Hyperbolicity and change of type in the flow of viscoelastic fluids
Abstract
The equations governing the flow of viscoelastic liquids are classified according to the symbol of their differential operators. Propagation of singularities is discussed and conditions for a change of type are investigated. The vorticity equation for steady flow can change type when a critical condition involving speed and stresses is satisfied. This leads to a partitioning of the field of flow into subcritical and supercritical regions, as in the problem of transonic flow.
- Publication:
-
Technical Summary Report Wisconsin Univ
- Pub Date:
- March 1984
- Bibcode:
- 1984wisc.reptQ....J
- Keywords:
-
- Fluid Flow;
- Liquids;
- Operators (Mathematics);
- Viscoelasticity;
- Algorithms;
- Differential Equations;
- Equations Of Motion;
- Numerical Integration;
- Steady Flow;
- Transonic Flow;
- Vortices;
- Fluid Mechanics and Heat Transfer