Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 88
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Bernard, Peter Crouch, Jeffrey Choudhari, Meelan Bogard, David and Thole, Karen 2016. Handbook of Fluid Dynamics, Second Edition.

    Denisov, Stanislav Faranosov, Georgy Ostrikov, Nikolay and Bychkov, Oleg 2016. 22nd AIAA/CEAS Aeroacoustics Conference.

    Gordon, Kathryn A. Jumper, Eric J. Jemcov, Aleksandar and Shi, Ke 2016. 54th AIAA Aerospace Sciences Meeting.

    Samanta, Arnab 2016. On the axisymmetric stability of heated supersonic round jets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol. 472, Issue. 2188, p. 20150817.

    Kopiev, V F Akishev, Y S Belyaev, I V Berezhetskaya, N K Bityurin, V A Faranosov, G A Grushin, M E Klimov, A I Kopiev, V A Kossyi, I A Moralev, I A Ostrikov, N N Taktakishvili, M I Trushkin, N I and Zaytsev, M Yu 2014. Instability wave control in turbulent jet by plasma actuators. Journal of Physics D: Applied Physics, Vol. 47, Issue. 50, p. 505201.

    Liu, Xin and Huang, Xun 2014. 20th AIAA/CEAS Aeroacoustics Conference.

    Garnaud, X. Lesshafft, L. Schmid, P. J. and Huerre, P. 2013. Modal and transient dynamics of jet flows. Physics of Fluids, Vol. 25, Issue. 4, p. 044103.

    Faranosov, G. A. 2012. A theoretical study of the efficiency of instability wave excitation in a two-dimensional nozzle edge model. Acoustical Physics, Vol. 58, Issue. 4, p. 503.

    Faranosov, Georgy 2012. 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference).

    Prinn, Albert Gabard, Gwenael and Beriot, Hadrien 2012. 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference).

    Azarpeyvand, Mahdi Gabard, Gwenael and Self, Rod 2011. 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference).

    Boyer, Germain Piot, Estelle and Brazier, Jean-Philippe 2011. Theoretical investigation of hydrodynamic surface mode in a lined duct with sheared flow and comparison with experiment. Journal of Sound and Vibration, Vol. 330, Issue. 8, p. 1793.

    Goldstein, M. 2011. Recent developments in the application of the Generalized Acoustic Analogy to jet noise prediction. International Journal of Aeroacoustics, Vol. 10, Issue. 2-3, p. 89.

    Ayub, M Naeem, A and Nawaz, Rab 2010. Diffraction of an impulsive line source with wake. Physica Scripta, Vol. 82, Issue. 4, p. 045402.

    Kooijman, G. Hirschberg, A. and Aurégan, Y. 2010. Influence of mean flow profile and geometrical ratios on scattering of sound at a sudden area expansion in a duct. Journal of Sound and Vibration, Vol. 329, Issue. 5, p. 607.

    Morris, Philip and Goldstein, M. 2010. Relation between the generalized acoustic analogy and Lilley's contributions to aeroacoustics. International Journal of Aeroacoustics, Vol. 9, Issue. 4-5, p. 401.

    Brambley, Edward James 2009. Fundamental problems with the model of uniform flow over acoustic linings. Journal of Sound and Vibration, Vol. 322, Issue. 4-5, p. 1026.

    Brambley, Edward 2008. 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference).

    BRAMBLEY, E. J. and PEAKE, N. 2008. Stability and acoustic scattering in a cylindrical thin shell containing compressible mean flow. Journal of Fluid Mechanics, Vol. 602,

    Casalino, D. Diozzi, F. Sannino, R. and Paonessa, A. 2008. Aircraft noise reduction technologies: A bibliographic review. Aerospace Science and Technology, Vol. 12, Issue. 1, p. 1.


Radiation properties of the semi-infinite vortex sheet: the initial-value problem

  • D. G. Crighton (a1) and F. G. Leppington (a1)
  • DOI:
  • Published online: 01 March 2006

The interaction between an acoustic source, an unstable shear layer and a large inhomogeneous solid surface is studied, using an idealized model in which a vortex sheet is generated by uniform subsonic flow on one side of a semi-infinite plate, and subjected to line-source irradiation. Both the steady-state (time-harmonic) and initial-value (impulsive source) situations are examined. In particular, the time-harmonic field which can develop in a causal manner from a quiescent initial state is examined, and a specific criterion is given by which one may obtain the correct causal harmonic solution without explicit consideration of an initial-value problem. The satisfaction of this criterion demands not only the presence in the harmonic problem of the Helmholtz instability of an infinite vortex sheet (Jones & Morgan 1972), but additionally the presence of an edge-scatttered instability which in real time consists of a singular line plus a tail. The harmonic solution is discussed in some detail, and the consequences of omitting the unstable solutions and thereby violating causality are shown greatly to affect the diffracted field in some circumstances. The general features of the initial-value problem are also dealt with, the various waves being classified and their arrival times at any point being given in simple form. The paper ends with some speculations as to the applicability of these phenomena to the description of the process of ‘parametric amplification’, by which sound generated within a duct can be greatly amplified in the far field by triggering unstable modes on the shear layer shed from the duct.

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? *