Hydraulic jumps on shallow layers of non-Newtonian fluids

Abstract

A theoretical investigation of nonlinear steady and unsteady roll waves on shallow layers of non-Newtonian dilatant fluids considered in the frame of the two-parametric power-law model of Ostwald-de Waele and moving down inclines is presented. For the profiles of steady waves an ordinary differential equation is derived, and its analysis shows that smoothed hydraulic jumps exist when their amplitudes are smaller than a certain critical value of a variable which depends on the fluid index and the Ostwald-de Waele number. Numerical solutions to the problem of propagation of unsteady waves are obtained. © 2001 Elsevier Science B.V. All rights reserved.