A modification of equations of motion for viscous incompressible fluids
Abstract
Certain phenomena observed in viscous fluid flows are difficult to explain on the basis of the NavierStokes equations. Examples of such phenomena are a loss of stability in flows between cylinders where only the outer cylinder is rotating and the nonuniqueness of secondary regimes in flows between rotating spheres and cylinders. These phenomena are usually observed in flows with large velocity gradients. It is suggested that in such flows, fluids exhibit elasticity. As a result, the effective viscosity becomes a variable that can assume negative values.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1984
 Bibcode:
 1984DoSSR.275..576S
 Keywords:

 Computational Fluid Dynamics;
 Flow Stability;
 Incompressible Flow;
 Rotating Fluids;
 Viscous Flow;
 Elastic Properties;
 Equations Of Motion;
 Rotating Cylinders;
 Fluid Mechanics and Heat Transfer