Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-19T10:17:05.125Z Has data issue: false hasContentIssue false
  • English
  • Français

Theoretical Estimation of Maximum Ellipsoidal Magnitude of a Low-Viscosity Droplet in a Parallel Gas Stream

Published online by Cambridge University Press:  15 July 2015

Z.-B. Wang ,
H.-F. Bai ,
J.-X. Xia ,
H.-Q. Zhong  and
Y.-C. Li
Z.-B. Wang*
Affiliation:
State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation Engineering, Southwest Petroleum University, Chengdu, China
H.-F. Bai
Affiliation:
State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation Engineering, Southwest Petroleum University, Chengdu, China
J.-X. Xia
Affiliation:
State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation Engineering, Southwest Petroleum University, Chengdu, China
H.-Q. Zhong
Affiliation:
State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation Engineering, Southwest Petroleum University, Chengdu, China
Y.-C. Li
Affiliation:
State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation Engineering, Southwest Petroleum University, Chengdu, China
*
*Corresponding author ([email protected])
Get access

Abstract

Maximum ellipsoidal magnitude of the droplet is an important basic parameter for calculating drag force, droplets axial-velocity and dispersed-phase pressure gradient in an annular-mist pipe flow. An analytical correlation to predict the maximum ellipsoidal magnitude of a low-viscosity droplet in a parallel gas stream based on energy conservation and volume conservation. Stagnant pressure distribution on droplet surface is revised from Flachsbart's formula. The proposed correlation has clear physical meaning and easy to use. The correlation captures the deformation mechanism with an average absolute percent error of 9.53%. The effect of stagnant pressure distribution on the proposed correlation's accuracy is discussed.

Keywords

Liquid drop deformationDrop breakupEllipsoidal magnitudeStagnant pressure distribution
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 6 , December 2015 , pp. 727 - 732
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Wierzba, A., “Deformation and Breakup of Liquid Drops in at Nearly Critical Weber Numbers,” Experiments in Fluids, 9, pp. 59–64 (1990).Google Scholar
2.Hinze, J.O., “Fundamentals of the Hydrodynamic Mechanism of Splitting in Dispersion Processes,” AIChE Journal, 1, pp. 289–295 (1955).Google Scholar
3.Azzopardi, B. J., “Drops in Annular Two-Phase Flow,” International Journal of Multiphase Flow, 23 (Supplementary), pp. 1–53 (1997).Google Scholar
4.Acrivos, A. and Lo, T. S., “Deformation and Breakup of a Single Slender Drop in an Extensional Flow,” Journal of Fluid Mechanics, 86, pp. 641–672 (1978).Google Scholar
5.Stone, H. A., “Dynamics of Drop Deformation and Breakup in Viscous Fluids,” Annual Review of Fluid Mechanics, 26, pp. 65–102 (1994).CrossRefGoogle Scholar
6.Rallison, J. M., “A Numerical Study of the Deformation and Burst of a Viscous Drop in General Shear Flows,” Journal of Fluid Mechanics, 109, pp. 465–482 (1981).Google Scholar
7.Turner, R. G., Hubbard, M. G. and Dukler, A. E., “Analysis and Prediction of Minimum Flow Rate for the Continuous Removeal of Liquids from Gas Wells,” Journal of Petroleum Technology, Nov, pp. 75–82 (1969)Google Scholar
8.Helenbrook, B. T. and Edwards, C.F., “Quasi-Steady Deformation and Drag of Uncontaminated Liquid Drops,” International Journal of Muhiphase Flow, 28, pp. 1631–1657 (2002).Google Scholar
9.Gonor, A.L. and Zolotova, N. V., “Spreading and Breakup of a Drop in a Gas Stream,” Acta Astronautica, 2, pp. 137–142 (1984).Google Scholar
10.Taylor, G. I., “The Shape and Acceleration of a Drop in a High Speed Air Stream,” The Scientific Papers of Sir Geoffrey Ingram Taylor, III, Cambridge University Press, U.K. (1963).Google Scholar
11.O’Rourke, P. J. and Amsden, A. A., “The TAB Method for Numerical Calculation of Spray Droplet Breakup,” Society of Automotive Engineers, pp. 2087–2089 (1987).Google Scholar
12.Clark, M. M., “Drop Breakup in a Turbulent flow-1. Conceptual and Modeling Consideration,” Chemical Engineering Science, 43, pp. 671–679 (1988).Google Scholar
13.Ibrahim, E. A., Yang, H. Q. and Przekwas, A. J., “Modeling of Spray Droplets Deformation and Breakup,” AIAA Journal of Propulsion and Power, 9, pp. 651–654 (1993).Google Scholar
14.Hslang, L. P. and Faeth, G. M., “Near-Limit Drop Deformation and Secondary Breakup,” International Journal of Multiphase Flow, 18, pp. 635–652 (1992).Google Scholar
15.Flachsbart, O., “The Resistance of Spheres in the Vicinity of the Critical Reynolds Number (Der Wiederstand von Kugeln in der Umgebung der kritischen Reynoldschen),” Ergebn Aerod Versuchs Anstalt, 4, pp. 106–108 (1932).Google Scholar
16.Li, M., Li, S. L. and Sun, L. T., “New View on Continuous-Removal Liquids from Gas Wells,” SPE Production and Facilities, 43, pp. 42–46 (2002).CrossRefGoogle Scholar
17.Liu, Z. and Reitz, R. D., “An Analysis of the Distortion of the Distortion and Breakup Mechanisms of High Speed Liquid Drops,” International Journal of Multiphase Flow, 23, pp. 631–650 (1997).Google Scholar
18.Krzeczkowski, S. A., “Measurement of Liquid Droplet Disintegration Mechanisms,” International Journal of Multiphase Flow, 6, pp. 227–239 (1980).Google Scholar
19.Chou, W. H. and Faeth, G. M., “Temporal Properties of Secondary Drop Breakup in the Bag Breakup Regime,” International Journal of Multiphase Flow, 24, pp. 889–912 (1998).Google Scholar