A fully temporal linear stability analysis for round liquid jets is accomplished in this study. Three-dimensional disturbances are considered and a detailed parametric investigation is performed. The results indicate that only the nonaxisymmetric mode with azimuthal wavenumber may prevail over the axisymmetric mode and appear to dominate the maximum growth rate. The domain in which the nonaxisymmetric modes may start to grow is also clarified. A comparison with experimental observations in the literature is also presented. The results provide a complete understanding of the stability characteristics of round liquid jets.
REFERENCES
1.
S. P.
Lin
, Breakup of Liquid Sheets and Jets
(Cambridge University Press
, Cambridge
, 2003
).2.
L.
Rayleigh
, “On the instability of jets
,” Proc. London Math. Soc.
10
, 4
(1879
).3.
K. C.
Chaudhary
and L. G.
Redekopp
, “The nonlinear capillary instability of a liquid jet. Part 1. Theory
,” J. Fluid Mech.
96
, 257
(1980
).4.
A. J.
Grant
, “A numerical model of instability in axisymmetric jets
,” J. Fluid Mech.
66
, 707
(1974
).5.
S. P.
Lin
and Z. W.
Lian
, “Absolute instability of a liquid jet in a gas
,” Phys. Fluids A
1
, 490
(1989
).6.
J. W.
Hoyt
and J. J.
Taylor
, “Waves on the water jets
,” J. Fluid Mech.
83
, 119
(1977
).7.
J. W.
Hoyt
and J. J.
Taylor
, “Turbulence structure in a water jet discharging in air
,” Phys. Fluids
20
, 253
(1977
).8.
W. O. H.
Mayer
and R.
Branam
, “Atomization characteristics on the surface of a round liquid jet
,” Exp. Fluids
36
, 528
(2004
).9.
H. Q.
Yang
, “Nonaxisymmetric instability of a liquid jet
,” Phys. Fluids A
4
, 681
(1992
).10.
S. P.
Lin
and R.
Webb
, “Nonaxisymmetric evanescent waves in a viscous liquid jet
,” Phys. Fluids
6
, 2545
(1994
).11.
E.
Avital
, “Nonaxisymmetric instability of a viscid capillary jet in an inviscid media
,” Phys. Fluids
7
, 1162
(1995
).12.
X.
Li
, “Mechanism of atomization of a liquid jet
,” Atomization Sprays
5
, 89
(1995
).13.
E. A.
Ibrahim
, “Nonaxisymmetric instability of a viscous liquid jet
,” J. Colloid Interface Sci.
189
, 181
(1997
).14.
A.
Bejan
, Convection Heat Transfer
, 2nd ed. (Wiley
, New York
, 1995
), Sec. 6.3, pp. 274
–277
.© 2008 American Institute of Physics.
2008
American Institute of Physics
You do not currently have access to this content.