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Fluid Mechanics of Viscoplasticity [electronic resource] / by Raja R. Huilgol.

By: Huilgol, Raja R [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015Description: XVII, 276 p. 37 illus., 20 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783662456170.Subject(s): Engineering | Fluids | Continuum mechanics | Fluid mechanics | Engineering | Engineering Fluid Dynamics | Fluid- and Aerodynamics | Continuum Mechanics and Mechanics of MaterialsAdditional physical formats: Printed edition:: No titleDDC classification: 620.1064 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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