par Bisch, Paulo Mascarello ;Wendel, H;Gallez, Dominique
Référence Journal of colloid and interface science, 92, 1, page (105-120)
Publication Publié, 1983-03
Article révisé par les pairs
Résumé : A hydrodynamic model suitable for investigating the dynamics of a prototypical symmetric thin film is introduced. The model displays two-dimensional surface phases with intrinsic rheology. Van der Waals and electrostatic interactions are treated as bulk forces. With interest being concentrated on colored films the theory is used to investigate the dynamic behavior of films submitted to periodic thickness fluctuations. The appropriate high-order characteristic value problem associated with the linearized equations of motion is solved analytically in the whole wavelength regime by employing the method of asymptotic expansion combined with a careful consideration of the orders of magnitude of the terms involved. Thus, a complete set of dispersion relations evolves together with a classification scheme for all solutions. Some solutions had never been found before; others assume a form more general than in previous work on symmetric thin films. The investigation culminates in establishing general stability criteria for liquid films undergoing squeezing-type deformations. © 1983.