THE SOLUTION OF VISCOUS INCOMPRESSIBLE JET AND FREE SURFACE FLOWS USING FINITE ELEMENT METHODS
The authors discuss the creation of a finite element program suitable for solving incompressible, viscous free surface problems in steady axisymmetric or plane flows. For convenience in extending program capability to non-Newtonian flow, non-zero Reynolds numbers, and transient flow, a Galerkin formulation of the governing equations is chosen, rather than an extremum principle. The resulting program is used to solve the Newtonian die-swell problem for creeping jets free of surface tension constraints. The authors conclude that a Newtonian jet expands about 13%, in substantial agreement with experiments made with both small finite Reynolds numbers and small ratios of surface tension to viscous forces. The solutions to the related stick-slip problem and the tube inlet problem, both of which also contain stress singularities, are also given. (Modified author abstract)
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Corporate Authors:
Brown University
Division of Engineering
Providence, RI United States 02912 -
Authors:
- Nickell, R E
- Tanner, R I
- Caswell, B
- Publication Date: 1973-8
Media Info
- Pagination: 49 p.
Subject/Index Terms
- TRT Terms: Finite element method; Free surface; Pipe flow; Shear stress
- Old TRIS Terms: Free surface effects; Jet mixing
- Subject Areas: Design; Marine Transportation;
Filing Info
- Accession Number: 00053920
- Record Type: Publication
- Source Agency: National Technical Information Service
- Report/Paper Numbers: TR-2 Tech Rpt
- Contract Numbers: N00014-67A-0191-0025
- Files: TRIS
- Created Date: May 7 1974 12:00AM