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Theory of laminar viscous-inviscid interactions in supersonic flow


Klineberg, John Michael (1968) Theory of laminar viscous-inviscid interactions in supersonic flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/P246-JJ81.


This investigation is concerned with those fluid-mechanical problems in which the pressure distribution is determined by the interaction between an external, supersonic inviscid flow and an inner, laminar viscous layer. The boundary-layer approximations are assumed to remain valid throughout the viscous region, and the integral or moment method of Lees and Reeves, extended to include flows with heat transfer; is used in the analysis.

The general features of interacting flows are established, including the important distinctions between subcritical and supercritical viscous layers. The eigensolution representing self-induced boundary-layer flow along a semi-infinite flat plate is determined, and a consistent set of departure conditions is derived for determining solutions to interactions caused by external disturbances. Complete viscous-inviscid interactions are discussed in detail, with emphasis on methods of solution for both subcritical and supercritical flows. The method is also shown to be capable of predicting the laminar flow field in the near wake of blunt bodies.

Results of the present theory are shown to be in good agreement with the measurements of Lewis for boundary-layer separation in adiabatic and non-adiabatic compression corners, and with the near-wake experiments of Dewey and McCarthy for adiabatic flow over a circular cylinder. Extensions of the method to flows with mass injection at the surface and to subsonic interactions are indicated.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Engineering and Applied Science
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Lees, Lester
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 May 1968
Record Number:CaltechETD:etd-09252002-110303
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3749
Deposited By: Imported from ETD-db
Deposited On:26 Sep 2002
Last Modified:21 Dec 2019 04:37

Thesis Files

PDF (Klineberg_jm_1968.pdf) - Final Version
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