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A Theoretical Investigation of Particle Trajectories Through a Prandtl-Meyer Expansion Fan


Johnson, Grant Reed (1962) A Theoretical Investigation of Particle Trajectories Through a Prandtl-Meyer Expansion Fan. Engineer's thesis, California Institute of Technology. doi:10.7907/FTNK-N998.


NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. The equations of motion are developed and solved numerically for the trajectory of a spherical particle passing through a Prandtl-Meyer expansion fan. The effect of a change in [...] and n is shown, where [...] is the ratio of specific heats of the gas, and n/2 is the exponent in [...], the assumed viscosity temperature relationship. It is demonstrated that for particles the order of a micron in diameter, slip flow will exist, and a proposed correction to the drag to account for this discontinuous nature of the flow is investigated. The results are plotted showing particle trajectory profiles and the components of the relative velocity or slippage velocity of the particle for flow deflection angles up to 70 degrees.

Item Type:Thesis (Engineer's thesis)
Subject Keywords:(Aeronautical Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Marble, Frank E.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechETD:etd-12212005-145547
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5103
Deposited By: Imported from ETD-db
Deposited On:22 Dec 2005
Last Modified:22 Nov 2023 22:08

Thesis Files

PDF (Johnson_gr_1962.pdf) - Final Version
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