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Numerical Methods for Non-Newtonian Fluids

Numerical Methods for Non-Newtonian Fluids
Author: Philippe G. Ciarlet
Publisher: Elsevier
Total Pages: 827
Release: 1990
Genre: Mathematics
ISBN: 0444530479

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Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.


Numerical Simulation of Non-Newtonian Flow

Numerical Simulation of Non-Newtonian Flow
Author: M.J. Crochet
Publisher: Elsevier
Total Pages: 367
Release: 2012-12-02
Genre: Science
ISBN: 0444598553

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Numerical Simulation of Non-Newtonian Flow focuses on the numerical simulation of non-Newtonian flow using finite difference and finite element techniques. Topics range from the basic equations governing non-Newtonian fluid mechanics to flow classification and finite element calculation of flow (generalized Newtonian flow and viscoelastic flow). An overview of finite difference and finite element methods is also presented. Comprised of 11 chapters, this volume begins with an introduction to non-Newtonian mechanics, paying particular attention to the rheometrical properties of non-Newtonian fluids as well as non-Newtonian flow in complex geometries. The role of non-Newtonian fluid mechanics is also considered. The discussion then turns to the basic equations governing non-Newtonian fluid mechanics, including Navier Stokes equations and rheological equations of state. The next chapter describes a flow classification in which the various flow problems are grouped under five main headings: flows dominated by shear viscosity, slow flows (slightly elastic liquids), small deformation flows, nearly-viscometric flows, and long-range memory effects in complex flows. The remainder of the book is devoted to numerical analysis of non-Newtonian fluids using finite difference and finite element techniques. This monograph will be of interest to students and practitioners of physics and mathematics.


Numerical Methods for Non-Newtonian Fluids

Numerical Methods for Non-Newtonian Fluids
Author:
Publisher: Elsevier
Total Pages: 826
Release: 2010-12-20
Genre: Mathematics
ISBN: 0080932029

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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. 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


Finite Element Analysis of Non-Newtonian Flow

Finite Element Analysis of Non-Newtonian Flow
Author: Hou-Cheng Huang
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447107993

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A follow on from the author's work "Finite Elements in Heat Transfer" which we published 11/94, and which is a powerful CFD programme that will run on a PC. The fluid flow market is larger than the previous, and this package is good value in comparison with other software packages in Computational Fluid Dynamics, which are generally very expensive. The work in general copes with non-Newtonian laminar flow using the finite element method, and some basic theory of the subject is included in the opening chapters of the book.


Computational Rheology

Computational Rheology
Author: Robert G Owens
Publisher: World Scientific
Total Pages: 437
Release: 2002-05-29
Genre: Mathematics
ISBN: 1783261951

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Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject — problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling.Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations.All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.


Computational Rheology

Computational Rheology
Author: Robert G. Owens
Publisher: World Scientific Publishing Company
Total Pages: 417
Release: 2002
Genre: Mathematics
ISBN: 9781860941863

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This work traces the development of numerical methods for non-Newtonian flows from the late 1960s to 2001. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, and then specific computational techniques are discussed.


Numerical Methods for Non-Newtonian Fluid Dynamics

Numerical Methods for Non-Newtonian Fluid Dynamics
Author: American Society of Mechanical Engineers. Fluids Engineering Division. Summer Meeting
Publisher:
Total Pages: 124
Release: 1994
Genre: Science
ISBN:

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Numerical Methods for Fluids, Part 3

Numerical Methods for Fluids, Part 3
Author: P.G. Ciarlet
Publisher: Elsevier
Total Pages: 1187
Release: 2003-07-25
Genre: Mathematics
ISBN: 0080507948

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Numerical Methods for Fluids, Part 3