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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v34.i3.30
pages 224-243

A Nonlinear Model for the Atomization of Attenuating Liquid Sheets

E. A. Ibrahim
Mechanical Engineering Department, Tuskegee University, Tuskegee, Alabama 36088,USA
D. Sree
Mechanical Engineering Department, Tuskegee University, Tuskegee, Alabama 36088, USA
T. R. McKinney
Mechanical Engineering Department, Tuskegee University, Tuskegee, Alabama 36088, USA

ABSTRACT

The problem of predicting the characteristics of the spray produced by the disintegration of an attenuating liquid sheet emanated into a surrounding gas is considered. A second-order nonlinear perturbation analysis is employed to investigate the evolution of the instability waves that lead to sheet breakup. The sheet breakup length, thickness, and time as well as size of drops formed upon sheet fragmentation are estimated. It is found that the breakup length, breakup time, and drop size decrease as the Weber number is increased. The breakup thickness increases by raising the Weber number. An initial disturbance of larger amplitude induces faster sheet atomization and larger drops. A higher gas-to-liquid density ratio causes a shorter sheet breakup (intact) length and reduced resultant drop size associated with larger dominant wave numbers. The present theoretical predictions are compared to experimental data, and empirical correlations and favorable agreement is observed.


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