Numerical Methods for Non-Newtonian Fluids

Numerical Methods for Non-Newtonian Fluids

Special Volume

1st Edition - December 20, 2010

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  • Editor: Philippe Ciarlet
  • eBook ISBN: 9780080932026
  • Hardcover ISBN: 9780444530479

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Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics.

Key Features

  • New review of well-known computational methods for the simulation viscoelastic and viscoplastic types
  • Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods
  • Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids


Academics, researchers, and practitioners in Numerical Methods for Non-Newtonian Fluids

Table of Contents

  • Part I: Grade-Two Fluids
    Numerical Methods for Grade-Two Fluid Models: Finite-element Discretizations and Algorithms

    Part II: Viscoelastic Fluids
    The Langevin and Fokker-Planck Equations in Polymer Rheology
    Viscoelastic Flows with Complex Free Surfaces: Numerical Analysis and Simulation
    Stable Finite Element Discretizations for Viscoelastic Flow Models
    Positive Definiteness Preserving Approaches for Viscoelastic Flow of Oldroyd-B Fluids: Applications to a Lid-driven Cavity Flow and a Particulate Flow

    Part III: Viscoplastic Fluids
    On the Numerical Simulation of Viscoplastic Fluid Flows
    Modeling, Simulation and Optmization of Electrorheological Fluids

Product details

  • No. of pages: 824
  • Language: English
  • Copyright: © North Holland 2010
  • Published: December 20, 2010
  • Imprint: North Holland
  • eBook ISBN: 9780080932026
  • Hardcover ISBN: 9780444530479

About the Series Editor

Philippe Ciarlet

Affiliations and Expertise

City University of Hong Kong, Kowloon

About the Series Volume Editors

R. Glowinski

Affiliations and Expertise

Department of Mathematics, University of Houston, Houston, TX, USA

Jinchao Xu

Affiliations and Expertise

Department of Mathematics, Pennsylvania State University, University Park, PA, USA

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