Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 19
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Blondeaux, Paolo Vittori, Giovanna and Mazzuoli, Marco 2016. Pattern formation in a thin layer of sediment. Marine Geology, Vol. 376, p. 39.


    Ley, Yovani Montaño and Carbajal, Noel 2016. Sand Waves Generation: A Numerical Investigation of the Infiernillo Channel in the Gulf of California. Open Journal of Marine Science, Vol. 06, Issue. 03, p. 412.


    Thomas, Christian Blennerhassett, P. J. Bassom, Andrew P. and Davies, Christopher 2015. The linear stability of a Stokes layer subjected to high-frequency perturbations. Journal of Fluid Mechanics, Vol. 764, p. 193.


    Blondeaux, Paolo and Vittori, Giovanna 2014. The flow over bedload sheets and sorted bedforms. Continental Shelf Research, Vol. 85, p. 9.


    Ozdemir, Celalettin E. Hsu, Tian-Jian and Balachandar, S. 2014. Direct numerical simulations of transition and turbulence in smooth-walled Stokes boundary layer. Physics of Fluids, Vol. 26, Issue. 4, p. 045108.


    Thomas, Christian Davies, Christopher Bassom, Andrew P. and Blennerhassett, P. J. 2014. Evolution of disturbance wavepackets in an oscillatory Stokes layer. Journal of Fluid Mechanics, Vol. 752, p. 543.


    Vittori, Giovanna and Blondeaux, Paolo 2014. The boundary layer at the bottom of a solitary wave and implications for sediment transport. Progress in Oceanography, Vol. 120, p. 399.


    Blondeaux, Paolo and Vittori, Giovanna 2012. RANS modelling of the turbulent boundary layer under a solitary wave. Coastal Engineering, Vol. 60, p. 1.


    Thomas, C. Bassom, A. P. and Blennerhassett, P. J. 2012. The linear stability of oscillating pipe flow. Physics of Fluids, Vol. 24, Issue. 1, p. 014106.


    Mazzuoli, M Vittori, G and Blondeaux, P 2011. Turbulent spots in a Stokes boundary layer. Journal of Physics: Conference Series, Vol. 318, Issue. 3, p. 032032.


    Vittori, Giovanna and Blondeaux, Paolo 2011. Characteristics of the boundary layer at the bottom of a solitary wave. Coastal Engineering, Vol. 58, Issue. 2, p. 206.


    Luo, Jisheng and Wu, Xuesong 2010. On the linear instability of a finite Stokes layer: Instantaneous versus Floquet modes. Physics of Fluids, Vol. 22, Issue. 5, p. 054106.


    Thomas, Christian Bassom, Andrew P. Blennerhassett, P. J. and Davies, Christopher 2010. Direct numerical simulations of small disturbances in the classical Stokes layer. Journal of Engineering Mathematics, Vol. 68, Issue. 3-4, p. 327.


    Sánchez-Badorrey, Elena Mans, Christian Bramato, Simona and Losada, Miguel A. 2009. High-order oscillatory contributions to shear stress under standing regular wave groups: Theory and experimental evidence. Journal of Geophysical Research, Vol. 114, Issue. C3,


    Blennerhassett, P.J and Bassom, A. P 2008. On the linear stability of Stokes layers. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue. 1876, p. 2685.


    Wu, Xuesong and Luo, Jisheng 2008. 5th AIAA Theoretical Fluid Mechanics Conference.

    CAPPIETTI, L. and CHOPARD, B. 2006. A LATTICE BOLTZMANN STUDY OF THE 2D BOUNDARY LAYER CREATED BY AN OSCILLATING PLATE. International Journal of Modern Physics C, Vol. 17, Issue. 01, p. 39.


    Zhou, H. Martinuzzi, R. J. Khayat, R. E. Straatman, A. G. and Abu-Ramadan, E. 2003. Influence of wall shape on vortex formation in modulated channel flow. Physics of Fluids, Vol. 15, Issue. 10, p. 3114.


    Verzicco, R. and Vittori, G. 1996. Direct simulation of transition in Stokes boundary layers. Physics of Fluids, Vol. 8, Issue. 6, p. 1341.


    ×
  • Journal of Fluid Mechanics, Volume 264
  • April 1994, pp. 107-135

Wall imperfections as a triggering mechanism for Stokes-layer transition

  • P. Blondeaux (a1) and G. Vittori (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112094000601
  • Published online: 01 April 2006
Abstract

The boundary layer generated by the harmonic oscillations of a wavy wall in a fluid otherwise at rest is studied. First the wall waviness is assumed to be of small amplitude and large values of the Reynolds number are considered. The results obtained by means of a linear analysis, where the time variable appears only as a parameter, show that resonance may occur. Indeed it is found that when the Reynolds number is larger than a critical value, an instant within the decelerating part of the cycle exists such that a waviness of infinitesimal amplitude induces unbounded perturbations of the flow in the Stokes layer. The passage through resonance is then studied by means of a multiple-timescale approach, taking into account the damping effect of local acceleration within a small time range around resonance. The asymptotic approach fails beyond a threshold value of the Reynolds number, because the damping effect of the local acceleration terms spreads over the whole cycle. The problem is then tackled by means of an approach that takes into account the above damping effect throughout the whole cycle. Finally, a numerical procedure is used that also allows the inclusion of nonlinear terms and the study of the interactions among forced and free modes. The numerical approach reveals that, even for relatively large values of the amplitude of the wall waviness, nonlinear effects are negligible and the damping of resonance is mainly due to local acceleration effects. The relevance of the results to the understanding of transition to turbulence in Stokes layers is discussed.

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