Examples and significance of change of type in viscoelasticity
Abstract
Equations governing the flow of viscoelastic fluids are classified according to the symbol of their differential operators. Conditions for a change of type in steady two-dimensional flows are derived for a three-constant Oldroyd model. The authors find a change of type in the vorticity equation when a critical condition involving speeds and stresses is satisfied. They also sketch how change of type can be discussed for more general models.
- Publication:
-
Transactions of the 2nd Army Conference on Applied Mathematics and Computing
- Pub Date:
- February 1985
- Bibcode:
- 1985aro..meet..313J
- Keywords:
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- Differential Equations;
- Models;
- Two Dimensional Flow;
- Viscoelasticity;
- Vorticity Equations;
- Flow Velocity;
- Operators (Mathematics);
- Stresses;
- Vortices;
- Vorticity;
- Fluid Mechanics and Heat Transfer