The Method of Volume Averaging

Multiphase systems dominate nearly every area of science and technology, and the method of volume averaging provides a rigorous foundation for the analysis of these systems. The development is based on classical continuum physics, and it provides both the spatially smoothed equations and a method of predicting the effective transport coefficients that appear in those equations. The text is based on a ten-week graduate course that has been taught for more than 20 years at the University of California at Davis and at other universities around the world. Problems dealing with both the theoretical foundations and the applications are included with each chapter, and detailed solutions for all problems are available from the author. The course has attracted participants from chemical engineering, mechanical engineering, civil engineering, hydrologic science, mathematics, chemistry and physics.

Autorentext

Simon Whitaker is Senior Visiting Research Fellow at the University of Huddersfield, UK, and Consultant Clinical Psychologist in Learning Disabilities in Huddersfield. His research interests include the reduction of challenging behaviour in people with learning disability, in particular anger and aggression, the measurement of IQ in people with learning disabilities, and the nature, definition and naming of learning disability.

Inhalt

1. Diffusion and Heterogeneous Reaction in Porous Media.- 2. Transient Heat Conduction in Two-Phase Systems.- 3. Dispersion in Porous Media.- 4. Single-Phase Flow in Homogeneous Porous Media: Darcy's Law.- 5. Single-Phase Flow in Heterogeneous Porous Media.- Appendix. Tensor Algebra.- A.1. Index notation.- A.2. Dyadic product.- A.3. Kronecker delta.- A.4. Dummy indices.- A.5. Transpose of a tensor.- A.6. Inverse of a tensor.- A.7 Problems.- Nomenclature.- References.