Numerical Methods for Non-Newtonian Fluids PDF Download
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Author: Philippe G. Ciarlet
Publisher: Elsevier
ISBN: 0444530479
Category : Mathematics
Languages : en
Pages : 827
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Book Description
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.
Author: Philippe G. Ciarlet
Publisher: Elsevier
ISBN: 0444530479
Category : Mathematics
Languages : en
Pages : 827
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Book Description
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.
Author: M.J. Crochet
Publisher: Elsevier Publishing Company
ISBN:
Category : Science
Languages : en
Pages : 374
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Book Description
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.
Author: R. Glowinski
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Fridtjov Irgens
Publisher: Springer Science & Business Media
ISBN: 3319010530
Category : Technology & Engineering
Languages : en
Pages : 192
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Book Description
This book gives a brief but thorough introduction to the fascinating subject of non-Newtonian fluids, their behavior and mechanical properties. After a brief introduction of what characterizes non-Newtonian fluids in Chapter 1 some phenomena characteristic of non-Newtonian fluids are presented in Chapter 2. The basic equations in fluid mechanics are discussed in Chapter 3. Deformation kinematics, the kinematics of shear flows, viscometric flows, and extensional flows are the topics in Chapter 4. Material functions characterizing the behavior of fluids in special flows are defined in Chapter 5. Generalized Newtonian fluids are the most common types of non-Newtonian fluids and are the subject in Chapter 6. Some linearly viscoelastic fluid models are presented in Chapter 7. In Chapter 8 the concept of tensors is utilized and advanced fluid models are introduced. The book is concluded with a variety of 26 problems. Solutions to the problems are ready for instructors
Author: Ping Huang
Publisher: Elsevier
ISBN: 0323958443
Category : Technology & Engineering
Languages : en
Pages : 329
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Book Description
Hydrodynamic Lubrication of Non-Newtonian Fluids covers basic theory, lubrication failure and numerical methods and procedures. The title offers a feasible method for solving the hydrodynamic lubrication problem for non-Newtonian fluids. Whereas hydrodynamic lubrication in Newtonian fluids can be solved using the existing Reynolds equation, hydrodynamic lubrication in non-Newtonian fluid is much more difficult to solve because the non-Newtonian constitutive equation is nonlinear. Engineers and technicians working on non-Newtonian fluid lubrication calculation and analysis will find this to be an invaluable reference on the latest thinking on hydrodynamic lubrication. This book presents a unified solution to hydrodynamic lubrication in non-Newtonian fluids, proposing a flow separation method. In addition, the title gives methods and insights into viscosity in non-Newtonian fluids, the lubrication failure mechanism and fluid lubrication mechanism carrying capacity. - Offers a solution to hydrodynamic lubrication in non-Newtonian fluids - Covers a new separation method and sets up an integral differential equation towards a unified method - Provides insights into the viscosity of non-Newtonian fluids, putting forward incremental and full viscosity as important concepts - Analyzes the lubrication failure mechanism and fluid lubrication mechanism carrying capacity - Presents researchers with a way of calculating and analyzing fluid dynamic pressure lubrication, flap lubrication and hot-bounce lubrication of common non-Newtonian fluids
Author: R. P. Chhabra
Publisher: Elsevier
ISBN: 0080512836
Category : Technology & Engineering
Languages : en
Pages : 453
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Book Description
Non-Newtonian materials are encountered in virtually all of the chemical and process industries and a full understanding of their nature and flow characteristics is an essential requirement for engineers and scientists involved in their formulation and handling. This book will bridge the gap between much of the highly theoretical and mathematically complex work of the rheologist and the practical needs of those who have to design and operate plants in which these materials are handled and processed. At the same time, numerous references are included for the benefit of those who need to delve more deeply into the subject.The starting point for any work on non-newtonian fluids is their characterisation over the range of conditions to which they are likely to be subjected during manufacture or utilisation, and this topic is treated early on in the book in a chapter commissioned from an expert in the field of rheological measurements. Coverage of topics is extensive and this book offers a unique and rich selection of material including the flow of single phase and multiphase mixtures in pipes, in packed and fluidised bed systems, heat and mass transfer in boundary layers and in simple duct flows, and mixing etc.An important and novel feature of the book is the inclusion of a wide selection of worked examples to illustrate the methods of calculation. It also incorporates a large selection of problems for the reader to tackle himself.
Author: Aroon Shenoy
Publisher: John Wiley & Sons
ISBN: 3527343628
Category : Technology & Engineering
Languages : en
Pages : 308
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Book Description
This book has been written with the idea of providing the fundamentals for those who are interested in the field of heat transfer to non-Newtonian fluids. It is well recognized that non-Newtonian fluids are encountered in a number of transport processes and estimation of the heat transfer characteristics in the presence of these fluids requires analysis of equations that are far more complex than those encountered for Newtonian fluids. A deliberate effort has been made to demonstrate the methods of simplification of the complex equations and to put forth analytical expressions for the various heat transfer situations in as vivid a manner as possible. The book covers a broad range of topics from forced, natural and mixed convection without and with porous media. Laminar as well as turbulent flow heat transfer to non-Newtonian fluids have been treated and the criterion for transition from laminar to turbulent flow for natural convection has been established. The heat transfer characteristics of non-Newtonian fluids from inelastic power-law fluids to viscoelastic second-order fluids and mildly elastic drag reducing fluids are covered. This book can serve the needs of undergraduates, graduates and industry personnel from the fields of chemical engineering, material science and engineering, mechanical engineering and polymer engineering.
Author: J. N. Reddy
Publisher: CRC Press
ISBN: 9780849323553
Category : Science
Languages : en
Pages : 496
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Book Description
The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.
Author: Angiolo Farina
Publisher: Springer
ISBN: 3319747967
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.
Author: Robert G. Owens
Publisher: World Scientific Publishing Company
ISBN: 9781860941863
Category : Mathematics
Languages : en
Pages : 417
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Book Description
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.
