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Continuum Methods of Physical Modeling


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Table of Contents

Introduction.- Continuum Mechanics: Basic Kinematics.- Balance Equations.- Jump Conditions.- Moving Reference Systems.- Material Equations.- Phase Transition in Viscous Heat Conducting Compressible Fluids.- Theory of Mixtures.- Dimensional Analysis: Theoretical Foundation of Dimensional Analysis.- Similitude and Model Experiments.- Turbulence: Fundamental Concepts of Turbulence.- k-e Model for Density Preserving and Boussinesq Fluids.- Algebraic Reynolds Stress Models.- Application of k-e Model.- References.- Indices.


From the reviews:

"The book is about continuum mechanics, dimensional analysis, and turbulence. This is an extremely interesting program that the authors carry to a happy end ... . It maintains a good balance between rigor and a good sense of applicability to real physical problems. ... The whole discussion given by the authors in this book ... is superb. ... The book belongs on the shelf of all ... . the quantity and richness of the fully solved exercises make the book an excellent instrument for self-teaching as well." (Gerard A. Maugin, Mathematical Reviews, 2005h)

"This book, which is divided into three parts, begins with the development of balance laws or conservation equations and ends with a sequence of chapters devoted to turbulence. ... is intended for students in the engineering disciplines whose interests lie in fluid dynamics. ... a unique feature of the book is the inclusion of solutions to exercises ... . As a reference source for students, this may be quite useful ... . Certainly a book with a both interesting and unique topical mixture." (T.B. Gatski, Journal of Fluid Mechanics, Vol. 526, 2005)

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