Vortex flow of a Maxwell fluid
Abstract
An exact solution is obtained for the equations of motion describing the vortex flow of a Maxwell fluid, with the distribution of conservative velocities as given. It is shown that the elasticity of the material prevents viscosityinduced diffusion of vorticity beyond a critical radius r sub c which tends to infinity for a Newtonian fluid. It is noted that at the exterior of a cylinder of radius r sub c whose axis is the vortex in question, the Maxwell fluid flows like an ideal one.
 Publication:

Academie des Sciences Paris Comptes Rendus Serie Sciences Mathematiques
 Pub Date:
 February 1976
 Bibcode:
 1976CRASM.282..297B
 Keywords:

 Equations Of Motion;
 Maxwell Fluids;
 Turbulent Flow;
 Vorticity;
 Eddy Viscosity;
 Elastic Properties;
 Hydrostatic Pressure;
 Ideal Fluids;
 Newtonian Fluids;
 Nonnewtonian Fluids;
 Stress Tensors;
 Turbulent Diffusion;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer