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Finite Amplitude Waves in Plane Poiseuille Flow


Pugh, Jeffrey David (1988) Finite Amplitude Waves in Plane Poiseuille Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/XHFQ-MJ23.


Nonlinear behavior in plane Poiseuille flow has attracted theoretical interest over the last decade, both because of its tractability and because it is believed that some of the results may be applicable to phenomena occurring in the boundary layer. We have investigated the existence of three-dimensional finite amplitude waves in plane Poiseuille flow, in the hope of finding candidates for a class of simple flows which might provide insight into the nature of turbulence. These so-called vortical states would exist as attractors for the turbulent flow and mimic many of its properties.

One of the requisite properties of these simple flows is existence at the low Reynolds numbers observed in experimental studies of transition to turbulence in plane Poiseuille flow. Although no such three-dimensional solutions were found in our study, a number of new insights have been made into the structure and stability of two- and three-dimensional steady wave solutions in plane Poiseuille flow. These in turn suggest new areas of investigation for finding vortical states.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Saffman, Philip G.
Thesis Committee:
  • Saffman, Philip G. (chair)
  • Meiron, Daniel I.
  • Kubota, Toshi
  • Lorenz, Jens
  • Leonard, Anthony
Defense Date:7 August 1987
Additional Information:Thesis file (PDF) missing pp. 25.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-85-K-0205
Department of Energy (DOE)DE-AS03-76ER-72012
Department of Energy (DOE)KC-07-01-01
Record Number:CaltechETD:etd-11072007-104253
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4446
Deposited By: Imported from ETD-db
Deposited On:27 Nov 2007
Last Modified:06 Feb 2020 22:44

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