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Received May 22, 2001
Accepted July 28, 2001
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Development of Counter-Current Flow Limitation Model Applicable to a Sharp-Edged Liquid Entrance
Dept. of Environmental Management, Cheonan College of Foreign Studies, Anseo-dong, Cheonan, Choongnam 330-705, Korea
jhjeong@ccfs.ac.kr
Korean Journal of Chemical Engineering, November 2001, 18(6), 824-830(7), 10.1007/BF02705603
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Abstract
There are many industrial machines that function by operation of multi-phase fluids. Some of them take advantage of the characteristics of counter-current two-phase flow. The maximum flow rates of gas and liquid phases which flow in opposite-directions (counter-current flow) are limited by a phenomenon known as a Counter-Current Flow Limitation (CCFL or flooding). The mass and momentum conservation equations for two phases were established to build a system of first-order partial derivative equations (PDE). A new CCFL model was developed based on the characteristic equation of the first-order PDE system. The present model applies to the case in which a non-uniform flow is developed around a square or sharp-edged entrance of liquid phase. The model can be used to predict the operating-limit of components in which mass and heat transfer are taking place between liquid and gas phases.
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Wallis GB, Kuo JT, Int. J. Multiph. Flow, 2, 521 (1976)
Bharathan D, Wallis GB, Richter HJ, "Air-Water Countercurrent Annular Flow," EPRI Report, NP-1165 (1979)
Cetinbudaklar AG, Jameson GJ, "The Mechanism of Flooding in Vertical Countercurrent Two-Phase Flow, Chemical Engineering Science 24," 1669 (1969)
Cho SY, Lee YY, Kim SJ, Korean J. Chem. Eng., 12(3), 313 (1995)
Drazin PG, "Solitions, Lecture Note Series 85," London Mathematical Society (1983)
Han DH, Hong WH, Korean J. Chem. Eng., 15(3), 324 (1998)
Iyer K, Theofanous TG, Nucl. Sci. Eng., 108, 198 (1991)
Jeong JH, No HC, Nucl. Eng. Des., 148, 109 (1994)
Jeong JH, No HC, Int. J. Multiph. Flow, 22(3), 499 (1996)
Kaminaga F, Okamoto Y, Shibata Y, "Evaluation of Entrance Geometry Effect on Flooding," Proc. 1st JSME/ASME Joint Int. Conference on Nucl. Eng., Tokyo, 95 (1991)
Lacy CE, Dukler AE, Int. J. Multiph. Flow, 20(2), 235 (1994)
Lax PD, "Differential Equations, Difference Equations and Matrix Theory," Comm. Pure Appl. Math. XI, 174 (1958)
Lee HM, MaCarthy GE, Tien CL, "Liquid Carry-over and Entrainment in Air-Water Countercurrent Flooding," EPRI Report, NP-2344 (1982)
MaCarthy GE, Lee HM, "Review of Entrainment Phenomena and Application to Vertical Two-Phase Countercurrent Flooding," EPRI Report, NP-1284 (1979)
Moalem MD, Dukler AE, Int. J. Multiph. Flow, 10, 599 (1984)
Peng CA, Jurman LA, McCready MJ, Int. J. Multiph. Flow, 17, 767 (1991)
Richter HJ, Int. J. Multiph. Flow, 7, 647 (1981)
Shearer CJ, Davidson JF, J. Fluid Mech., 22, 321 (1965)
Taitel Y, Barnea D, Dukler AE, Int. J. Multiph. Flow, 8, 1 (1982)
Turner JS, "Buoyancy Effects in Fluids," Cambridge University Press (1979)
Wallis GB, "One Dimensional Two-Phase Flow," McGraw-Hill (1969)
Wallis GB, Kuo JT, Int. J. Multiph. Flow, 2, 521 (1976)
