A theoretical investigation of particle trajectories through a Prandtl-Meyer expansion fan
Johnson, Grant R.
Marble, Frank E.
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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 y and n is shown, where y is the ratio of specific heats of the gas, and n/2 is the exponent in u/u2 = (T/T(o)), 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.
This thesis document was issued under the authority of another institution, not NPS. At the time it was written, a copy was added to the NPS Library Collection for reasons not now known. It has been included in the digital archive for its historical value to NPS. Not believed to be a CIVINS (Civilian Institutions) title.
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