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.
Author(s): Raja R. Huilgol
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2015
Language: English
Pages: 276
Tags: Engineering Fluid Dynamics; Fluid- and Aerodynamics; Continuum Mechanics and Mechanics of Materials
Front Matter....Pages i-xvii
The Basic Features of Viscoplasticity....Pages 1-21
Kinematics of Fluid Flow....Pages 23-34
Fundamental Equations....Pages 35-46
Constitutive Equations....Pages 47-64
Analytic Solutions: Steady Flows....Pages 65-86
Analytic Solutions: Unsteady Shearing Flows....Pages 87-111
Analytical Approximation Techniques....Pages 113-138
Variational Principles and Variational Inequalities....Pages 139-180
Energy Methods in Action: Equality, Inequality and Stability....Pages 181-224
Numerical Modelling....Pages 225-270
Back Matter....Pages 271-276
