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.
Rezensionen / Stimmen
"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)
Auflage
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
17
20 farbige Abbildungen, 17 s/w Abbildungen
XVII, 276 p. 37 illus., 20 illus. in color.
Dateigröße
ISBN-13
978-3-662-45617-0 (9783662456170)
DOI
10.1007/978-3-662-45617-0
Schweitzer Klassifikation
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.
