Slow steady rotation of axially symmetric bodies in a viscous fluid

Author:

Kanwal R. P.

Abstract

The Stokes flow problem is considered here for the case in which an axially symmetric body is uniformly rotating about its axis of symmetry. Analytic solutions are presented for the heretofore unsolved cases of a spindle, a torus, a lens, and various special configurations of a lens. Formulas are derived for the angular velocity of the flow field and for the couple experienced by the body in each case.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference9 articles.

1. Payne, L. E. & Pell, W. H. 1960 The Stokes flow problem for a class of axially symmetric bodies.J. Fluid Mech. 7,529–49.

2. Lamb, H. 1954 Hydrodynamics .Dover Publications.

3. Hyman, M. A. 1954 Concerning analytic solutions of the generalized potential equation.Proc. K. Akad. Wet., Amst. A,57,408–13.

4. Hobson, E. W. 1931 The Theory of Spherical and Ellipsoidal Harmonics .Cambridge University Press.

5. Payne, L. E. 1952 On axially symmetric flow and the method of generalized electrostatics.Quart. Appl. Math.,10,197–204.

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