Non-Equilibrium Thermodynamics in Multiphase Flows

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Springer Science & Business Media, Nov 8, 2012 - Science - 270 pages

Non-equilibrium thermodynamics is a general framework that allows the macroscopic description of irreversible processes. This book introduces non-equilibrium thermodynamics and its applications to the rheology of multiphase flows. The subject is relevant to graduate students in chemical and mechanical engineering, physics and material science.
This book is divided into two parts. The first part presents the theory of non-equilibrium thermodynamics, reviewing its essential features and showing, when possible, some applications. The second part of this book deals with how the general theory can be applied to model multiphase flows and, in particular, how to determine their constitutive relations. Each chapter contains problems at the end, the solutions of which are given at the end of the book. No prior knowledge of statistical mechanics is required; the necessary prerequisites are elements of transport phenomena and on thermodynamics.

“The style of the book is mathematical, but nonetheless it remains very readable and anchored in the physical world rather than becoming too abstract. Though it is up-to-date and includes recent important developments, there is a lot of classical material in the book, albeit presented with unprecedented clarity and coherence. The first six chapters are actually a very good introduction to the theory underlying many phenomena in soft matter physics, beyond the focus on flow and transport of the later chapters of the book.” Prof Richard A.L. Jones FRS, Pro-Vice-Chancellor for Research and Innovation, University of Sheffield

 

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Contents

Introduction
1
Microscopic Reversibility
13
Langevin Equation
25
FokkerPlanck Equation
34
Stochastic Differential Calculus
49
Path Integrals
61
Balance Equations
73
Constitutive Relations
87
Review of Probability Distribution
180
Review of Statistical Thermodynamics
187
Principle of Causality
197
Review of Analytical Mechanics
203
Microscopic Balance Equations
216
Some Results of Transport Phenomena
223
Solutions of the Problems
245
Background Reading
265

Multiphase Flows
106
Effective Transport Properties
133
Multiple Scale Analysis
153

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About the author (2012)

Roberto Mauri is a professor of Chemical Engineering (DICCISM) at the University of Pisa, Italy. He received his B.S. and M.S. from the Politecnico di Milano, and his Ph.D. from Technion, Haifa, Israel in 1984. He has been a visiting professor and teacher at MIT (Cambridge, USA), City College of CUNY, and California Institute of Technology (Pasadena, USA). Professor Mauri has more than 60 publications to his name. He received the Landau prize in Tel Aviv in 1984.

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