{"title":"Bubble Growth in a Two Phase Upward Flow in a Miniature Tube ","authors":"R. S. Hassani, S. Chikh, L. Tadrist, S. Radev","volume":89,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":866,"pagesEnd":869,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9998138","abstract":"<p>A bubbly flow in a vertical miniature tube is analyzed theoretically. The liquid and gas phase are co-current flowing upward. The gas phase is injected via a nozzle whose inner diameter is 0.11mm and it is placed on the axis of the tube. A force balance is applied on the bubble at its detachment. The set of governing equations are solved by use of Mathematica software. The bubble diameter and the bubble generation frequency are determined for various inlet phase velocities represented by the inlet mass quality. The results show different behavior of bubble growth and detachment depending on the tube size.<\/p>\r\n","references":"[1]\tS. Ramakrishnan, R. Kumar, N. R. Kuloor, Studies in bubble formation, I-Bubbles formation under constant flow conditions, Chemical Engineering Science, 1969, Vol.24, pp.731-749.\r\n[2]\tS. C. Chuang, V. W. Goldschmidth, Bubble formation due to a submerged capillary tube in quiescent and coflowing streams, Journal of basic engineering, 1970, pp. 705-710.\r\n[3]\tR. Kumar, A unified approach to bubble and drop formation, Chemical Engineering Science, 1971, Vol. 26, pp. 177-184.\r\n[4]\tE. S. Gaddis, A. Vogelpohl, Bubbles formation in quiescent liquid under constant flow conditions, Chemical Engineering Science, 1986, Vol. 41, pp. 97-105. \r\n[5]\tM. Mart\u00edn, F. J. Montes, M. A. Gal\u00e1n, On the influence of the liquid physical properties on bubble volumes and generation times, Chemical Engineering Science, 2006, Vol. 61, pp. 5196 \u2013 5203.\r\n[6]\tC. Liu, B. Liang, S. Tang, H. Zhang, E. Min, A Theoretical Model for the Size Prediction of Single Bubbles Formed under Liquid Cross-flow, Fluid Flow and Transport Phenomena, Chinese Journal of Chemical Engineering, 2010, Vol. 18, pp. 770-776.\r\n[7]\tR. B. Bird, W. E. Stewart, E. N. Lightfoot, Transport Phenomena, New York, John Wiley & Sons, 1960.\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 89, 2014"}