Graduate School in Nonlinear Science

Sponsored by the Danish Research Academy





MIDIT                               OFD                           CATS
Modelling, Nonlinear Dynamics       Optics and Fluid Dynamics     Chaos and Turbulence Studies
and Irreversible Thermodynamics     Risø National Laboratory      Niels Bohr Institute and 
Technical University of Denmark     Building 128                  Department of Chemistry
Building 321                        P.O. Box 49                   University of Copenhagen 
DK-2800 Lyngby                      DK-4000 Roskilde              DK-2100 Copenhagen Ø
Denmark                             Denmark                       Denmark


MODELLING CIRCULAR AND POLYGONAL HYDRAULIC JUMPS (2)

by Shinya Watanabe
Dept. of Mathematical Sciences
Ibaraki University
Mito, Japan

MIDIT-seminar 465

Thursday September 16, 1999, 15.15 h
at MIDIT, IMM Building 305, room 027




Abstract: Following the first talk on Tuesday I will present a more systematic effort to model the phenomenon. Description of even the circular flow turns out to be non-trivial due to strongly deformed free surface and internal eddy structures (separation). By using an averaging method a la Karman-Pohlhausen's, a simple model can be developed. Stationary solutions found in this model describes measurements well.

Research done in collaboration with:
T.Bohr, V.Putkaradze, J.L.Hansen, C.Ellegaard,
A.E.Hansen, A.Haaning, K.Hansen, & A.Marcussen.