Resistance polyadic, coefficients

In certain applications it is physically more enlightening to express the operator equations (81) and (82) in terms of polyadic resistance coefficients (B23, B24), rather than leaving them in their present symbolic forms. This may be achieved by utilizing the expansion... 

Substitution into (85) and (86) yields expressions for the force and torque in terms of these polyadic resistance coefficients. 

For a sphere of radius a these polyadic resistance coefficients are, upon choosing the origin 0 at the sphere center (B24),... 

Though relations of the form (109) and (110) are merely special cases of the more general symbolic operator relations (81) and (82), they may also be regarded as phenomenological equations in their own right. The polyadic resistance coefficients appearing therein can, at least in principle, be determined experimentally from appropriate measurements of the hydrodynamic forces and torques for an appropriate number of orientations of the particle relative to the principal axes of dilatation of the fluid motion. 

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See also in sourсe #XX -- [ , ]

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