Accession Number : ADA141508

Title :   Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Joseph,D D ; Renardy,M ; Saut,J C

PDF Url : ADA141508

Report Date : Mar 1984

Pagination or Media Count : 57

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. (Author)

Descriptors :   *Fluid flow, *Viscoelasticity, *Differential equations, Operators(Mathematics), Steady flow, Vortices, Liquids, Criticality(General), Numerical integration, Equations of motion, Transonic flow

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE