Uniform Flow of Modified Bingham Fluids in Narrow Cross Sections

作者:Cantelli Alessandro*
来源:Journal of Hydraulic Engineering, 2009, 135(8): 640-650.
DOI:10.1061/(ASCE)HY.1943-7900.0000092

摘要

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 (f) as a function of two dimensionless parameters: the Bingham number and an aspect ratio of the channel. We also derive plots for the critical Bingham number for incipient flow of modified Bingham fluids as a function of the aspect ratio of the channel. The present calculations and the experimental results demonstrate that the narrow character of the channel as well as its shape strongly affect the flow conductance and the critical value of the Bingham number.

  • 出版日期2009-8