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- W2008797787 abstract "Abstract The effect of the collapse of single spherical moving multicomponent bubbles on the rate at which they dissolve when diffusion in the continuous phase is accompanied by consecutive chemical reactions is examined. The main assumptions employed are: the rate determining step is liquid phase diffusion; the process can be described by means of the film model. The bubble radius, the concentration of different components in the bubble, and the rate of dissolution are determined for the general case in which the intermediate and/or the final product diffuse back into the bubble. The system of nonlinear differential equations obtained is solved numerically. Simple analytical solutions are obtained in some limiting cases. The hydrodynamic effects of changing bubble radius on the film thickness are small, 7% or less when no chemical reactions occur. When the first reaction is rapid, κ 1 ≧ 2 , these effects are negligible since the process becomes controlled by the chemical reaction. The bubble collapses most rapidly when the reaction parameters are large and both the intermediate and the final products are nonvolatile, and this is the situation most frequently encountered in practice. However, even under these extreme conditions, the difference between the fraction dissolved predicted by assuming the radius is constant and equal to its initial value, or allowing it to vary, is less than 13%. This effect is decreased by the presence of insoluble gases in the bubble and by having volatile products of the reactions in the continuous phase." @default.
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- W2008797787 date "1972-10-01" @default.
- W2008797787 modified "2023-09-24" @default.
- W2008797787 title "Effect of collapse of multicomponent bubbles on convective diffusion with chemical reaction" @default.
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- W2008797787 doi "https://doi.org/10.1016/0021-9797(72)90095-1" @default.
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