Inter-bubble gas diffusion in liquid foam

Growth dynamics and gas transport mechanism of nanobubbles in graphene liquid cells

“…There have been intensive efforts to characterize the nanobubbles in liquid phase [3][4][5][6][7][8][9][10] , which includes ion conductance measurement through a solid-state nanopore 11 , topographic imaging by atomic force microscopy (AFM) 12 and direct visualization by optical methods 13,14 . None of these, however, is capable of imaging the liquid-phase nanobubbles in real time with sub-10 nm resolution.…”

Influence of thermobaric conditions on size distribution of colloidal gas aphrons

“…However the appreciable growth of the bubble critical radius with the depletion of the dissolved gas results in the reverse process: the replenishment of the solution with the gas caused by the dissolution of the large-size subcritical bubbles. Such theory was first proposed by Lifschitz and Slyozov [15] and independently by Wagner [16] to characterize diffusive decomposition of solid solutions and later was it noticed that similar equations describe the coarsening of wet foams [14]. For the mean/critical radius growth the LSW theory gives for the exponent n = 1/3.…”

“…This fact along with the aphron little affinity to each other and to mineral surfaces (charged colloid) account for the extraordinary stability of the aphrons at reservoir pressure and temperature despite their micron and submicron size. [13,14] give for the exponent n = 1/2 as they are based on the assumption that the dissolved gas concentration is constant and the gas diffuses only from the solution to the bubbles and thus they correspond to the second stage of the BSD evolution. However the appreciable growth of the bubble critical radius with the depletion of the dissolved gas results in the reverse process: the replenishment of the solution with the gas caused by the dissolution of the large-size subcritical bubbles.…”

Measurement of bubble size distribution in a gas–liquid foam using pulsed-field gradient nuclear magnetic resonance

“…A modification of Eq. (13) that includes Lemlich's postulated dependency upon surface resistance to mass transfer can be found elsewhere [35]. Note that there are alternative models for Ostwald ripening in the literature [36,37] which share the same dependency on system parameters but differ in their dependency upon liquid fraction.…”