Graduate Thesis Or Dissertation
 

A computer model of two component mass transfer from single rising gas bubbles in water

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  • Mass transfer from a single rising gas bubble in water may be analyzed by numerical methods. In this study the simultaneous differen- tial equations which describe two component mass transfer from a rising gas bubble are solved by numerical integration. This is accomplished using a computer model which employs a Runga-Kutta-Merson routine. Given the depth and diameter of an orifice, and the initial composition of the bubble the computer model will predict the bubble's depth, diameter, composition, and the total number of moles present in the bubble at any time. The bubble may contain up to two water soluble components and one inert component and should be restricted to the range 0.01 cm <̲ diameter <̲ 0.3 cm. The water through which the bubble rises may be pure or contain a dissolved gas. Experiments were conducted to test the accuracy of the model. Through the use of photography and measurements of bubble rise times the bubble histories of two systems were recorded. The two systems studied were air-water and carbon dioxide-water. The experiments were carried out in a three-inch, inner diameter pipe with a discharge orifice depthof 12.5 feet. Orifice diameters of 0.015, 0.05 and 0.15 cm were used in the experiments to discharge the initial bubble. The computer model predictions were compared to the data of Deindoerfer and to the data of the test experiments. The model tended to be less accurate as the bubble diameter became small (less than 0.05 cm).' Multiple runs of the model were conducted for bubbles of various oxygen, nitrogen composition. A correlation was found between the percent of oxygen transferred and the depth of the discharge orifice at specific orifice diameters. This may aid in the design of gas dispersion equipment. It was found that the initial composition of the bubble has very little effect on the percent of the oxygen transferred but it has a large effect on the number of moles transferred.
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