Stability analysis of core-annular flow and neutral stability wave number

AIChE Journal

Volumn 54, Issue 1, 2008, Pages 20-31

  Rodriguez, Oscar M H ^a   Bannwart, Antonio C ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Core annular flow; Hydrodynamic stability; Interfacial wave; Liquid liquid flow; Oil water flow

Indexed keywords

LAMINAR FLOW; PROBLEM SOLVING; TURBULENT FLOW; TWO PHASE FLOW;

CORE-ANNULAR FLOW; HYDRODYNAMIC STABILITY; INTERFACIAL WAVE; LIQUID-LIQUID FLOW; OIL-WATER FLOW;

FLOW PATTERNS;

FLOW PATTERNS; LAMINAR FLOW; PROBLEM SOLVING; TURBULENT FLOW; TWO PHASE FLOW;

EID: 38149065914     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11361     Document Type: Article

References (35)

1. Briggs PJ, Baron RP, Fulleylove RJ, Wright MS. Development of heavy-oil reservoirs. SPE. 1998;15748:206-214.
2. Bannwart AC, Rodriguez OMH, de Carvalho CHM, Wang IS, Obregon-Vara RM. Flow patterns in heavy crude oil-water flow. J Energy Resour Technol Trans ASME. 2004;126:184-189.
3. Vanegas-Prada JW. Experimental study of core annular flow in the ultraviscous oil lift. M.Sc. Dissertation, The State University of Campinas, 1999.
4. Obregon-Vara RM. Hydrodynamics of the two-phase heavy oilwater flow in a horizontal pipe. M.Sc. Dissertation, The State University of Campinas, UNICAMP, 2001.
5. Rodriguez OMH. Interface shape and pressure gradient in upward core-annular flow. Ph.D. Thesis, The State University of Campinas, UNICAMP, 2002.
6. Bannwart AC, Rodriguez OMH, Trevisan FE, Vieira FF, Carvalho CHM. Flow patterns and pressure gradient in horizontal, upward inclined and vertical heavy oil-water-gas flows: experimental investigation and full-scale experiments. In 3rd International Symposium on Two-phase How Modelling and Experimentation, Pisa, 2004.
7. Bannwart AC, Vieira FF, Trevisan FE, Rodriguez OMH, de Carvalho CHM. Pressure drop in water-assisted three-phase flow of heavy oil and gas in a vertical pipe. In 5th North American Conference on Multiphase Technology-Transfering Technology, BHR Group Limited, 2006:421-433.
8. Rodriguez OMH, Bannwart AC. Experimental study on interfacial waves in vertical core flow. J Pet Sci Eng. 2006;54:140-148.
9. Rodriguez OMH, Bannwait AC. Analytical model for interfacial waves in vertical core flow. J Pet Sci Eng. 2006;54:173-182.
10. Charles ME, Govier GW, Hodgson GW. The horizontal pipeline flow of equal density oil-water mixtures. Can J Chem Eng. 1961;39:27-36.
11. Flores JG, Chen XT, Sarica C, Brill JP. Characterization of oil-water flow patterns in vertical and deviated wells. In: SPE Annual Technical Conference and Exhibition, SPE 38810, San Antonio, Texas, 1997.
12. Trallero JL. Oil-water flow patterns in horizontal pipes. PhD Thesis, The University of Tulsa, 1995.
13. Elseth G. An experimental study of oil-water flow in horizontal pipes. Ph.D. Thesis, The Norwegian University of Science and Technology, 2001.
14. Russel TWF, Charles ME. The effect of the less viscous liquid in the laminar flow of two-immiscible liquids. Can J Chem Eng. 1959;37:18-24.
15. Ooms G. The hydrodynamic stability of core-annular flow of two ideal liquids. Appl Sci Res. 1972;26:147-158.
16. Ooms G, Segal A, Van der Wees AJ, Meerhoff R, Oliemans RVA. A theoretical model for core-annular flow of a very viscous oil core and a water annulus throught a horizontal pipe. Int J Multiphase Flow. 1984;10:41-60.
17. Oliemans RVA. The lubricating-film model for core-annular flow. Ph.D. Thesis, Delft University of Technology, 1986.
18. Joseph DD, Renardy Y, Renardy M. Instability of the flow of immiscible liquids with different viscosities in a pipe. J Fluid Mech. 1984;141:309-317.
19. Feng J, Huang PY, Joseph DD. Dynamic simulation of the motion of capsules in pipelines. J Fluid Mech. 1995;289:233-245.
20. Howard H, Patankar N. Non-axisymmetric instability of core-annular flow. J Fluid Mech. 1995;290:213-224.
21. Bai R. Traveling waves in a high viscosity ratio and axisymmetric core annular flow. Ph.D. Thesis, University of Minnesota, 1995.
22. Bai R, Kelkar K, Joseph DD. Direct simulation of interfacial waves in a high-viscosity-ratio and axisymmetric core-annular flow. J Fluid Mech. 1996;327:1-34.
23. Bai R, Joseph DD. Steady flow and interfacial shapes of a highly viscous dispersed phase. Int J Multiphase Flow. 2000;26:1469-1491.
24. Brauner N, Maron DM. Classification of liquid-liquid two-phase flow systems and the prediction of flow pattern maps. In: 2nd International Symposium on Two-Phase Flow Modeling and Experimentation, ISTP'99, Pisa, 1999:747-754.
25. Bannwart AC. Bubble analogy and stabilization of core-annular flow. J Energy Resour Technol. 2001;123:127-132.
26. Barnea D. On the effect of viscosity on stability of stratified gas-liquid flow-application to flow pattern transition at various pipe inclinations. Chem Eng Sci. 1991;46:2123-2131.
27. Barnea D, Taitel Y. Kelvin-Helmholtz stability criteria for stratified flow: viscous versus non-viscous (inviscid) approaches. Int J Multiphase Flow. 1993;19:639-649.
28. Schlichting H. Boundary-Layer Theory. New York: McGraw-Hill, 1979.
29. Wallis GB. One-Dimensional Two-Phase Flow. New York: MacGraw-Hill, 1969.
30. Whitham GB. Linear and Nonlinear Waves. New York: Wiley, 1974.
31. Ishii M. Wave phenomena and two-phase flow instabilities. In: Hetsroni G, editor. Handbook of Multiphase Systems. New York: McGrw-Hill, 1982:2/95-2/98.
32. Joseph DD, Renardy Y. Fundamentals of Two-Fluid Dynamics. II. Lubricated Transport, Drops and Miscible Liquids. New York: Springer-Verlag, 1993.
33. Song JH, Ishii M. On the stability of a one-dimensional two-fluid model. Nucl Eng Des. 2001;204:101-115.
34. White FM. Viscous Fluid Flow. New York: Wiley, 1991.
35. Miesen RHM, Beijnon G, Duijvestijn PEM, Oliemans RVA, Verheggen TMM. Interfacial waves in core-annular flow. J Fluid Mech. 1992;238:97-117.