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New plane shear flows


Conley, Andrew (1994) New plane shear flows. Dissertation (Ph.D.), California Institute of Technology.


A classical problem in fluid dynamics is the study of the stability of plane Couette flow. This flow experimentally sustains turbulence for Reynolds numbers greater than 1440±40 (see [10],[5]). (The Reynolds number is based on channel width and wall velocity difference). Since plane Couette flow is linearly stable for all Reynolds numbers, obtaining non-trivial mathematical solutions to the plane Couette flow equations is difficult. However, M. Nagata [6] finds a non-trivial numerical solution of the plane Couette flow equations at low Reynolds number. We confirm these solutions. We compute the minimum Reynolds number at which they exist. We study their stability. We also study the effect of a Coriolis force on plane Poiseuille flow.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied And Computational Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Keller, Herbert Bishop
Thesis Committee:
  • Keller, Herbert Bishop (chair)
  • Pullin, Dale Ian
  • Meiron, Daniel I.
  • Saffman, Philip G.
Defense Date:9 June 1993
Record Number:CaltechETD:etd-10182005-102648
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4158
Deposited By: Imported from ETD-db
Deposited On:19 Oct 2005
Last Modified:26 Dec 2012 03:05

Thesis Files

PDF (Conley_a_1994.pdf) - Final Version
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