Skip to main content
SpringerLink
Log in

Nonlinear Wave Motions in Stratified Boundary Layers

  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract:

We consider nonlinear wave motions in strongly buoyant mixed forced–free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Adelaide, Adelaide, SA 5005, Australia, , , , , , AU

    James P. Denier & Jillian A.K. Stott

  2. School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia, , , , , , AU

    Eunice W. Mureithi

Authors
  1. James P. Denier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jillian A.K. Stott
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Eunice W. Mureithi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received 10 December 1996 and accepted 14 April 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Denier, J., Stott, J. & Mureithi, E. Nonlinear Wave Motions in Stratified Boundary Layers . Theoret. Comput. Fluid Dynamics 10, 105–114 (1998). https://doi.org/10.1007/s001620050053

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001620050053

Keywords

Search

Navigation