Bubble Coarsening Diffusional Disproportionation

FIG U RE 1.15 de Vries model [10] of gas diffusion from small bubbles of radius r, in a foam to adjacent large bubbles of radius ij, where r, C f, . 

The number of moles of gas in the small bubble is given by Boyle s law if it is ideal, which means that the rate of transport of gas from that bubble is given by [10] 

It is obvious from both Equations 1.24 and 1.25 that the rate of diffusional disproportionation is dependent on the solubility of the gas phase through the magnitude of the Henry s law constant H. The magnitude of for carbon dioxide in water is. 

FIGURE 1.16 Simulation of effect of diffusional disproportionation on initial bubble size distribution, P(r, x = 0), where ij, is the dimensionless bubble radius and t is the dimensionless time. (Adapted with permission from Cheng, H.C. and Lemlich, R., Ind. Eng. Fundam., 24, 44. Copyright 1985 American Chemical Society.) 

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