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Coherent Capillary Wave Structure Revealed by ISS Experiments for Spontaneous Nozzle Jet Disintegration

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Abstract

A series of International Space Station (ISS) experiments were conducted to observe the disintegration feature of a water jet issued from an orifice/nozzle into atmospheric air. The purpose was to validate our proposal that any laminar liquid jet can spontaneously disintegrate by its own self-destabilizing loop formed along the jet. This paper reports the experiment results focusing on a water jet issued from a nozzle with a radius 0.4 mm and length 120 mm, in which the parabolic velocity profile relaxes toward that of a plug flow along the jet. As predicted in our proposal, the nozzle jet had a two-valued breakup distance in a certain jet issue speed range and exhibited hysteresis behaviors, indicating that the jet disintegration state is determined by past jet disintegration history. Analyses of video images suggest the establishment of a coherent capillary wave structure in the steady jet disintegration state. New fundamental theories were developed to examine the underlying physics involved. The short-length breakup mode was confirmed to essentially follow the same self-destabilizing mechanism as that of the plug flow jet, in which the upstream propagating capillary wave produced by the release of surface energy due to jet tip contraction or nonlinear unstable wave growth is reflected at the orifice, and becomes the unstable wave responsible for jet disintegration. In the long-length breakup mode, the velocity profile relaxation plays a role equivalent to an orifice and the average nozzle jet length is expressed as the sum of the velocity profile relaxation length and average orifice jet length at large jet issue speeds. This paper focuses on the coherent capillary wave structure of long-length breakup mode.

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Abbreviations

a :

inner radius of injector

c :

complex phase velocity(=cr + ici)

D :

diffusivity(\( = Va/\sqrt{2} \))

f :

complex function defined in Eq. (16)

G :

Green function

k :

wavenumber

\( \overline{L} \) :

average jet length

L B :

breakup distance

L e :

Boussinesq inlet length

:

nozzle length

m :

integer

n :

integer

R :

inner radius of syringe barrel

Red :

Reynolds numer of nozzle flow

r s :

local jet surface radius

r’:

surface displacement(= rs-a)

T :

breakup period

t :

time

U :

jet discharge speed, jet speed

u max :

centerline velocity of nozzle jet

u s :

surface velocity of nozzle jet

V :

jet tip contraction speed (=\( \sqrt{\sigma /\rho a} \))

v :

piston rot speed

We:

Weber number(=(U/V)2)

x :

axial coordinate

Δu :

excess velocity from surface velocity (=umax-us)

δ:

Diracs delta function

ε:

surface deformation amplitude

λ:

wavelength

λs :

wavelength of standing wave

ρ:

density of water

σ:

surface tension coefficient of water

τ:

instant when an impulsive force is applied

ϕ:

=cr’/Δu

Ω:

frequency of most unstable wave

ω:

frequency(=kcr)

ωS :

resonant frequency(=kcr)

LLBUM:

long-length breakup mode

MPT:

maximum point trajectory

SLBUM:

short-length breakup mode

TCW:

tip contraction wave

VPR:

velocity profile relaxation

References

  1. Clanet, C., Lasheras, J.C.: Transition from dripping to jetting. J. Fluid Mech. 383, 307–326 (1999)

  2. Eggers, J., Dupont, T.F.: Drop formation in a one-dimensional approximation of the Navier-Stokes equation. J. Fluid Mech. 262, 205–222 (1994)

  3. Eggers, J., Villermaux, E.: Physics of liquid jets. Rep. Prog. Phys. 71, 036601 (2008)

  4. Fei, L., Ikebukuro, K., Katsuta, T., Kaneko, T., Ueno, I., Petti, D.R.: Effect of static deformation on basic flow patterns in thermocapillary-driven free liquid film. Microgravity Sci. Technol. 29, 29–36 (2017)

  5. Fineberg, A.H., Salgado Sanchez, P., Tinao, L., Ezquerro, J.M.: The CFVib experiment: control of fluids in microgravity with vibrations. Microgravity Sci. Technol. 29, 351–364 (2017)

  6. Goedde, E.F., Yuen, M.C.: Experiments on liquid jet instability. J. Fluid Mech. 40, 495–511 (1970)

  7. Huerre, P., Monkewitz, P.A.: Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473–537 (1990)

  8. Keller, J.B., Ubnow, S.L., Tu, Y.O.: Spatial instability of a jet. Phys. Fluids. 16, 2052–2055 (1973)

  9. Lee, H.C.: Drop formation in a liquid jet. IBM J. Res. Dev. 18, 364–369 (1974)

  10. Leib, S.J., Goldstein, M.E.: The generation of cappilary instabilities on a luid jet. J.Fluid Mech. 168, 479–500 (1986)

  11. Lin, S.P.: Breakup of liquid sheets and jets. Cambridge University Press, London (2003)

  12. McCarthy, M.J., Malloy, N.A.: Review of stability of liquid jets and the influence of nozzle design. Chem. Eng. J. 5, 1–20 (1974)

  13. Rayleigh, L.: On the instability of jets. Proc. Lond. Math. Soc. 10, 4–13 (1878)

  14. Schulke, R.M.S.M.: The contraction of liquid filaments. J. Fluid Mech. 309, 277–300 (1996)

  15. Townsend, A.A.: The structure of turbulent shear flow, 2nd edn. Cambridge University Press, London (1976)

  16. Umemura, A.: Self-destabilizing mechanism of circular liquid jet, 4th report: persistent generation of unstable wave at nozzle exit. Trans. Jpn. Soc. Aeronaut. Space Sci. 56, 433–441 (2008)

  17. Umemura, A.: Self-destabilizing mechanism of a laminar inviscid liquid jet issuing from a circular nozzle. Phys. Rev. E83, 046307 (2011)

  18. Umemura, A.: Model for the initiation of atomization in a high-speed laminar liquid jet. J. Fluid Mech. 757, 665–700 (2014)

  19. Umemura, A.: Self-destabilizing loop of a low-speed water jet emanating from an orifice in microgravity. J. Fluid Mech. 797, 146–180 (2016)

  20. Umemura, A., Osaka, J.: Self-destabilizing loop observed in a jetting-to-dripping transition. J. Fluid Mech. 752, 184–218 (2014)

  21. Umemura, A., Kawanabe, S., Suzuki, S., Osaka, J.: Two-valued breakup length of a water jet issuing from a finite-length nozzle under noral gravity. Phys. Rev. E84, 036309 (2011)

  22. Yano, T., Nishino, K., Matsumoto, S., Ueno, I., Komiya, Y., Imaishi, N.: Report on microgravity experiments of dynamic surface deformation effects on Marangoni instability in high-Prandtl-number liquid bridges. Microgravity Sci. Technol. 30, 599–610 (2018)

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Correspondence to Akira Umemura.

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Umemura, A., Osaka, J., Shinjo, J. et al. Coherent Capillary Wave Structure Revealed by ISS Experiments for Spontaneous Nozzle Jet Disintegration. Microgravity Sci. Technol. (2020) doi:10.1007/s12217-019-09756-0

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Keywords

  • Microgravity
  • Spontaneous nozzle jet disintegration
  • Velocity profile relaxation
  • Capillary wave
  • Linear stability analysis
  • Self-destabilizing loop