
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 nonNewtonian flow, nonzero 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 dieswell 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 stickslip 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