Mass Diffusion from Gas Bubbles Moving in Liquids with Chemical Reaction

概要

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Mass transfer resulting from the dissolution of sphericalg as bubbles into liquids is studied under situations in which an irreversible first-order chemical reaction takes place between the dissolved gases and the liquids. Consideration is given to the cases: (i) the gas bubbles are riding in a stream of the liquid, and (ii) the bubbles are rising in a quiescent liquid. The liquid flows past the bubble are divided into three regions depending upon the bubble Reynolds number or equivalently the bubble size: the creeping-flow, viscous-flow, and inviscid-flow regions. The mass-balance equation is solved by means of the series expansion method, from which the rate of mass transfer from the gas bubble into the liquid is obtained together with the radius-time history of the bubble. It is disclosed that the gas bubble dissolves at a rate in a linear variation with time. Theoretical equations are obtained to predict the rate of mass transfer in terms of dimensionless parameters, i.e., the Sherwood number as functions of the Reynolds and Schmidt numbers and dimensionless reaction velocity constant.
社団法人応用物理学会の論文
1975-08-05