Introduction.- Structural Stability.- Spatial Decay.- Convection in Porous Media.- Stability of other porous flows.- Fluid - Porous Interface Problems.- Elastic Materials with Voids.- Poroacoustic Waves.- Numerical Solution of Eigenvalue Problems.- References.-Index.
This book describes several tractable theories for fluid flow in porous media. The important mathematical quations about structural stability and spatial decay are address. Thermal convection and stability of other flows in porous media are covered. A chapter is devoted to the problem of stability of flow in a fluid overlying a porous layer.
Nonlinear wave motion in porous media is analysed. In particular, waves in an elastic body with voids are investigated while acoustic waves in porous media are also analysed in some detail.
A chapter is enclosed on efficient numerical methods for solving eigenvalue problems which occur in stability problems for flows in porous media.
Brian Straughan is a professor at the Department of Mathemactical Sciences at Durham University, United Kingdom.
This book presents an account of theories of flow in porous media which have proved tractable to analysis and computation. In particular, the theories of Darcy, Brinkman, and Forchheimer are presented and analysed in detail. In addition, the theory of voids in an elastic material due to Cowin and Nunziato is discussed. The range of validity of each theory is outlined and the mathematical properties are considered. The questions of structural stability, where the stability of the model itself is under consideration, and spatial stability are investigated. Applications to a variety of problems in porous media are included. This book is intended for graduate students and researchers in the mechanics, physics and engineering fields.