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  USA  02912
  • Authors:
    • Nickell, R E
    • Tanner, R I
    • Caswell, B
  • Publication Date: 1973-8

Media Info

  • Pagination: 49 p.

Subject/Index Terms

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