Hydrodynamic stability of thin spherically concentric fluid shells

Stability of a bi-layer free film: simultaneous or individual rupture events?

“…This assumption follows a number of previous theoretical studies examining the microscale flow in surfactant-saturated foam films (for example Patzer & Homsy 1975;Schwartz & Princen 1987). This equates to assuming that the surface elastic modulus of the surfactant-laden interface is large, consistent with experimental observations that the creation of interface in an extending soap foam lamella is restricted to a narrow region at the edge of elongating film (Mysels & Cox 1962).…”

“…Such an approach has been used widely in previous studies (e.g. Patzer & Homsy 1975;Matar et al 2002). In this case, the excess pressure is defined as…”

Nonlinear surface wave instability for electrified Kelvin fluids

“…The uniform fields E (1) and E (2) in the regions 1 and 2, respectively are above and below the interface and are applied by means of plane electrodes parallel to the flat interface y = 0. The upper and lower densities, viscosities, and dielectric constants of the fluids are ρ (1) , µ (2) , ε (1) and ρ (2) , µ (2) , ε (2) , respectively.…”

“…Many efforts [1][2][3][4][5] have been devoted to the stability of viscous films surrounded by liquid phases. Theses studies are applicable to the attachment of droplets in an emulsion.…”

Instability for Shearing of an Electrified Kelvin Fluid Sheet with or without Supporting Surface Charges

“…A host of efforts (12)(13)(14)(15)(16) have been devoted to the stability of viscous films surrounded by liquid phases. These studies are applicable to the attachment of droplets in an emulsion.…”