Computer model : mass transfer from single rising gas bubbles in water Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/hd76s257d

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  • Mass transfer from single rising gas bubbles is generally studied by taking motion pictures of the rising bubbles and analyzing the film for the instantaneous mass transfer coefficient. In this study, a different approach was taken for the analysis of mass transfer. This analysis solved the simultaneous differential equations describing mass transfer by numerical techniques. The computer model developed is restricted to pure single gas bubbles in water, with diameters in the size range 0.01 ≤ diameter ≤ 0.30 cm. Given a bubble's initial diameter and height of water over the bubble, the model predicts the bubble's position and moles of gas present in the bubble at any other time. The bubble rise velocity was calculated by considering a force balance on a spherical bubble and used theoretical values of drag coefficients based on a sphere. Correlations presented by Hamerton and Garner, Frossling, and Weiner were used to solve for KL, the convective mass transfer coefficient. The time dependent behavior of KL, attributed to the accumulation of surface active agents at the rising bubble's interface, was accounted for by the development of a bubble age parameter, termed critical time. The differential equations were solved by a Runge-Kutta-Merson routine, and the model applied to a carbon dioxide-water system. The results were compared to data collected in the investigations of Deindoerfer, Garbarini, and Datta. The computer predictions, with the inclusion of the critical time parameter, corresponded closely to data presented by the three investigators. The model, without the critical time parameter, predicted mass transfer rates much higher than those presented in the three investigations. The model was extended to pure oxygen-water and air-water systems to aid in the modeling of gas dispersion equipment used in aeration ponds. Predictions indicate that the initial bubble diameter has a significant role on the overall mass transfer.
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