ABSTRACT
The chief purpose of this chapter is to consider convective “ows of a Bingham “uid when it saturates a porous medium. My interest in this topic arose after seeing the work of Turan et al. (2012) at the Advances in Computational Heat Transfer Symposium, which was held at the University of Bath. In that paper, the authors considered the convection of a Bingham “uid in a square cavity heated from a vertical sidewall and cooled by the other. Plots of streamlines show unyielded regions where the local shear stress is less than the yield stress. I immediately wondered what the equivalent would be for a porous medium, and I started searching for papers on the topic. I was assisted in this work by a œnal year undergraduate who also worked on some network modeling aspects (Nash 2013). Of course, the presence of the solid matrix means that “ow in a porous medium will happen only when the yield stress is exceeded locally. If one were, in the œrst instance, to think of a porous medium as a bundle of tubes or a collection of channels or even a network of channels, then
17.1 Introduction .......................................................................................................................... 559 17.2 Yield-Stress Fluids and Their Modeling ..............................................................................560
