Abstract
Torsional flow of a second-order fluid contained between two infinite parallel disks is considered and the relevance of the analysis to the interpretation of results obtained using the parallel-disk viscometer is discussed. Inertia and gravitational effects are retained in the theory and particular attention is given to the special cases of flows generated by steady or oscillatory motion of one of the disks. Solutions are obtained using a perturbation scheme in which the dimensionless density is used as the small parameter. The form of the secondary flow is determined and expressions are obtained for the torque and total normal force required to support the motion.
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