Event Type:

Department Colloquium

Date/Time:

Tuesday, November 9, 2004 - 07:00

Location:

Kidd 364

Guest Speaker:

Institution:

University of Colorado at Denver

Abstract:

Hybrid Mixture Theory (HMT) is an upscaling approach based on thermodynamical principals and is used to develop deterministic models of porous media. Here porous media is defined to be any media composed of more than one phase, e.g. polymers (liquid-solid), soils (solid-gas with multiple liquid phases), and foam (liquid-gas). In this first introductory-level talk we will compare HMT with other upscaling approaches (homogenization, averaging), and use a simplified version of it to derive the Navier-Stoke's equations for fluids, the elasticity equations used to model solids, and Darcy's Law used to model flow through soils. Briefly, more interesting results for constitutive equations for swelling porous materials such as clay, bio-tissues such as cartilage and cells, and polymers will also be given.