Fluid Mechanics of Viscoplasticity

Raja R. Huilgol, Georgios C. Georgiou

Research output: Book/ReportBookpeer-review

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Place of PublicationSwitzerland
PublisherSpringer International Publishing
Number of pages392
Edition2nd
ISBN (Electronic)9783030985035
ISBN (Print)9783030985028
DOIs
Publication statusPublished - 2022

Keywords

  • Bingham Fluids
  • General Viscoplastic Fluids
  • Numerial Modelling of Viscoplastic Fluid Flows
  • Steady Viscoplastic Fluid Flows
  • Unsteady Viscoplastic Fluid Flows
  • Variational Principles for ViscoplasticFluids

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