Complex fluids

1. Front Matter

   Pages i-xvi

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2. Navier–Stokes Equation

   • Pierre Saramito

   Pages 1-62

3. Quasi-Newtonian Fluids

   • Pierre Saramito

   Pages 63-90

4. Viscoplastic Fluids

   • Pierre Saramito

   Pages 91-142

5. Viscoelastic Fluids

   • Pierre Saramito

   Pages 143-213

6. Elastoviscoplastic Fluids

   • Pierre Saramito

   Pages 215-255

7. Back Matter

   Pages 257-276

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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.

• applied mathematics
• partial derivative equations
• fluid mechanics
• computer science
• numerical simulations
• partial differential equations

“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)

• Laboratoire Jean Kuntzmann, Centre National de la Recherche Scientifique, Université Grenoble Alpes, Grenoble, France

  Pierre Saramito

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.