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

Citation

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. https://resolver.caltech.edu/CaltechETD:etd-12212005-145547

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.

Thesis Files