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In this book, we shall consider the kinematics and dynamics of the flows of fluids exhibiting a yield stress. To highlight the principal characteristics of such fluids, the first chapter emphasizes the role played by the yield stress. Next, a careful description of the continuum mechanics behind the constitutive equations for incompressible and compressible viscoplastic fluids is given in Chapters 2–4. In Chapters 5 and 6 analytical solutions to several steady and unsteady flows of Bingham fluids are presented. The subsequent Chapters 7–10 are concerned with the development of variational…mehr
In this book, we shall consider the kinematics and dynamics of the flows of fluids exhibiting a yield stress. To highlight the principal characteristics of such fluids, the first chapter emphasizes the role played by the yield stress. Next, a careful description of the continuum mechanics behind the constitutive equations for incompressible and compressible viscoplastic fluids is given in Chapters 2–4. In Chapters 5 and 6 analytical solutions to several steady and unsteady flows of Bingham fluids are presented.
The subsequent Chapters 7–10 are concerned with the development of variational principles and their numerical solutions, along with perturbation methods which play a significant role in numerical simulations.
Raja R. Huilgol is Emeritus Professor of Mathematics at Flinders University, Adelaide, Australia. He is the author of a book and the co-author of another one on the fluid mechanics of viscoelastic fluids, and the author of a book on viscoplastic fluids. Apart from fluid mechanics, his research interests are spread across several disciplines, such as injection molding, stability of trains, modeling photosynthesis, and granular flows. Georgios C. Georgiou is Professor of Applied Mathematics at the University of Cyprus, Cyprus. He is Co-author of a fluid mechanics book. His research interests cover computational rheology, non-Newtonian fluid mechanics, and computational fluid mechanics.
Inhaltsangabe
The Basic Features of Viscoplasticity.- Kinematics of Fluid Flow.- Fundamental Equations.- Constitutive Equations.- Analytic Solutions: Steady Flows.- Analytic Solutions: Unsteady Shearing Flows.- Analytical Approximation Techniques.- Variational Principles and Variational Inequalities.- Energy Methods in Action: Equality, Inequality and Stability.- Numerical Modelling.
The Basic Features of Viscoplasticity.- Kinematics of Fluid Flow.- Fundamental Equations: Continuum Mechanics and Lattice Boltzmann Models.- Constitutive Equations.- Analytic Solutions: Steady Flows.- Unsteady Shearing Flows.
The Basic Features of Viscoplasticity.- Kinematics of Fluid Flow.- Fundamental Equations.- Constitutive Equations.- Analytic Solutions: Steady Flows.- Analytic Solutions: Unsteady Shearing Flows.- Analytical Approximation Techniques.- Variational Principles and Variational Inequalities.- Energy Methods in Action: Equality, Inequality and Stability.- Numerical Modelling.
The Basic Features of Viscoplasticity.- Kinematics of Fluid Flow.- Fundamental Equations: Continuum Mechanics and Lattice Boltzmann Models.- Constitutive Equations.- Analytic Solutions: Steady Flows.- Unsteady Shearing Flows.
Rezensionen
"This book is an introduction to viscoplastic fluid mechanics. ... This book will be a valuable resource for applied mathematicians and fluid dynamicists." (Valeriu Al. Sava, zbMATH 1328.76001, 2016)
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