Fluid Mechanics of Viscoplasticity
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Beschreibung
This book considers the kinematics and dynamics of the flows of fluids exhibiting a yield stress. Continuum mechanics governing the fluid mechanics is described. Two chapters are dedicated to analytical solutions to several steady and unsteady flows of viscoplastic fluids, including flows with pressure-dependent rheological parameters.
Perturbation methods, variational inequalities to solve fluid flow problems, and the use of energy methods are discussed. Numerical modeling using augmented Lagrangian, operator splitting, finite difference, and lattice Boltzmann methods are employed.
The second edition provides new sections on flows of yield stress fluids with pressure-dependent rheological parameters, on flows with wall slip, and on deriving the fundamental equations for Boltzmann lattice materials. Furthermore new material on the lubrication approximation and applications of finite differences has been added.This book considers the kinematics and dynamics of the flows of fluids exhibiting a yield stress. Continuum mechanics governing the fluid mechanics is described. Two chapters are dedicated to analytical solutions to several steady and unsteady flows of viscoplastic fluids, including flows with pressure-dependent rheological parameters.
Perturbation methods, variational inequalities to solve fluid flow problems, and the use of energy methods are discussed. Numerical modeling using augmented Lagrangian, operator splitting, finite difference, and lattice Boltzmann methods are employed.
The second edition provides new sections on flows of yield stress fluids with pressure-dependent rheological parameters, on flows with wall slip, and on deriving the fundamental equations for Boltzmann lattice materials. Furthermore new material on the lubrication approximation and applications of finite differences has been added.Gives a comprehensive account of analytical solutions of steady and unsteady flows of viscoplastic fluids Provides numerical modeling using finite elements, finite differences, and lattice Boltzmann methods New edition extensively revised and updated
Autor*in
Raja R. Huilgol
Themen in »Fluid Mechanics of Viscoplasticity«
Bingham Fluids General Viscoplastic Fluids Steady Viscoplastic Fluid Flows Unsteady Viscoplastic Fluid Flows Variational Principles for ViscoplasticFluids Numerial Modelling of Viscoplastic Fluid Flows