| Description |
1 online resource (vii, 259 pages) |
| Series |
CISM International Centre for Mechanical Sciences. Courses and lectures ; volume 583 |
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Courses and lectures ; no. 583
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| Contents |
Intro; Preface; Contents; Background Lectures on Ideal Visco-Plastic Fluid Flows; 1 General Aspects of Visco-Plastic Fluid Flows; 1.1 General Setup; 1.2 Classical Formulation; 2 Stokes Flow; 2.1 Principle of Virtual Power; 2.2 Mechanical Energy Balance; 2.3 Velocity Minimization; 2.4 Stress Maximization; 3 Using Variational Methods for Stokes Flows; 3.1 Existence, Uniqueness and Properties of Solutions; 3.2 Monotonicity and Continuity; 4 Static Solutions to the Stokes Flow Problem; 4.1 Physical Intuition of the Zero Flow; 4.2 Analytical Derivation and Definition |
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4.3 Examples of Zero Flow Limits4.4 Exact Methods; 4.5 Approximation Methods; 4.6 Computational Methods; 5 Flow Stability; 5.1 Stability of Static Flows; 5.2 Stability of Moving Flows; References; Viscoplastic Asymptotics and Other Analytical Methods; 1 Introduction; 2 Viscoplastic Lubrication Theory; 2.1 Mathematical Formulation; 2.2 Squeeze Flow of Bingham Fluid; 2.3 The Pseudo-Plug Solution and Finer Matching Details; 2.4 Strategy for More General Solutions; 2.5 Plastic Limit; 2.6 Sliplines; 2.7 Extension to Three Dimensions; 3 Viscoplastic Boundary Layers |
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3.1 Oldroyd's Viscoplastic Shear Layer3.2 Self-similar Solutions; 3.3 Sample Flow Solutions with Boundary Layers; 4 Free-Surface Flow; 4.1 Sticky Viscoplastic Films; 4.2 Sliding Films; 4.3 Viscoplastic Membrane Models; 4.4 Jet Instability; 4.5 Viscoplastic Beams; 4.6 Bending Viscoplastic Beams; Toppling Viscoplastic columns; 5 Concluding Remarks; References; Computational Methods for Viscoplastic Fluid Flows; 1 General Introduction, Concepts, Difficulties, Various Algorithms; 1.1 Multipliers Techniques; 1.2 Regularization Methods; 1.3 Ready-on-the-Shelf Algorithms |
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1.4 Solution Methods: Advantages and Drawbacks2 Discretization Schemes for Visoplastic Fluid Flows: FDM, FVM, FEM, LBM; 2.1 Finite Difference (FD); 2.2 Finite Volume (FV); 2.3 Finite Element (FE); 2.4 Discretization Schemes for Viscoplastic Fluid Flows; 3 Better and Faster: Capturing the Yield Surfaces and High Performance Computing; 4 Additional Effects: Compressibility, Heat Transfer, Elasticity, Thixotropy, Two-Phase Flows; 4.1 Heat Transfer; 4.2 Thixotropy; 4.3 Two-Fluid Flow; 4.4 Compressibility; 5 How to Capture the No-Flow Limit and Finite Time Decay in Single and Two-Phase Flows |
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5.1 Natural Convection in a Viscoplastic Flow5.2 Settling of a Solid Particle in a Viscoplastic Fluid; References; Rheometry of Visco-Plastic Fluids; 1 Introduction; 2 Rheometry; 3 Characterisation of Simple Yield Stress Fluids; 4 Characterisation of Thixotropic Yield Stress Fluids; 5 Techniques to Study Local Flow Properties; References; Rheology of Visco-Plastic Suspensions; 1 Introduction; 2 Theory; 3 Experiments: Methodology; 3.1 Materials; 3.2 Experimental Procedures; 4 Phenomenological Expressions and Experimental Results; 4.1 Isotropic Suspensions; 4.2 Anisotropic Suspensions |
| Summary |
The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid modelsmathematical modeling of flows of visco-plastic fluidscomputing flows of visco-plastic fluidsrheology of visco-plastic fluids and visco-plastic suspensionsapplication of visco-plastic fluids in engineering sciencescomplex flows of visco-plastic fluids |
| Notes |
Online resource; title from PDF title page (EBSCO, viewed July 2, 2018) |
| Subject |
Viscoplasticity.
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Fluid mechanics.
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Fluid mechanics.
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Mathematical modelling.
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Mechanics of fluids.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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TECHNOLOGY & ENGINEERING -- Reference.
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Fluid mechanics
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Viscoplasticity
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| Form |
Electronic book
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| Author |
Ovarlez, Guillaume, editor
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Hormozi, Sarah, editor
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| ISBN |
9783319894386 |
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3319894382 |
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