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)

• 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