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Cover image for Handbook of numerical analysis
Title:
Handbook of numerical analysis
Personal Author:
Publication Information:
New York, NY. : North Holland, 2011
Physical Description:
16 v. ill. ; 26 cm.
ISBN:
9780444530479
Subject Term:

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30000010273880 QA297 H287 2011 v.16 Open Access Book Book
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30000010241719 QA297 H287 2011 Open Access Book Gift Book
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Summary

Summary

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.


Table of Contents

Foreword
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
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