Abstract

The circumferential (and transverse) velocity profile is examined in external and internal flow problems. The various cases, unbounded, semi-bounded and fully bounded, are examined and expressions are developed for each one of them, taking viscous and compressibility effects into account. A comprehensive and generalised description is presented which considers the transfer of vorticity along the streamlines and provides simple expressions for the circumferential velocity profiles which, although different from previous attempts, have as particular cases the results of Johnston’s and Hawthorne’s work.

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