Two-phase binary fluids and immiscible fluids described by an order parameter

被引:450
作者
Gurtin, ME
Polignone, D
Vinals, J
机构
[1] UNIV TENNESSEE, DEPT MATH, KNOXVILLE, TN 37996 USA
[2] FLORIDA STATE UNIV, SUPERCOMP COMPUTAT RES INST, TALLAHASSEE, FL 32306 USA
[3] FLORIDA STATE UNIV, FAMU, COLL ENGN, TALLAHASSEE, FL 32310 USA
关键词
D O I
10.1142/S0218202596000341
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A unified framework for coup led Navier-Stokes/Cahn-Hilliard equations is developed using, as a basis, a balance law for microforces in conjunction with constitutive equations consistent with a mechanical version of the second law. As a numerical application of the theory, we consider the kinetics of coarsening for a binary fluid in two space dimensions.
引用
收藏
页码:815 / 831
页数:17
相关论文
共 22 条
[1]   ON SPINODAL DECOMPOSITION [J].
CAHN, JW .
ACTA METALLURGICA, 1961, 9 (09) :795-801
[2]   Mixing of a two-phase fluid by cavity flow [J].
Chella, R ;
Vinals, J .
PHYSICAL REVIEW E, 1996, 53 (04) :3832-3840
[3]   SPINODAL DECOMPOSITION IN A TWO-DIMENSIONAL FLUID MODEL [J].
FARRELL, JE ;
VALLS, OT .
PHYSICAL REVIEW B, 1989, 40 (10) :7027-7039
[4]   CONTINUUM THEORY OF THERMALLY-INDUCED PHASE-TRANSITIONS BASED ON AN ORDER-PARAMETER [J].
FRIED, E ;
GURTIN, ME .
PHYSICA D-NONLINEAR PHENOMENA, 1993, 68 (3-4) :326-343
[5]   DOMAIN GROWTH AND SCALING IN THE TWO-DIMENSIONAL LANGEVIN MODEL [J].
GAWLINSKI, ET ;
VINALS, J ;
GUNTON, JD .
PHYSICAL REVIEW B, 1989, 39 (10) :7266-7269
[6]  
GURTIN ME, IN PRESS PHYS D
[7]   EFFECT OF LOCAL PROPERTY SMEARING ON GLOBAL VARIABLES - IMPLICATION FOR NUMERICAL SIMULATIONS OF MULTIPHASE FLOWS [J].
HAJHARIRI, H ;
SHI, Q ;
BORHAN, A .
PHYSICS OF FLUIDS, 1994, 6 (08) :2555-2557
[8]   LARGE FLUCTUATIONS IN POLYMER-SOLUTIONS UNDER SHEAR [J].
HELFAND, E ;
FREDRICKSON, GH .
PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2468-2471
[9]   VOLUME OF FLUID (VOF) METHOD FOR THE DYNAMICS OF FREE BOUNDARIES [J].
HIRT, CW ;
NICHOLS, BD .
JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 39 (01) :201-225
[10]   THEORY OF DYNAMIC CRITICAL PHENOMENA [J].
HOHENBERG, PC ;
HALPERIN, BI .
REVIEWS OF MODERN PHYSICS, 1977, 49 (03) :435-479