Author:
Longo Sandro,Di Federico Vittorio,Chiapponi Luca,Archetti Renata
Abstract
AbstractWe present a theoretical and experimental analysis of axisymmetric gravity currents of power-law fluids in homogeneous porous media. The non-Newtonian shear-thinning fluid is a mixture of water, glycerol and Xanthan gum ($n= 0. 33{\unicode{x2013}} 0. 53$), and it is injected into a porous layer of glass beads ($d= 1{\unicode{x2013}} 3~\mathrm{mm} $). We compare experiments conducted with constant ($\alpha = 1$) and time-increasing ($\alpha = 1. 5$ and $2. 0$) influxes to theoretical self-similar solutions obtained by the numerical integration of the nonlinear ordinary differential equation that describes one-dimensional transient motion. The theoretical analysis is confirmed by experimental data. In addition, the selection of the most appropriate expression for the tortuosity factor and the choice of the correct range of shear stress for the determination of the rheological parameters are shown to be crucial to obtaining a good fit between the theory and experiments.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
43 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献