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KINETIC THEORY OF THE AERODYNAMIC DRAG OF A SLOWLY ROTATING SPHERE.
CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES
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The drag of a sphere rotating slowly inside a concentric stationary sphere is analyzed for a range of values of the mean free path in the gas filling the space between the spheres. Knudsen iteration is used to predict the drag for high values of the Knudsen number, based on the ratio used to represent the gas phase collisions. Based on this result and that appropriate for slip flows low Knudsen number two interpolation formulas are suggested to predict the drag for arbitrary Knudsen number. The predictions from these formulas agree well with available experimental data. A solution of the problem, using the moment method proposed by Lees, Leads to a simple algebraic expression for the drag which is not in such good agreement with the data. Author
APPROVED FOR PUBLIC RELEASE