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Johnson, Grant Reed (1962-01-01) A theoretical investigation of particle trajectories through a Prandtl-Meyer expansion fan. http://resolver.caltech.edu/CaltechETD:etd-12212005-145547


Type of Document Engineer's Thesis
Author Johnson, Grant Reed
URN etd-12212005-145547
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-12212005-145547
Title A theoretical investigation of particle trajectories through a Prandtl-Meyer expansion fan
Degree Engineer's Degree
Option Aeronautics
Advisory Committee
Advisor Name Title
Frank E. Marble Committee Chair
Keywords
  • none
Date of Defense 1962-01-01
Availability unrestricted
Abstract
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.

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