Skip to main content Accessibility help

A planar pulsating jet

  • N. RILEY (a1), M. SÁNCHEZ-SANZ (a2) and E. J. WATSON (a3)


We are concerned with the behaviour of a two-dimensional jet that issues from a planar orifice, with a ‘top-hat’ profile. At the orifice the steady flow is modulated by a time-harmonic fluctuation. A suitably defined Reynolds number is assumed to be large throughout. At large streamwise distances from the orifice, the time-averaged flow yields the classical, Bickley, jet with a suitable virtual origin. This decays algebraically whilst, by contrast, the unsteady component decays exponentially with streamwise distance. An asymptotic theory confirms the exponential decay and provides a good agreement with the numerical solution.


Corresponding author

Email address for correspondence:


Hide All
Bickley, W. G. 1937 The plane jet. Phil. Mag. 23, 727731.
Schlichting, H. 1933 Laminare Strahlausbreitung. Z. angew. Math. Mech. 13, 260263.
MathJax is a JavaScript display engine for mathematics. For more information see

A planar pulsating jet

  • N. RILEY (a1), M. SÁNCHEZ-SANZ (a2) and E. J. WATSON (a3)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed