Radius and surface tension of microscopic bubbles by second gradient theory

Francesco Dell'Isola (1) , Henri Gouin (2) , Pierre Seppecher (3)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 IUSTI - Institut universitaire des systèmes thermiques industriels
3 IMATH - Institut de Mathématiques de Toulon - EA 2134

The classical theory of Laplace is not suitable for describing the behavior of microscopic bubbles. The theory of second gradient fluids (which are able to exert shear stresses in equilibrium conditions) allows us to obtain a new expression for surface tension and radius of these bubbles in terms of functionals of the chemical potential. This relationship allows us to generalize the results of Cahn-Hilliard and Tolman.

Mots clés: Continuum mechanics; Gas liquid interface; Equilibrium; Theoretical study; Particle size; Bubbles; Surface tension

Domaines: Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Chimie-Physique [physics.chem-ph]

Francesco Dell'Isola, Henri Gouin, Pierre Seppecher. Radius and surface tension of microscopic bubbles by second gradient theory. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, 1995, 320, pp.5. ⟨hal-00308860⟩