Thermodynamics of Flowing Systems: with Internal Microstructure

Thermodynamics of Flowing Systems: with Internal Microstructure

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Description

This monograph presents a new systematic approach to the continuum modelling of flow phenomena within materials endowed with a complex internal microstructure, such as polymers and liquid crystals. The approach taken in this text is novel in that it combines the principles of Hamiltonian mechanics with those of irreversible thermodynamics. The book begins by outlining the relevant physical prnciples and then goes on to the numerous applications. From their results the authors draw conclusions in relation to the available state-of-the-art knowledge of the corresponding subjects.show more

Product details

  • Hardback | 704 pages
  • 157.5 x 238.3 x 48.8mm | 1,333.57g
  • Oxford University Press Inc
  • New York, United States
  • English
  • line illustrations, tables
  • 019507694X
  • 9780195076943

Review quote

"In this book, the authors attempt to provide a mechanism by which the necessary information from microscopic investigations can be transferred into a consistent description of dynamical phenomena from a macroscopic continuum perspective." --Applied Mechanics Review"The principal objective of this book is to provide an extension of the Poisson bracket formalism that is also able to embrace dissipative processes. Thus, while Part I is intended to establish the theoretical premisses of such an extension, Part II illustrates the wealth of possible applications of this method, taken from the most diverse areas of complex materials science." --Mathematical Reviewsshow more

Table of contents

PART 1: THEORY ; Introduction ; 1. Symplectic geometry in optics ; 2. Hamiltonian mechanics of discrete particle systems ; 3. Equilibrium thermodynamics ; 4. Poisson brackets in continuous media ; 5. Non-equilibrium thermodynamics ; 6. The dissipation bracket ; PART 2: APPLICATIONS ; 7. Incompressible viscoelastic flows ; 8. Transport phenomena in viscoelastic fluids ; 9. Non-standard transport phenomena ; 10. The dynamical theory of liquid crystals ; 11. Multi-fluid transport/reactions models with application in the modelling of weakly ionized plasma dynamics ; Epilogue ; Bibliography ; Appendicesshow more

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