This much-needed monograph presents a systematic, step-by-step approach to the continuum modeling of flow phenomena exhibited within materials endowed with a complex internal microstructure, such as polymers and liquid crystals. By combining the principles of Hamiltonian mechanics with those of irreversible thermodynamics, Antony N. Beris and Brian J. Edwards, renowned authorities on the subject, expertly describe the complex interplay between conservative and dissipative processes. Throughout the book, the authors emphasize the evaluation of the free energy--largely based on ideas from...

This book looks at dynamics as an iteration process where the output of a function is fed back as an input to determine the evolution of an initial state over time. The theory examines errors which arise from round-off in numerical simulations, from the inexactness of mathematical models used to describe physical processes, and from the effects of external controls. The author provides an introduction accessible to beginning graduate students and emphasizing geometric aspects of the theory. Conley's ideas about rough orbits and chain-recurrence play a central role in the treatment. The book...

This book provides a coherent and unified treatment of the fundamental physical processes involved in bubble dynamics and the phenomenon of cavitation. Of interest to a wide range of mechanical engineers, the study of cavitation and bubbly flows is applicable to topics ranging from valve damage in hydroelectric equipment, ship propellers, and internal combustion engines to the performance of turbines and pumps of all sizes. Well-written and up-to-date, the book will prove indispensable to engineers and students needing a reference detailing the problems of cavitation and bubbly flow.

Based on work for which the author won the IEEE Microwave Prize, this monograph examines theoretical aspects of circuit modelling of high-frequency electromagnetic structures using the Lorentz reciprocity theorem. It provides a novel approach to this important area and includes numerous numerical examples. For both TEM and Quasi-TEM fields, it covers in detail transmission, bitransmission, and incident fields.

This book is a guide for those who wish to make predictions about the mechanical and thermal behavior of non-Newtonian materials in engineering and processing technology. An introductory survey of the field and a review of basic continuum mechanics serve to show the radical differences between elongational and shear behavior. Two chapters, one based on a continuum approach and the other using microstructural approaches, lead to useful mathematical descriptions of materials for engineering applications. And there is discussion of lubrication and related shearing flows, and fibre- spinning and...