Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 264
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Boronin, Sergei A. and Osiptsov, Alexander N. 2016. Nonmodal instability of a stratified plane-channel suspension flow with fine particles. Physical Review E, Vol. 93, Issue. 3,


    Chagelishvili, George Hau, Jan-Niklas Khujadze, George and Oberlack, Martin 2016. Mechanical picture of the linear transient growth of vortical perturbations in incompressible smooth shear flows. Physical Review Fluids, Vol. 1, Issue. 4,


    Downs, Robert S. Fallenius, Bengt Fransson, Jens and Mårtensson, Hans 2016. 54th AIAA Aerospace Sciences Meeting.

    Ducoin, A. Loiseau, J.-Ch. and Robinet, J.-Ch. 2016. Numerical investigation of the interaction between laminar to turbulent transition and the wake of an airfoil. European Journal of Mechanics - B/Fluids, Vol. 57, p. 231.


    Dyachenko, S. and Newell, A. C. 2016. Whitecapping. Studies in Applied Mathematics, Vol. 137, Issue. 2, p. 199.


    Fuaad, P.A. Baig, M.F. and Ahmad, H. 2016. Drag-reduction in buoyant and neutrally-buoyant turbulent flows over super-hydrophobic surfaces in transverse orientation. International Journal of Heat and Mass Transfer, Vol. 93, p. 1020.


    MANNEVILLE, Paul 2016. Transition to turbulence in wall-bounded flows: Where do we stand?. Mechanical Engineering Reviews, Vol. 3, Issue. 2, p. 15-00684.


    Paredes, Pedro Choudhari, Meelan M. and Li, Fei 2016. 46th AIAA Fluid Dynamics Conference.

    Paredes, Pedro Choudhari, Meelan M. Li, Fei and Chang, Chau-Lyan 2016. Optimal Growth in Hypersonic Boundary Layers. AIAA Journal, p. 1.


    Paredes, Pedro Choudhari, Meelan M. Li, Fei and Chang, Chau-Lyan 2016. 54th AIAA Aerospace Sciences Meeting.

    Philip, Jimmy Karp, Michael and Cohen, Jacob 2016. Streak instability and generation of hairpin-vortices by a slotted jet in channel crossflow: Experiments and linear stability analysis. Physics of Fluids, Vol. 28, Issue. 1, p. 014103.


    Ren, Jie and Fu, Song 2016. 46th AIAA Fluid Dynamics Conference.

    Saha, Sandeep Page, Jacob and Zaki, Tamer A. 2016. Disturbance amplification in boundary layers over thin wall films. Physics of Fluids, Vol. 28, Issue. 2, p. 024108.


    Sescu, Adrian and Afsar, Mohammed 2016. 54th AIAA Aerospace Sciences Meeting.

    Van den Eynde, Jeroen P. J. P. and Sandham, Neil D. 2016. Numerical Simulations of Transition due to Isolated Roughness Elements at Mach 6. AIAA Journal, Vol. 54, Issue. 1, p. 53.


    Zhao, Yunfei Liu, Wei Xu, Dan Gang, Dundian and Yi, Shihe 2016. A combined experimental and numerical investigation of roughness induced supersonic boundary layer transition. Acta Astronautica, Vol. 118, p. 199.


    2016. Principles of Turbulence Control.


    Alizard, Frédéric 2015. Linear stability of optimal streaks in the log-layer of turbulent channel flows. Physics of Fluids, Vol. 27, Issue. 10, p. 105103.


    Camarri, Simone 2015. Flow control design inspired by linear stability analysis. Acta Mechanica, Vol. 226, Issue. 4, p. 979.


    Cao, Wei-dong Hu, Qi-xiang and Liu, Bing 2015. Receptivity of plane Poiseuille flow to local micro-vibration disturbance on wall. Water Science and Engineering, Vol. 8, Issue. 2, p. 145.


    ×

A note on an algebraic instability of inviscid parallel shear flows

  • M. T. Landahl (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112080000122
  • Published online: 01 April 2006
Abstract

It is shown that all parallel inviscid shear flows of constant density are unstable to a wide class of initial infinitesimal three-dimensional disturbances in the sense that, according to linear theory, the kinetic energy of the disturbance will grow at least as fast as linearly in time. This can occur even when the disturbance velocities are bounded, because the streamwise length of the disturbed region grows linearly with time. This finding may have implications for the observed tendency of turbulent shear flows to develop a longitudinal streaky structure.

Copyright
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? *
×
MathJax