Fluid Mechanics of Viscoplasticity
Springer Berlin (Verlag)
978-3-662-52298-1 (ISBN)
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.
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.
"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)
Erscheinungsdatum | 14.10.2016 |
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Zusatzinfo | XVII, 276 p. 37 illus., 20 illus. in color. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
Technik ► Maschinenbau | |
Schlagworte | Bingham Fluid • Casson Fluid • Continuum Mechanics and Mechanics of Materials • Engineering • engineering fluid dynamics • Engineering: general • fluid- and aerodynamics • fluid mechanics • Hadamard Lemma • Hele-Shaw Flow • Herschel-Bulkley Fluid • Mechanical engineering and materials • Mechanics of Fluids • Unsteady Shearing Flows • Yield Stress |
ISBN-10 | 3-662-52298-5 / 3662522985 |
ISBN-13 | 978-3-662-52298-1 / 9783662522981 |
Zustand | Neuware |
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