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Technical Briefs

A One-Dimensional Model of Viscous Liquid Jets Breakup

[+] Author and Article Information
Mahmoud Ahmed

Mechanical Engineering Department  Assiut University, Assiut 71516, Egyptaminism@aun.edu.eg

M. M. Abou-Al-Sood, Ahmed hamza H. Ali

Mechanical Engineering Department  Assiut University, Assiut 71516, Egypt

J. Fluids Eng 133(11), 114501 (Oct 13, 2011) (7 pages) doi:10.1115/1.4004909 History: Received February 13, 2011; Revised August 12, 2011; Published October 13, 2011; Online October 13, 2011

The breakup process of a low speed capillary liquid jet is computationally investigated for different Ohnesorge numbers (Z), wave numbers (K), and disturbance amplitudes (ζo ). An implicit finite difference scheme has been developed to solve the governing equations of a viscous liquid jet. The results predict the evolution and breakup of the liquid jet, the growth rate of disturbance, the breakup time and location, and the main and satellite drop sizes. It is found that the predicted growth rate of disturbance, the breakup time, and the main and satellite drop sizes depend mainly on the wave numbers and the Ohnesorge numbers. The results are compared with those available, experimental data and analytical analysis. The comparisons indicate that good agreements can be obtained with the less complex one-dimensional model.

FIGURES IN THIS ARTICLE
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Copyright © 2011 by American Society of Mechanical Engineers
Topics: Waves , Drops , Jets , Satellites , Equations
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Figures

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Figure 5

Computed and theoretical breakup times versus wave number for different values of Z

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Figure 6

Variation of amplitude versus time with different initial disturbance amplitude for Z = 1 and K = 0.5

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Figure 7

Computed and theoretical growth rates versus wave number for different values of Z

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Figure 8

Computed and measured main and satellite drops versus wave number for Z = 0.0

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Figure 9

Computed and measured main and satellite drops versus wave number for different values of Z

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Figure 1

A schematic diagram of the liquid jet and the used coordinate system

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Figure 2

Evolution and breakup of the liquid jet at ζo  = 0.03, Z is constant for rows and K is constant for columns. The numbers on the figures indicate the corresponding dimensionless time T.

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Figure 3

Definition of the breakup locations: (a) two neck points occur between the swelling points and (b) one neck point occurs between the swelling points

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Figure 4

Variation of the main and satellite drop sizes with the initial disturbance amplitude for Z = 0.1 and K = 0.7

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