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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Turner, M R Healey, J J Sazhin, S S and Piazzesi, R 2012. Wave packet analysis and break-up length calculations for an accelerating planar liquid jet. Fluid Dynamics Research, Vol. 44, Issue. 1, p. 015503.


    Turner, M.R. Sazhin, S.S. Healey, J.J. Crua, C. and Martynov, S.B. 2012. A breakup model for transient Diesel fuel sprays. Fuel, Vol. 97, p. 288.


    Agostinho, L. L. F. Tamminga, G. Yurteri, C. U. Brouwer, S. P. Fuchs, E. C. and Marijnissen, J. C. M. 2012. Morphology of water electrosprays in the simple-jet mode. Physical Review E, Vol. 86, Issue. 6,


    Tharakan, T. Mukhopadhyay, Achintya Datta, Amitava and Jog, Milind 2013. Trends in Comprehensive Modeling of Spray Formation. International Journal of Spray and Combustion Dynamics, Vol. 5, Issue. 2, p. 123.


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  • Journal of Fluid Mechanics, Volume 668
  • February 2011, pp. 384-411

Stability analysis and breakup length calculations for steady planar liquid jets

  • M. R. TURNER (a1), J. J. HEALEY (a2), S. S. SAZHIN (a1) and R. PIAZZESI (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112010004787
  • Published online: 13 December 2010
Abstract

This study uses spatio-temporal stability analysis to investigate the convective and absolute instability properties of a steady unconfined planar liquid jet. The approach uses a piecewise linear velocity profile with a finite-thickness shear layer at the edge of the jet. This study investigates how properties such as the thickness of the shear layer and the value of the fluid velocity at the interface within the shear layer affect the stability properties of the jet. It is found that the presence of a finite-thickness shear layer can lead to an absolute instability for a range of density ratios, not seen when a simpler plug flow velocity profile is considered. It is also found that the inclusion of surface tension has a stabilizing effect on the convective instability but a destabilizing effect on the absolute instability. The stability results are used to obtain estimates for the breakup length of a planar liquid jet as the jet velocity varies. It is found that reducing the shear layer thickness within the jet causes the breakup length to decrease, while increasing the fluid velocity at the fluid interface within the shear layer causes the breakup length to increase. Combining these two effects into a profile, which evolves realistically with velocity, gives results in which the breakup length increases for small velocities and decreases for larger velocities. This behaviour agrees qualitatively with existing experiments on the breakup length of axisymmetric jets.

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Email address for correspondence: m.r.turner@brighton.ac.uk
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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