Linear Growth of a Liquid Droplet Divided from its Vapour by a " SOAP BUBBLE"- like Fluid Interface

Francesco Dell'Isola (1, 2)

1 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
2 Dipartimento di Ingegneria Strutturale e Geotecnica

The theory proposed in [1, 3] is particularized to describe the spherically symmetric growth, in the neighbourhood of an equilibrium state far from the critical temperature, of a liquid incompressible droplet surrounded by its vapour when the interface between the phases behaves as a fluid membrane which resembles a soap bubble. A free moving boundary problem for an integro-differential equation of parabolic type is deduced in which the second-order time derivative of the radius R(t) of the droplet appears, together with a volume source term which depends on the history of R.

Domains: Mechanics [physics.med-ph]

Francesco Dell'Isola. Linear Growth of a Liquid Droplet Divided from its Vapour by a " SOAP BUBBLE"- like Fluid Interface. International Journal of Engineering Science, 1989, pp.15. ⟨hal-00498047⟩