Elaboration of Hocking's hydrodynamic theory

by C. L. Olson

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Part of a study of the physics of cloud particle collisions, this Memorandum is a verification and improvement of L. M. Hocking's hydrodynamic theory of collection efficiency. The resulting infinite sets of equations that must be solved for the forces acting on two spheres falling in a viscous medium corroborate Hocking; the author shows, however, that Hocking's solution of these equations has large errors if the spheres are close together. A suitable method for solving the equations is developed along with a procedure for accurately determining the errors.

This report is part of the RAND Corporation research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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