THEORY OF THE ROLL-WAVE TRAINS IN LAMINAR WATER FLOW ON A STEEP SLOPE SURFACE

STUDIES ON THE THIN SHEET FLOW, 5TH REPORT

Abstract

In this paper, a theory of the roll-wave trains in laminar water flow on a steep slope surface is developed by Dressler's method as the further research of the thin sheet flow.
The analysis proves that if the discharge, the bed slope and the kinematic viscosity of water are given, then the solution is obtained uniquely and both wave and flow characteristics of the roll-wave trains can be determined.
The experimental results obtained by the wave profile recorder are compared with above described theoretical ones, and the validity of this theory is recognized in good agreement.