Instability mechanism of interfacial waves in swirling annular gas-liquid flow

doi:10.7523/j.issn.2095-6134.2017.02.005

Abstract

Abstract: To reveal the mechanism of interfacial wave instability in swirling annular gas-liquid flow, a theoretical model for interfacial waves is established based on the Kelvin-Helmholtz instability theory and the two-fluid model. The dispersion equation is derived, and the interfacial stability criterion is obtained and verified analytically. Results indicate that the interplay of aerodynamic, centrifugal, and surface tension forces gives rise to interfacial instability. Specially, the centrifugal force acting on the interface has triple effects on the stability, depending on the relative magnitudes of gas/liquid dynamic pressures. Effects of gas velocity, swirl intensity, and cylinder curvature on the growth characteristics of the interfacial waves are examined in detail.

Key words: swirling annular flow, interfacial wave, K-H instability, stability criterion

CLC Number:

TK121

LIU Li, BAI Bofeng. Instability mechanism of interfacial waves in swirling annular gas-liquid flow[J]. , 2017, 34(2): 153-159.

References

[1] Kataoka H, Tomiyama A, Hosokawa S, et al. Two-phase swirling flow in a gas-liquid separator[J]. Journal of Power and Energy Systems, 2008, 2(4):1120-1131.
[2] Kataoka H, Shinkai Y, Hosokawa S, et al. Swirling annular flow in a steam separator[J]. Journal of Engineering for Gas Turbines and Power, 2009, 131(3):1-7.
[3] Kataoka H, Shinkai Y, Tomiyama A. Pressure drop in two-phase swirling flow in a steam separator[J]. Journal of Power and Energy Systems, 2009, 3(2):382-392.
[4] Kataoka H, Shinkai Y, Tomiyama A. Effects of swirler shape on two-phase swirling flow in a steam separator[J]. Journal of Power and Energy Systems, 2009, 3(2):347-355.
[5] Fryer P J, Whalley P B. The effect of swirl on the liquid distribution in annular two-phase flow[J]. International Journal of Multiphase Flow, 1982, 8(3):285-289.
[6] Bas H, Ozceyhan V. Heat transfer enhancement in a tube with twisted tape inserts placed separately from the tube wall[J]. Experimental Thermal and Fluid Science, 2012, 41(3):51-58.
[7] Chang L M, Wang L B, Song K W, et al. Numerical study of the relationship between heat transfer enhancement and absolute vorticity flux along main flow direction in a channel formed by a flat tube bank fin with vortex generators[J]. International Journal of Heat and Mass Transfer, 2009, 52(7):1794-1801.
[8] Song K W, Wang Y, Zhang Q, et al. Numerical study of the fin efficiency and a modified fin efficiency formula for flat tube bank fin heat exchanger[J]. International Journal of Heat and Mass Transfer, 2011, 54(11):2661-2672.
[9] Li J, Wang S F, Chen J F, et al. Numerical study on a slit fin-and-tube heat exchanger with longitudinal vortex generators[J]. International Journal of Heat and Mass Transfer, 2011, 54(9):1743-1751.
[10] Molina R, Wang S, Gomez L E, et al. Wet gas separation in gas-liquid cylindrical cyclone separator[J]. Journal of Energy Resources Technology, 2008, 130(4):130-134.
[11] Hewitt G F, Hall-Taylor N. Annular two-phase flow[M]. Oxford:Pergamon, 1970:110-117.
[12] Miesen R, Beijnon G, Duijvestijn P E M, et al. Interfacial waves in core-annular flow[J]. Journal of Fluid Mechanics, 1992, 238(5):97-117.
[13] Liu L, Bai B F. Interfacial stability in vertical swirling annular two-phase Flow[C]//NURETH-16, Chicago, IL UAS, Aug 29-Sep 6, 2015.
[14] Matas J P, Hong M, Cartellier A. Stability of a swirled liquid film entrained by a fast gas stream[J]. Physics of Fluids, 2014, 26(4):042108.
[15] Jeon J, Hong M, Han Y M, et al. Experimental study on spray characteristics of gas-centered swirl coaxial injectors[J]. Journal of Fluids Engineering, 2011, 133(12):121303.
[16] Im J H, Cho S, Yoon Y, et al. Comparative study of spray characteristics of gas-centered and liquid-centered swirl coaxial injectors[J]. Journal of Propulsion and Power, 2010, 26(6):1196-1204.
[17] Barnea D, Taitel Y. Kelvin-Helmholtz stability criteria for stratified flow:viscous versus non-viscous (inviscid) approaches[J]. International Journal of Multiphase Flow, 1993, 19(93):639-649.
[18] Ishii M, Hibiki T. Thermo-fluid dynamics of two-phase flow[M]. Springer Berlin, 2011:48-52.
[19] Rosenthal D K. The shape and stability of a bubble at the axis of a rotating liquid[J]. Journal of Fluid Mechanics, 1962, 12(03):358-366.
[20] Hocking L M. The stability of a rigidly rotating column of liquid[J]. Mathematika, 1960, 7(01):1-9.
[21] Pedley T J. The stability of rotating flows with a cylindrical free surface[J]. Journal of Fluid Mechanics, 1967, 30(1):127-147.