On the unsteady nonNewtonian rotating flow induced by torsional oscillations of a disk
Abstract
The unsteady boundarylayer flow generated in an incompressible homogeneous elasticoviscous fluid bounded by an infinite rigid disk is investigated when the whole system is in a state of solidbody rotation with uniform angular velocity and, at some instant of time, the disk executes smallamplitude torsional oscillations with a given frequency. The analysis is carried out to determine various qualitative and quantitative information about the unsteady and steady velocity distributions, the structure of the associated multiple boundary layers, the effects of the elastic parameter and rotation on the flow, and the Ekman suction velocity with its physical significance. It has been shown that the steadystate flow field consists of the two distinct boundary layers which are modified by the angular velocity of rotation, the elastic parameter, and the frequency of the imposed oscillations. Several known results of physical interest are recovered as special cases.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 June 1975
 DOI:
 10.1007/BF02738938
 Bibcode:
 1975NCimB..27..181D
 Keywords:

 Boundary Layer Flow;
 Nonnewtonian Flow;
 Rotating Disks;
 Rotating Fluids;
 Torsional Vibration;
 Unsteady Flow;
 Angular Velocity;
 Constitutive Equations;
 Flow Distribution;
 Steady State;
 Structural Vibration;
 Velocity Distribution;
 Viscoelasticity;
 Fluid Mechanics and Heat Transfer