Overview
- Comprehensive text for the mathematical modeling of complex fluids
- Practical numerical algorithms and software solutions for computing the solutions
- Many computational examples of practical interest
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 79)
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About this book
This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.
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Keywords
Table of contents (5 chapters)
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Front Matter
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Back Matter
Reviews
“A framework of thermodynamics is included to provide a platform for rigorous derivation of the constitutive equations. … References to the software suitable for non-Newtonian fluid flow are included. The text is a useful addition to the literature on non-Newtonian fluids. It should also act as a concise reference work in this area.” (S. C. Rajvanshi, zbMATH 1361.76001, 2017)
Authors and Affiliations
About the author
Pierre Saramito is Research Director at CNRS (French National Center for Scientific Research) at Jean Kuntzmann laboratory in Grenoble, France. His primary research interest is computational mechanics and applied mathematics, for the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of complex materials and fluids.
Bibliographic Information
Book Title: Complex fluids
Book Subtitle: Modeling and Algorithms
Authors: Pierre Saramito
Series Title: Mathématiques et Applications
DOI: https://doi.org/10.1007/978-3-319-44362-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-44361-4Published: 02 November 2016
eBook ISBN: 978-3-319-44362-1Published: 26 October 2016
Series ISSN: 1154-483X
Series E-ISSN: 2198-3275
Edition Number: 1
Number of Pages: XVI, 276
Number of Illustrations: 44 b/w illustrations, 61 illustrations in colour
Topics: Partial Differential Equations, Numerical Analysis, Computational Science and Engineering, Mathematical Applications in the Physical Sciences