Accession Number : AD0772067

Title :   The Solution of Viscous Incompressible Jet and Free Surface Flows Using Finite Element Methods.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DEPT OF ENGINEERING

Personal Author(s) : Nickell,Robert E. ; Tanner,Roger I. ; Caswell,Bruce

Report Date : AUG 1973

Pagination or Media Count : 49

Abstract : 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)

Descriptors :   *Incompressible flow, Reynolds number, Partial differential equations, Matrices(Mathematics), Shear stresses, Numerical integration

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE