A theory for secondary flow phenomena in nonNewtonian fluids
Abstract
An asymptotic theory is presented to determine the flow of an incompressible nonNewtonian fluid bounded by two rigid surfaces of revolution which rotate with different small angular velocities about the common axis. The gap may be filled either completely or partially so that the fluid has a free surface. The method is based on the concept of primary and secondary flow. The primary flow turns out to be the creeping flow of a Newtonian fluid which is characterized by circular stream lines perpendicular to the axis of rotation. It induces a field of centrifugal forces and of extra stresses producing the secondary flow. The analysis leads to certain linear boundary value problems for the various components of the secondary velocity field and the shape of the free surface. For geometrically simple boundaries explicit results were obtained which involve the second order coefficients of the fluid. These coefficients may be determined by measuring the Weissenberg effect.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 May 1975
 Bibcode:
 1975STIN...7610419B
 Keywords:

 Nonnewtonian Fluids;
 Rotating Bodies;
 Secondary Flow;
 Angular Velocity;
 Asymptotic Methods;
 Bodies Of Revolution;
 Gaps;
 Fluid Mechanics and Heat Transfer