SPH simulations of binary droplet deformation considering the Fowkes theory

被引:9
作者
Natsui, Shungo [1 ]
Tonya, Kazui [2 ]
Nogami, Hiroshi [1 ]
Kikuchi, Tatsuya [2 ]
Suzuki, Ryosuke O. [2 ]
机构
[1] Tohoku Univ, Inst Multidisciplinary Res Adv Mat, Aoba Ku, Katahira 2-1-1, Sendai, Miyagi 9808577, Japan
[2] Hokkaido Univ, Div Mat Sci & Engn, Fac Engn, Kita Ku, Kita 13 Nishi 8, Sapporo, Hokkaido 0608628, Japan
关键词
SPH; Binary droplet; Interfacial tension; Fowkes hypothesis; SMOOTHED PARTICLE HYDRODYNAMICS; SURFACE-TENSION; NUMERICAL-SIMULATION; GAS-LIQUID; SLAG; COPPER; FLOWS; MODEL; INTERFACE; BEHAVIOR;
D O I
10.1016/j.ces.2020.116035
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
To analyze the complex droplet transient deformation involving two immiscible phases, a practical multi -interfacial tension model has been introduced in the SPH framework. The attraction, which operates on the interface between the different phases is explicitly defined as London dispersion force using the Fowkes theoretical model, and the interfacial tension can be calculated using the sum of the attraction magnitudes corresponding to the surrounding particles. The analytical solution demonstrated good agreement with the simulated results corresponding to the macroscopic multicontact angles and nature of interphase interfacial forces. This simple model is widely applicable to the dynamic analysis of capillary forces involving two or more liquids, and we demonstrated its application to the simulation of the deformation behavior of a binary droplet that contacts a solid. The solid-liquid-liquid contact angle is not sufficient to predict the equilibrium morphology, and the momentum exchange between the two liquids should be considered. (c) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数:13
相关论文
共 60 条
[1]   Conservative phase-field lattice-Boltzmann model for ternary fluids [J].
Abadi, Reza Haghani Hassan ;
Rahimian, Mohammad Hassan ;
Fakhari, Abbas .
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 374 :668-691
[2]   Investigation of Origin of Attached Cu-Ag Droplets to Solid Particles During High-Temperature Slag/Copper/Spinel Interactions [J].
Bellemans, Inge ;
Dewilde, Evelien ;
Blanpain, Bart ;
Moelans, Nele ;
Verbeken, Kim .
METALLURGICAL AND MATERIALS TRANSACTIONS B-PROCESS METALLURGY AND MATERIALS PROCESSING SCIENCE, 2017, 48 (06) :3058-3073
[3]   A CONTINUUM METHOD FOR MODELING SURFACE-TENSION [J].
BRACKBILL, JU ;
KOTHE, DB ;
ZEMACH, C .
JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 100 (02) :335-354
[4]   Surface tension and wetting effects with smoothed particle hydrodynamics [J].
Breinlinger, Thomas ;
Polfer, Pit ;
Hashibon, Adham ;
Kraft, Torsten .
JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 243 :14-27
[5]   FREE ENERGY OF A NONUNIFORM SYSTEM .1. INTERFACIAL FREE ENERGY [J].
CAHN, JW ;
HILLIARD, JE .
JOURNAL OF CHEMICAL PHYSICS, 1958, 28 (02) :258-267
[6]   Dynamic and equilibrium interfacial phenomena in liquid steel-slag systems [J].
Chung, Y ;
Cramb, AW .
METALLURGICAL AND MATERIALS TRANSACTIONS B-PROCESS METALLURGY AND MATERIALS PROCESSING SCIENCE, 2000, 31 (05) :957-971
[7]   Numerical simulation of interfacial flows by smoothed particle hydrodynamics [J].
Colagrossi, A ;
Landrini, M .
JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 191 (02) :448-475
[8]   Microscale simulation of settler processes in copper matte smelting [J].
Fagerlund, KO ;
Jalkanen, H .
METALLURGICAL AND MATERIALS TRANSACTIONS B-PROCESS METALLURGY AND MATERIALS PROCESSING SCIENCE, 2000, 31 (03) :439-451
[9]   OCCURRENCE AND SPECIATION OF COPPER IN SLAGS OBTAINED DURING THE PYROMETALLURGICAL PROCESSING OF CHALCOPYRITE CONCENTRATES AT THE HUELVA SMELTER (SPAIN) [J].
Fernandez-Caliani, J. C. ;
Rios, G. ;
Martinez, J. ;
Jimenez, F. .
JOURNAL OF MINING AND METALLURGY SECTION B-METALLURGY, 2012, 48 (02) :161-171
[10]   ATTRACTIVE FORCES AT INTERFACES [J].
FOWKES, FM .
INDUSTRIAL AND ENGINEERING CHEMISTRY, 1964, 56 (12) :40-&