Hostname: page-component-848d4c4894-v5vhk Total loading time: 0 Render date: 2024-06-20T13:23:12.715Z Has data issue: false hasContentIssue false
  • English
  • Français

The generation of capillary instabilities on a liquid jet

Published online by Cambridge University Press:  21 April 2006

S. J. Leib  and
M. E. Goldstein
S. J. Leib
Affiliation:
NASA Lewis Research Center, Cleveland, OH 44135, USA
M. E. Goldstein
Affiliation:
NASA Lewis Research Center, Cleveland, OH 44135, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The coupling between imposed disturbances and capillary instabilities on a liquid jet is examined. It is shown that in most physical situations the forcing produces neutral waves which can then turn into growing waves as the profile relaxes or may be amplified nonlinearly by a mechanism of the type considered by Akylas & Benney (1980). The effectiveness of the coupling is expressed quantitatively by numerically computed values of the ‘coupling coefficient’.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 168 , July 1986 , pp. 479 - 500
Copyright
© 1986 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Akylas, T. R. & Benney D. J.1980 Direct resonance in non-linear wave systems. Stud. Appl. Maths 63, 209–226.Google Scholar
Benney, D. J. & Bergeron R. F.1969 A new class of non-linear waves in parallel flows. Stud. Appl. Maths 48, 181–204.Google Scholar
Brazier-Smith, P. R. & Scott J. F.1984 Stability of fluid flow in the presence of a compliant surface. Wave Motion 6, 547–560.Google Scholar
Briggs R. J.1964 Electron Stream Interaction with Plasmas. MIT Press.
Cargill A. M.1979 Low frequency sound radiation due to the interaction of unsteady flows with a jet pipe. In Mechanics of Sound Generation in Flows, pp. 19–25. Springer.
Crighton, D. G. & Leppington F. G.1974 Radiation properties of the semi-infinite vortex sheet. J. Fluid Mech. 64, 393–414.Google Scholar
Drazin, P. G. & Reid W. H.1981 Hydrodynamic Stability. Cambridge University Press.
Keller J. B., Rubinow, S. I. & Tu Y. O.1973 Spatial instability of a jet Phys. Fluids 16, 2052–2055.Google Scholar
Koch W.1985 Local instability characteristics and frequency determination of self-excited wake flows. J. Sound Vib. 99, 53–83.Google Scholar
Lighthill M. J.1958 An Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press.
Lin C. C.1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Morkovin M. V.1969 Critical evaluation of transition from laminar to turbulent shear layer with emphasis on hypersonically travelling bodies. Air Force Flight Dynamics Lab. Rep. AFFDL-TR-68–149. (AD-686178).Google Scholar
Munt R. M.1977 The interaction of sound with a subsonic jet issuing from a semi-infinite circular pipe. J. Fluid Mech. 83, 609–690.Google Scholar
Noble B. 1958 Methods Based on the Wiener—Hopf Technique for the Solution of Partial Differential Equations. Pergamon.
Rayleigh Lord1878 On the instability of jets. Proc. Lond. Math. Soc. 10, 4–13.Google Scholar
Rienstra S. W.1981 On the acoustical implications of vortex shedding from an exhaust pipe. J. Engng Ind. 103, 378–384.Google Scholar
Roos B. W.1969 Analytic Functions and Distributions in Physics and Engineering. Wiley.
Scriven, L. E. & Pigford R. L.1959 Fluid dynamics and diffusion calculation for laminar liquid jets. AIChE J. 5, 397–402.Google Scholar