Abstract
The apparent surface tension hysteresis on the inside interface of an oscillating liquid spherical shell has been examined theoretically. The effect can be produced by at least four independent mechanisms: (i) The bulk liquid contains a soluble surfactant and sorption is diffusion-limited; (ii) sorption kinetics at the interface determine the exchange rates of the soluble surfactant between the surface and the bulk liquid; (iii) the surface layer is insoluble but exhibits viscoelastic properties; and (iv) the bulk liquid, independent of the interface, exhibits viscoelastic properties. In each case, the full dynamics involving the interface mechanically linked with the bulk liquid and induced by the shell oscillation are obtained and the apparent surface tension hysteresis characteristics are predicted. Applications to the behavior of lung surfactants in the alveoli of mammalian lungs are discussed in detail.
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