Record Display for the EPA National Library Catalog


Main Title Finite Element Solution for Two-Dimensional Density Stratified Flow.
Author Kin, Ian P. ; Norto, William R. ; Orlo, Gerald T. ;
CORP Author Water Resources Engineers, Inc., Walnut Creek, Calif.
Year Published 1973
Report Number WRE-11360; OWRR-C-2052(3670); 10418,; C-2052(3670)(1)
Stock Number PB-220 967
Additional Subjects ( Water flow ; Stratification) ; ( Two-dimensional flow ; Mathematical analysis) ; Computerized simulation ; Problem solving ; Equations of motion ; Stokes law(Fluid mechanics) ; Weirs ; Turbulence ; Laminar flow ; Transport properties ; Stratified flow ; Finite element analysis ; Density stratification ; Viscous flow
Library Call Number Additional Info Location Last
NTIS  PB-220 967 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 87p
A finite element formulation is presented for solution of problems of two-dimensional flow (vertical elevation). The equations describing the phenomena are assumed to be the two-dimensional version of the Navier Stokes equations coupled to the advection-diffusion equation for variations in density. In these nonlinear equations the conventional coefficient of viscosity is replaced by a turbulent exchange coefficient when flow is in the turbulent range. The Galerkin method of weighted residuals is described for the finite element method and the use of the Newton-Raphson iterative scheme is explained with respect to incorporation of nonlinear terms in the solution procedure. The result of this derivation is a set of nonlinear simultaneous equations, and implications and programming considerations are discussed. Examples of both constant density (homogeneous) flow and density stratified flow over a submerged weir are included. These examples are compared to experimental results and their accuracy is assessed.