early stage spreading in the ternary system.
AB - In this study, the displacement dynamics of compound droplet inside porous medium with complex structure is numerically investigated by the newly-proposed wetting boundary treatments in Part 1 [1]. The compound droplet consists of two immiscible fluids surrounded by another fluid forming a three-phase system. To investigate the compound droplet's penetration and spreading in two regimes, the conservative phase-field model is solved via the lattice Boltzmann method (LBM) at different wettability and governing non-dimensional numbers including the Reynolds number (25-100), Weber number (100-1000), and density ratio (7.5-750). Moreover, the permeation and spreading of each droplet, without the presence of the other in the binary system, is compared with those of ternary. It is revealed that the way the penetration is influenced by the variation of surface tension, wettability, and density ratio completely depends on the value of Bond number and the capillary or gravitational-dominant regimes. Furthermore, it appears that in the capillary-dominant regime, the migration pattern of one droplet cannot be evaluated independent of the other, since the factors affecting the capillary pressure and viscous coupling on one, affects the penetration and spreading of the other. Finally, it is identified that ternary penetration is slower than binary and the presence of the other droplet confines the early stage spreading in the ternary system.
KW - Droplet interaction
KW - Lattice Boltzmann method
KW - Phase-field
KW - Porous media
KW - Three-phase flow
KW - Wetting condition
UR - http://www.scopus.com/inward/record.url?scp=85123637228&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2022.01.005
DO - 10.1016/j.camwa.2022.01.005
M3 - Article
AN - SCOPUS:85123637228
SN - 0898-1221
VL - 109
SP - 100
EP - 124
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
ER -