Bibliography of
Literature Related to the Effective Interfacial Tension between Miscible Fluids
1)
Korteweg, D. J. "Sur La Forme Que Prennent Les ƒquations
Du Mouvements Des Fluides Si L'on Tient Compte Des Forces Capillaires CausŽes
Par Des Variations De DensitŽ ConsidŽrables Mais Coninues Et Sur La ThŽorie De
La CapillaritŽ Dans L'hypothse D'une Variation Continue De La DensitŽ," Archives
NŽerlandaises des Sciences Exactes et Naturelles 1901, 6, 1-24.
2)
Quincke, G. "Die Oberflþchenspannung an Der Grenze Von
Alkohol Mit Wþssergen Salzlšsungen.
Bildung Von Zellen, Sphþrokristallen Und Krystallen," Annelen
der Physik 1902, 9, 1-43.
3)
Zeldovich, Y. B. "About Surface Tension of a Boundary
between Two Mutually Soluble Liquids," Zhur. Fiz. Khim. (in Russian) 1949, 23, 931-935.
4)
Cahn, J. W.; Hilliard, J. E. "Free Energy of a Nonuniform
System. I. Interfacial Free Energy," J. Chem. Phys. 1958, 28, 258-267.
5)
Giglio, M.; Vendramini, A. "Optical Measurements of
Gravitationally Induced Concentration Gradients near a Liquid-Liquid Critical
Point," Phys. Rev Lett. 1975,
35, 168-170.
6)
Cussler, E. L. "Cluster Diffusion in Liquids," American
Institute of Chemical Engineers Journal 1980,
26, 43-51.
7)
Smith, P. G.; Van De Ven, T. G. M.; Mason, S. G. "The
Transient Interfacial Tension between Two Miscible Fluids," J. Colloid
Interface Sci. 1981, 80, 302-303.
8)
Rauseo, S. N.; Easwar, N.; Maher, J. "Search for an
Instability on a Quenched-Liquid Interface," Phys. Rev. A 1987, 35, 3481-3485.
9)
Davis, H. T. A Theory of Tension at a Miscible Displacement
Front: in Numerical Simulation in Oil Recovery, Volumes in Mathematics and
Its Applications,; Wheeler, M., Ed.;
Springer-Verlag: Berlin, 1988; pp 105-110.
10)
Joseph, D. D. "Fluid Dynamics of Two Miscible Fluids with
Diffusion and Gradient Stresses," Eur. J. Mech., B/Fluids 1990, 9, 565-596.
11)
Galdi, G. P.; Joseph, D. D.; Preziosi, L.; Rionero, S.
"Mathematical Problems for Miscible, Incompressible Fluids with Korteweg
Stresses," Eur. J. Mech., B/Fluids 1991,
10, 253-267.
12)
May, S. E.; Maher, J. V. "Capillary-Wave Relaxation for a
Meniscus between Miscible Liquids," Phys. Rev. Ltts. 1991, 67, 2013-2015.
13)
Garik, P.; Hetrick, J.; Orr , B.; Barkey, D.; Ben-Jacob, E.
"Interfacial Cellular Mixing and a Conjecture on Global Deposit
Morphology," Phys. Rev. Ltts 1991,
66, 1606-1609.
14)
Castellanos, A.; Gonz‡lez, A. "Interfacial
Electrohydrodynamic Instability:
The Kath and Hoburg Model Revisited," Phys. Fluids A 1992, 4, 1307-1309.
15)
Joseph, D. D.; Renardy, Y. Y. Fundamentals of Two-Fluid
Dynamics. Part Ii. Lubricated
Transport, Drops and Miscible Fluids;
Springer: New York, 1992.
16)
Ma, W. J.; Keblinski, P.; Maritan, A.; Koplik, J.; Banavar, J.
R. "Dynamical Relaxation of the Surface Tension of Miscible Phases," Phys.
Rev. Ltts. 1993, 71, 3465-3468.
17)
Rousar, I.; Nauman, E. B. "A Continuum Analysis of
Surface Tension in Nonequilibrium Systems," Chem. Eng. Comm. 1994, 129, 19-28.
18)
Mungall, J. E. "Interfacial Tension in Miscible Two-Fluid
Systems with Linear Viscoelastic Rheology," Phys. Rev. Ltts. 1994, 73, 288-291.
19)
Antanovskii, L. K. "A Phase Field Model of
Capillarity," Phys. Fluids 1995,
7, 747-753.
20)
Joseph, D. D.; Huang, A.; Hu, H. "Non-Solenoidal Velocity
Effects and Korteweg Stresses in Simple Mixtures of Incompressible
Fluids," Physica D 1996,
97, 104-125.
21)
Petitjeans, P.; Maxworthy, T. "Miscible Displacements in
Capillary Tubes. Part 1. Experiments," J. Fluid Mech. 1996, 326, 37-56.
22)
Petitjeans, P. "Une Tension De Surface Pour Les Fluides
Miscibles," C.R. Acad. Sci. Paris 1996,
322, 673-679.
23)
Joseph, D. D.; Huang, A.; Hu, H. "Non-Solenoidal Velocity
Effects and Korteweg Stresses in Simple Mixtures of Incompressible
Fluids," Physica D 1996,
97, 104-125.
24)
Vailati, A.; Giglio, M. "Q Divergence of Nonequilibrium
Fluctuations and Its Gravity Induced Frustration in a Temperature Stressed
Liquid Mixture," Phys. Rev. Lett. 1996,
77, 1484-1487.
25)
Chen, C.-Y.; Meiburg, E. "Miscible Displacements in
Capillary Tubes. Part 2. Numerical Simulations," J. Fluid Mech. 1996, 326, 57-90.
26)
Antanovskii, L. K. "Microscale Theory of Surface
Tension," Phys. Rev. E 1996,
54, 6285-6290.
27)
Petitjeans, P. "Fluides Non Miscible/Fluides
Miscibles: Des Similitudes
IntŽressantes," C.R. Acad. Sci. Paris, Serie II b 1997, 325, 587-592.
28)
Liao, T. Y.; Joseph, D. D. "Sidewall Effects in the Smoothing
of an Initial Discontinuity of Concentration," J. Fluid Mech. 1997, 342, 37-51.
29)
Cussler, E. L. Diffusion: Mass Transfer in Fluid Systems; Cambridge: London, 1997.
30)
Vailati, A.; Giglio, M. "Giant Fluctuations in a Free
Diffusion Process," Nature 1997,
390, 262-265.
31)
Lowengrub, J.; Truskinovsky, L. "Quasi-Incompressible
Cahn-Hilliard Fluids and Topological Transitions," Proc. Roy. Soc.
London A 1998, 454, 2617-2654.
32)
Vailati, A.; Giglio, M. "Nonequilibrium Fluctuations in
Time-Dependent Diffusion Processes," Phys. Rev. E 1998, 58, 4361-4371.
33)
Vlad, D. H.; Maher, J. V. "Dissolving Interfaces in the
Presence of Gravity," Physical Review E. 1999, 59, 476-478.
34)
Gupta, R.; Mauri, R.; Shinnar, R. "Phase Separation of
Liquid Mixtures in the Presence of Surfactants," Ind. Eng. Chem. Res. 1999, 38, 2418-2424.
35)
Brogioli, D.; Vailati, A.; Giglio, M. "Universal Behavior
of Nonequilibrium Fluctuations in Free Diffusion Processes," Phys. Rev.
E 2000, 61, R1-R4.
36)
Brogioli, D.; Vailati, A.; Giglio, M. "Giant Fluctuations
in Diffusion Processes," J. Phys.: Condens. Matter 2000, 12, A39ÐA46.
37)
Cicuta, P.; Vailati, A.; Giglio, M. "Equilibrium and
Nonequilibrium Fluctuations at the Interface between Two Fluid Phases," phys.
Rev. E 2000, 62, 4920-4926.
38)
Texier-Picard, R.; Pojman, J. A.; Volpert, V. A. "Effect
of Interfacial Tension on Propagating Polymerization Fronts," Chaos 2000, 10, 224-230.
39)
Denniston, C.; Robbins, M. O. "Molecular and Continuum
Boundary Conditions Fro a Miscible Binary Fluid," Phys Rev Lett. 2001, 87, 178302.
40)
Santonicola, G.; Mauri, R.; Shinnar, R. "Phase Separation
of Initially Inhomogeneous Liquid Mixtures," Ind. Eng. Chem. Res. 2001, 40, 2004-2010.
41)
Chen, C.-Y.; Wang, L.; Meiburg, E. "Miscible Droplets in
a Porous Medium and the Effect of Korteweg Stresses," Phys. Fluids 2001, 13, 2447-2456.
42)
Meiburg, E.; Chen, C.-Y.; Wang, L.-L. "The Dynamics of
Miscible Interfaces and the Effects of Korteweg Stresses," Trans. Aero.
Astro. Soc. R. O. C. 2001, 33,
7-?
43)
Cicuta, P.; Vailati, A.; Giglio, M. "Capillary-to-Bulk
Crossover of Nonequilibrium Fluctuations in the Free Diffusion of a
near-Critical Binary Mixture," Applied Optics 2001, 40, 4140-4146.
44)
Volpert, V. A.; Pojman, J. A.; Texier-Picard, R.
"Convection Induced by Composition Gradients in Miscible Systems," C.
R. Mecanique 2002, 330, 353-358.
45)
Chen, M. H.; Nauman, E. B. "Non-Linear Diffusion with
Concentration-Driven Flows in Miscible Systems," Polymer 2003, 44, 6707-6712.
46)
Mauri, R.; Califano, F.; Calvi, E.; Gupta, R.; Shinnar, R.
"Convection-Driven Phase Segregation of Deeply Quenched Liquid
Mixtures," J. Chem. Phys. 2003,
118, 8841-8846.
47)
Chen, C.-Y.; Meiburg, E. "Miscible Displacements in
Capillary Tubes: Influence of Korteweg Stresses and Divergence Effects," Phys.
Fluids 2003, 14, 2052-2058.
48)
49)
Bessonov, N.; Pojman, J. A.; Volpert, V. "Modelling of
Diffuse Interfaces with Temperature Gradients," J. Engineering Math. 2004, 49, 321-338.
50)
Bessonov, N.; Pojman, J.; Volpert, V. "Modelling of
Miscible Liquids and Microgravity Experiments," Matapli (Journal of Le
SociŽtŽ de MathŽmatiques
AppliquŽes &
Industrielle) 2004, 75,
51-66.
51)
Califano, F.; Mauri, R.; Shinnar, R. "Large Scale,
Unidirectional Convection During Phase Separation of a Density Matched Liquid
Mixture," Phys. Fluids 2005,
17, 094109.
52)
Lamorgese, A.; Mauri, R. "Nucleation and Spinodal
Decomposition of Liquid Mixtures," Phys. Fluids 2005, 17, 034107.
53)
Bessonov, N.; Volpert, V. A.; Pojman, J. A.; Zoltowski, B. D.
"Numerical Simulations of Convection Induced by Korteweg Stresses in
Miscible Polymer- Monomer Systems," Microgravity Sci. Tech. 2005, XVII, 8-12.
54)
Sugii, Y.; Okamoto, K.; Hibara, A.; Tokeshi, M.; Kitamori, T.
"Effect of Korteweg Stress in Miscible Liquid Two-Layer Flow in a
Microfluidic Device," J. Visualization 2005, 8, 117-124.
55)
Chen, C.-Y.; Liu, Y.-C. "Fingering Instabilities of a
Miscible Fluid Annulus on a Rotating Hele-Shaw Cell," Int. J. Dyn.
Fluids 2005, 1, 55-66.
56)
Lamorgese, A. G.; Mauri, R. "Mixing of Macroscopically
Quiescent Liquid Mixtures," Phys. Fluids 2006, 18, 044107.
57)
Gaponenko, Y.; Volpert, V.; Zen'kovskaya, S.; Pojman, J.
"Effect of High-Frequency Vibration on Convection in Miscible
Fluids," J. Appl. Mech.& Tech. Phys. 2006, 47, 190-198.
58)
Pojman, J. A.; Whitmore, C.; Turco Liveri, M. L.;
Lombardo, R.; Marszalek, J.; Parker, R.; Zoltowski, B. "Evidence for the
Existence of an Effective Interfacial Tension between Miscible Fluids:
Isobutyric Acid-Water and 1-Butanol-Water in a Spinning-Drop Tensiometer,"
Langmuir 2006, 22, 2569-2577.
59)
Pojman, J. A.; Bessonov, N.; Volpert, V. "Miscible
Fluids in Microgravity (MFMG): A
Zero-Upmass Investigation on the International Space Station," Microgravity
Sci. Tech. 2007, XIX,
60)