Uniform Flow of Modified Bingham Fluids in Narrow Cross Sections

Abstract

A model of modified Bingham fluid is used to investigate uniform mudflows in narrow cross sections of the kind typical of hillslope incisions. The problem is tackled both numerically and experimentally. Experiments were performed using carboxymethylcellulose, a shear thinning fluid whose rheological behavior can be interpreted by a modified Bingham fluid model. For narrow rectangular, trapezoidal, and triangular cross sections, the capability to flow has been expressed by a general relationship that defines a dimensionless coefficient