Adsorption kinetics and compositional surface elasticity of multicomponent surfactant solutions

摘要: Abstract Adsorption kinetics of multicomponent surfactant solutions from a finite volume onto interfaces undergoing uniform nonsteady deformation was analyzed theoretically. General bulk and surface phase transport equations were formulated together with nonlinear kinetic boundary conditions describing adsorption processes governed by various isotherms. By applying the small perturbation technique these linearized around equilibrium reference state general expressions for fluxes in terms desorption constants perturbing variables derived. introducing matrix notation Laplace transformation set solved analytically an arbitrary number surfactants spherical planar interface geometry. The enabled generalization common Fourier elasticity concept to periodic nonperiodic (impulsive) deformations. Thus, characterizing compositional part we introduced operator E(s) (a square dimension equal considered) analogous complex transmittance electrical circuit. In space, is proportionality coefficient between deformations A (s) resulting concentrations θ . Based on definition using equation monolayer, mechanical vector ϵ(s) (of surfactants) total ϵt(s) scalar quantity) defined. previously used restricted modulus obtained our substituting s = i ω Explicit E(i ) derived one- two-component case interfaces. inversion transformed also performed, giving analytical as function time impulsive harmonic solutions, range validity determined.