Liquid Sheet Jet Experiments: Comparison With Linear Theory

1981 ◽  
Vol 103 (4) ◽  
pp. 595-603 ◽  
Author(s):  
H. R. Asare ◽  
R. K. Takahashi ◽  
M. A. Hoffman

It has been proposed to protect the structural walls of a future laser fusion reactor with a curtain or fluid-wall of liquid lithium jets. As part of the investigation of this concept, experiments have been performed on planar sheet water jets issuing vertically downward from slit nozzles. The nozzles were subjected to transverse forced harmonic excitation to simulate the vibrational environment of the laser fusion reactor, and experiments were run at both 1 atm and at lower ambient pressures. Linear stability theory is shown to predict the onset of the unstable regime and the initial spatial growth rates quite well for cases where the amplitudes of the nozzle vibration are not too large and the waveform is nearly sinusoidal. In addition, both the linear theory and a simplified trajectory theory are shown to predict the initial wave envelope amplitudes very well. For larger amplitude nozzle excitation, the waveform becomes highly nonlinear and nonsinusoidal and can resemble a sawtooth waveform in some cases; these latter experimental results can only be partially explained by existing theories at the present time.

1994 ◽  
Vol 04 (05) ◽  
pp. 1319-1328 ◽  
Author(s):  
WILLIAM B. ZIMMERMAN

The linear stability theory of Tan & Homsy [1986] is extended to include the effects of weak nonlinear coupling between mass flux and viscous effects when the viscous fingers grow from a slowly diffusing, nearly flat displacement front. A regular perturbation scheme combined with a similarity-separation of variables technique leads to a Landau equation for the amplitude of the disturbance. The Landau constant has a simple pole for a given wavenumber within the linear theory cutoff wavenumber for growth. An argument is given that this pole leads to pairing of fingers while the instability remains small. Comparison of the length scale of the pole of the Landau constant with experimental measurements of finger scale shows good agreement where plausibly finite-amplitude effects might come into play, but with the linear theory otherwise.


1985 ◽  
Vol 4 (4) ◽  
pp. 315-319 ◽  
Author(s):  
H. Nakashima ◽  
Y. Kanda ◽  
S. Ido
Keyword(s):  

2008 ◽  
Vol 83 (10-12) ◽  
pp. 1888-1892 ◽  
Author(s):  
T. Kunugi ◽  
T. Nakai ◽  
Z. Kawara ◽  
T. Norimatsu ◽  
Y. Kozaki

1997 ◽  
Author(s):  
Evgeny L. Saldin ◽  
Evgeny A. Schneidmiller ◽  
Yu. N. Ulyanov ◽  
Mikhail V. Yurkov

1983 ◽  
Vol 3 (5-6) ◽  
pp. 459-463
Author(s):  
Shunji Ido
Keyword(s):  

2003 ◽  
Vol 65 (3) ◽  
pp. 393-397 ◽  
Author(s):  
Takayoshi Norimatsu ◽  
Keiji Nagai ◽  
Tetsuji Takeda ◽  
Kunioki Mima ◽  
Tatsuhiko Yamanaka

2006 ◽  
Vol 133 ◽  
pp. 841-843 ◽  
Author(s):  
T. Norimatsu ◽  
T. Johzaki ◽  
H. Azechi ◽  
K. Mima ◽  
Y. Nakao ◽  
...  

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