Nonlinear rupture of free films
Tóm tắt
A free viscous film is subject to van der Waals attractions that lead to film rupture. Long-wave asymptotics is used to derive approximate equations that govern the unstable evolution of the film. The solution of the nonlinear evolution equation is then considered using bifurcation techniques leading to an estimate for the nonlinear rupture time.
Từ khóa
Tài liệu tham khảo
1937, Izv. Akad. Nauk SSSR, Khim., 5, 1119
1939, Acta Phys. Chem. USSR, 10, 25
1955, Colloid J. USSR, 17, 207
1955, The theory of molecular attractive forces between solids, Zh. Eksp. Teor. Fiz., 29, 94
1956, Sov. Phys. JETP, 2, 73
1959, Van der Waals forces in an inhomogeneous dielectric, Zh. Eksp. Teor. Fiz, 36, 1797
1959, Sov. Phys. JETP, 9, 1282
1959, Van der Waals forces in liquid films, Zh. Eksp. Teor. Fiz., 37, 229
1960, Sov. Phys. JETP, 10, 161
1966, Possible mechanism for the spontaneous rupture of thin, free liquid films, Discuss. Faraday Soc., 42, 23, 10.1039/df9664200023
1974, Spontaneous rupture of thin liquid films, J. Chem. Soc. Faraday Trans. II, 70, 132, 10.1039/f29747000132
1975, The stability of radially bounded thin films, Chem. Eng. Commun., 2, 27, 10.1080/00986447508960444
1982, Nonlinear theory of film rupture, J. Colloid Interface Sci., 90, 220, 10.1016/0021-9797(82)90415-5
1988, Nonlinear stability of evaporating/condensing liquid films, J. Fluid. Mech., 195, 463, 10.1017/S0022112088002484
1986, Nonlinear stability of thin free liquid films: rupture and Marangoni effects, AIChE Symp. Ser., 252, 123
1986, Rupture of thin free films with insoluble surfactants: nonlinear aspects, AIChE Symp. Ser., 252, 130