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Legendre Coefficients For Series Solution Of The Orientation Distribution Function For Ellipsoidal Macromolecules In Two-Dimensional Laminar Flow, Myrne R. Riley
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The double refraction and viscosity of a suspension of asymmetrical colloidal particles subject to continuous laminar flow vary with the orientation distribution of the suspended particles produced by the shearing field and Brownian motion. Recursion formulas are developed for the Legendre coefficients of the series solution of the orientation distribution function for a suspension subject to two-dimensional laminar flow, thus, extending the works of Peterlin, Wayland, and Scheraga. © 1973.