Abstract

The effects of rotary Brownian motion upon the rotation of axisymmetric particles of equivalent axis ratio re and rotary diffusion coefficient Dr are analyzed theoretically by solving the rotary convective diffusion equation. The solution is valid for times t for which Drt≪r−4e when re ⩾ 1 and re when re⩽ 1. It is shown that when the average period of rotationT¯about the vorticity axis for such particles is properly defined,T¯and its mean deviation depend on the initial orientation of the particles in the flow. The theory is illustrated by numerical calculations mainly for pairs of touching spheres over a wide range of values of the various relevant parameters. A number of corroborative experiments on doublets of spheres are described in Part XI.

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