Propagation of perturbation from a large sphere within an infinite fluid medium due to spin up
Abstract
A timedependent solution of the viscous flow around a large spherical body suddenly spun about one of its axes within an infinite incompressible fluid medium is obtained. An expression for the speed of propagation of the spherical wave front carrying the perturbation signal through the fluid medium is also provided for angular disturbances imparted to the sphere. It is found that the disturbances are propagated at a faster rate in a fluid with a higher value for its kinematic viscosity, and the speed of propagation slows down inversely as the square root of time.
 Publication:

Astronautica Acta
 Pub Date:
 April 1974
 Bibcode:
 1974AsAc...18..127S
 Keywords:

 Perturbation Theory;
 Propagation Velocity;
 Rotating Spheres;
 Spin Dynamics;
 Viscous Flow;
 Angular Velocity;
 Spacecraft Control;
 Spherical Waves;
 Time Dependence;
 Underwater Structures;
 Wave Propagation;
 Fluid Mechanics and Heat Transfer