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송동익 경북대학교 공과대학 1986 工大硏究誌 Vol.15 No.-
Factors influencing on the stability of the emulsion-type liquid membrane were analysed using factorial design method. It was shown that the volume ratio of aqueous phase to oil phase(W/O ratio) and the pH of the external aqueous phase were the main effects on liquid membrane stability. Binary interaction between W/O ratio and aqueous phase pH was also important as the surfactant weight percent increased. The range of each influential variable which was expected to give a stable liquid membrane was determined from single variable experiment.
擔體를 包含한 에멀젼型 液膜의 구리이온 促進 傳達에 關한 模寫硏究
宋東益,崔相俊 慶北大學校 1984 論文集 Vol.38 No.-
A mathematical model for facilitated transport simultaneously taken account of both the formation reaction of copper complex at the external aqueous solution and internal diffusion of the complex in the liquid membrane was developed and compared with the experimental data. Overall reaction equilibrium constant was estimated to be 6×10exp(-10) by fitting the model equations to the experimental data. The formation rate of copper complex was confirmed to be nearly first order with respect to the copper ion concentration. More studies on the reaction order of the hydrogen ion concentration, however, seem to be required. First of all, kinetic studies should be performed to obtain more accurate reaction rate equation for the development of the extraction processes in the future.
宋東益,崔相俊 慶北大學校 1983 論文集 Vol.36 No.-
Two diffusion-controlled mathematical models for emulsion-type liquid membrane, which were proposed by Lightfoot and Ho, and Ihm and Choi, were simulated by solving numerically the coupled moving boundary value problem using Crank-Nicholson implicit method and were compared with the batch experimental data obtained previously for removal of phenol from waste water. The results have shown that Lightfoot and Ho's model which was based on uniform mass transfer resistance inside the emulsion globules was not in good agreement with the experimental data especially at initial time period, but Ihm and Choi's model considering mass transfer resistances in the outer liquid membrane layer and in the inner reacted zone simulataneously, was fitted well the experimental data for nearly entire time period. Therefor, Ihm and Choi's model taking into consideration the outer mass transfer resistance layer of liquid membrane was thought to be more predictive and more precise than Lightfoot and Ho's one in the emulsion-type liquid membrane.
A Simple Mathematical Analysis on the Effect of Sand in Cr(VI) Reduction using Zero Valent Iron
송동익,김영훈,신원식 한국화학공학회 2005 Korean Journal of Chemical Engineering Vol.22 No.1
A simple mathematical model was proposed to analyze the enhancement of Cr(VI) reduction when sand materials are added to the zero valent iron (ZVI). Natural decay of Cr(VI) in a control experiment was analyzed by using a zero-order decay reaction. Adsorption kinetics of Cr(VI) to sand was modeled as a first-order reversible process, and the reduction rate by ZVI was treated as a first-order reaction. Natural decay of Cr(VI) was also included in other experiments, i.e., the adsorption to sand, the reduction by ZVI, and both adsorption and reduction when sand and ZVI are present together. The model parameters were estimated by fitting the solution of each model to the corresponding experimental data. To observe the effect of sand addition to ZVI, both adsorption and reduction rate models were considered simultaneously including the natural decay. The solution of the combined model was fitted to the experimental data to determine the first-order adsorption and reduction rate constants when sand as well as ZVI is present. The firstorder reduction rate constant in the presence of sand was about 35 times higher than that with ZVI only.