Viscous fluid flow created by the helical motion of a body of revolution

An investigation is made into the flow created by the helical, exponentially damped motion of a body of revolution in a viscous incompressible fluid stationary at points remote from the body. The forces exerted by the fluid on a body moving in this way are studied. It is shown that the induced flow is uniformly helical. The exposition is illustrated with reference to the example of the motion of a spherical surface. The exact and approximate (in the Stokes sense) solutions are compared. The classical results for the steady-state slow motions of a sphere (both translational and rotational) follow as particular cases.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 47–52, March–April, 1985.