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Atomization and Sprays
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ISSN Druckformat: 1044-5110
ISSN Online: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2012005143
pages 123-141

LINEAR STABILITY ANALYSIS OF A POWER-LAW LIQUID JET

Li-Jun Yang
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, China
Ming-long Du
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, China, 100191
Qing-Fei Fu
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China; School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, United Kingdom
Wei Zhang
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing, China, 100191

ABSTRAKT

A temporal stability analysis has been carried out to model the breakup of a power-law liquid jet. The dispersion relation of a power-law liquid jet is obtained by integrating the axisymmetric governing equations for the power-law liquid jet. The effects of the surface tension, liquid jet radius, air boundary layer, liquid consistency coefficients, gas dynamic viscosity, power-law index, and the relative velocity between the liquid and gas phase on the maximum growth rate and the dominant wave number are studied. The investigation shows that the maximum growth rate and the dominant wave number increase with the increase of the relative velocity and gas dynamic viscosity, while they both decrease as the liquid surface tension, liquid jet radius, air boundary layer, and power-law index increase. Therefore, increasing the relative velocity and gas dynamic viscosity, or decreasing the liquid surface tension, liquid jet radius, air boundary layer, liquid consistency coefficient, or power-law index will improve the instability of the liquid jet and be advantageous for the breakup of the liquid jet. The liquid consistency coefficient on liquid jet instability has a critical value, and the low liquid consistency coefficient will make the jet more unstable.


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DUAL-MODE LINEAR ANALYSIS OF TEMPORAL INSTABILITY FOR POWER-LAW LIQUID SHEET
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