Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 10
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Orizaga, Saulo and Riahi, Daniel N. 2015. On nonlinear spatio-temporal instability regime for electrically forced viscous jets [Errata Corrige]. International Journal of Non-Linear Mechanics, Vol. 74, p. 38.

    Orizaga, Saulo Riahi, Daniel N. and Steven Hou, L. 2014. Nonlinear spatio-temporal instability regime for electrically forced viscous jets. International Journal of Non-Linear Mechanics, Vol. 67, p. 218.

    Otto, Thomas Rossi, Maurice and Boeck, Thomas 2013. Viscous instability of a sheared liquid-gas interface: Dependence on fluid properties and basic velocity profile. Physics of Fluids, Vol. 25, Issue. 3, p. 032103.

    Lundell, Fredrik Söderberg, L. Daniel and Alfredsson, P. Henrik 2011. Fluid Mechanics of Papermaking. Annual Review of Fluid Mechanics, Vol. 43, Issue. 1, p. 195.

    Orizaga, Saulo and Riahi, Daniel N. 2011. Resonant instability and nonlinear wave interactions in electrically forced jets. Nonlinear Analysis: Real World Applications, Vol. 12, Issue. 2, p. 1300.

    Riahi, D.N. 2011. On spatial instability of an electrically forced non-axisymmetric jet with curved centerline. Applied Mathematical Modelling, Vol. 35, Issue. 3, p. 1124.

    Tammisola, Outi Lundell, Fredrik and Söderberg, L. Daniel 2011. Effect of surface tension on global modes of confined wake flows. Physics of Fluids, Vol. 23, Issue. 1, p. 014108.

    Riahi, D.N. 2009. On spatial instability of electrically forced axisymmetric jets with variable applied field. Applied Mathematical Modelling, Vol. 33, Issue. 9, p. 3546.

    Durbin, S. G. Yoda, M. and Abdel-Khalik, S. I. 2007. Initial Conditions and Near-Field Dynamics in Turbulent Liquid Sheets. Flow, Turbulence and Combustion, Vol. 79, Issue. 3, p. 307.

    SATO, Yuichi MIURA, Shuichi NAGAMINE, Takuo MORII, Shigeki and OHKUBO, Seiji 2007. Behavior of a Falling Water Sheet. Journal of Environment and Engineering, Vol. 2, Issue. 2, p. 394.

  • Journal of Fluid Mechanics, Volume 493
  • October 2003, pp. 89-119

Absolute and convective instability of a relaxational plane liquid jet

  • L. DANIEL SÖDERBERG (a1) (a2)
  • DOI:
  • Published online: 01 October 2003

The stability of a plane relaxational liquid jet has been studied theoretically and experimentally through linear stability analysis and flow visualizations. The relaxational liquid jet is obtained by the outflow of a liquid from a plane channel with an upstream fully developed Poiseuille flow into an ambient stagnant gas. Linear spatial stability calculations show that there are five convectively unstable modes, three sinuous and two dilatational. The spatial stability calculations are compared to experimental results for wavenumber variation and the growth of waves found in the visualizations. These variations have been quantified with a wavelet transform and through a comparison with the spatial stability results the type of mode observed in the visualizations has been determined. For this type of mode the calculated wavenumber variation is in good agreement with the experimental results. Also, in the experiments the breakup of the jet has been observed when the Reynolds number reaches a certain value, and as the Reynolds number increases this breakup moves closer to the channel exit. This upstream movement of the breakup can be explained by the linear stability results. Finally the relaxational liquid jet is shown to be absolutely unstable for a certain parameter region. Close to the nozzle both a sinuous mode and a dilatational mode are shown to be absolutely unstable. As the jet profile relaxes to uniform, the sinuous mode is shown to be the only unstable mode. This occurs for Weber numbers ${\it We} < 1$, which is in agreement with the theory for liquid jets with uniform velocity profile. The frequency selection for the observed waves is believed to be related to the region of absolute instability located closest to the channel exit.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *