Mathematical Analysis Of Viscoelastic Flows
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Author | : Michael Renardy |
Publisher | : SIAM |
Total Pages | : 110 |
Release | : 2000-01-01 |
Genre | : Mathematics |
ISBN | : 0898714575 |
Download Mathematical Analysis of Viscoelastic Flows Book in PDF, Epub and Kindle
This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Author | : Jose Francisco Rodrigues |
Publisher | : CRC Press |
Total Pages | : 282 |
Release | : 2020-09-30 |
Genre | : Mathematics |
ISBN | : 1000158039 |
Download Mathematical Topics in Fluid Mechanics Book in PDF, Epub and Kindle
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Author | : Arthur S. Lodge |
Publisher | : |
Total Pages | : 464 |
Release | : 1985 |
Genre | : Science |
ISBN | : |
Download Viscoelasticity and Rheology Book in PDF, Epub and Kindle
Author | : William Layton |
Publisher | : SIAM |
Total Pages | : 219 |
Release | : 2008-12-04 |
Genre | : Mathematics |
ISBN | : 0898716578 |
Download Introduction to the Numerical Analysis of Incompressible Viscous Flows Book in PDF, Epub and Kindle
A unified treatment of fluid mechanics, analysis and numerical analysis appropriate for first year graduate students.
Author | : Mauro Fabrizio |
Publisher | : SIAM |
Total Pages | : 210 |
Release | : 1992-01-01 |
Genre | : Science |
ISBN | : 0898712661 |
Download Mathematical Problems in Linear Viscoelasticity Book in PDF, Epub and Kindle
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.
Author | : Giovanni P. Galdi |
Publisher | : Springer Science & Business Media |
Total Pages | : 512 |
Release | : 2008-03-18 |
Genre | : Medical |
ISBN | : 3764378050 |
Download Hemodynamical Flows Book in PDF, Epub and Kindle
This book surveys research results on the physical and mathematical modeling, as well as the numerical simulation of complex fluid and structural mechanical processes occurring in the human blood circulation system. Topics treated include continuum mechanical description; choice of suitable liquid and wall models; mathematical analysis of coupled models; numerical methods for flow simulation; parameter identification and model calibration; fluid-solid interaction; mathematical analysis of piping systems; particle transport in channels and pipes; artificial boundary conditions, and many more. The book was developed from lectures presented by the authors at the Oberwolfach Research Institute (MFO), in Oberwolfach-Walke, Germany, November, 2005.
Author | : Luís L Ferrás |
Publisher | : Mdpi AG |
Total Pages | : 0 |
Release | : 2023-12-20 |
Genre | : Mathematics |
ISBN | : 9783036597508 |
Download Viscoelasticity Book in PDF, Epub and Kindle
This Special Issue brings together the latest advancements across various facets of viscous and viscoelastic fluid flows. Encompassing a spectrum of contributions, the topics span from innovative numerical methods and sophisticated mathematical modeling to cutting-edge experimental research. In addition to providing insights into the current state of research in these domains, the issue aims to foster a comprehensive understanding of the intricate dynamics and behaviors exhibited by viscous and viscoelastic fluids.
Author | : Philippe G. Ciarlet |
Publisher | : Elsevier |
Total Pages | : 827 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0444530479 |
Download Numerical Methods for Non-Newtonian Fluids Book in PDF, Epub and Kindle
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 | : Amr Guaily |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 156 |
Release | : 2011-10 |
Genre | : |
ISBN | : 9783846521007 |
Download Viscoelastic Fluids Book in PDF, Epub and Kindle
Although viscoelastic flows are characterized by a very low Mach number regime, it involves a weakly compressible liquid phase, which requires a special treatment. This work is devoted to the mathematical modeling and numerical simulation for viscoelastic fluids. It follows directly a previous publication, PhD dissertation of the author. A Unified purely hyperbolic mathematical model for compressible and incompressible viscoelastic fluids is presented. To complete the mathematical model, a complete chapter is devoted to describe a new procedure to determine the correct type and number of boundary conditions for hyperbolic systems. Then a new model describing the non-isothermal viscoelastic flows is introduced while keeping the hyperbolic nature of the system. The main advantage of the proposed model over the existing ones is its hyperbolic nature, which overcomes some of the drawbacks of the available models. The proposed model is then solved numerically using a hybrid finite element/finite difference scheme.
Author | : Patrick Le Tallec |
Publisher | : |
Total Pages | : 136 |
Release | : 1990-01-01 |
Genre | : Mathematical physics |
ISBN | : 9783540524502 |
Download Numerical Analysis of Viscoelastic Problems Book in PDF, Epub and Kindle
The problem of computing the deformations of viscoelastic, viscoplastic or elastoplastic bodies is of great relevance to practical problems e.g. in the numerical modelling of viscoelastic structures of hot metal forming or of polymer melt flows. This book shows how such practical engineering problems may be written as standard problems of functional analysis and how this mathematical framework is used for their analysis and numerical solution. The author looks at the mechanical and the mathematical problem in a unified context, especially for the case of nonlinear Maxwell problems, and gives a mixed discrete formulation for viscoelastic flow problems. Some classical numerical strategies are described as extensions of the mathematical theory. The treatment is restricted to small strain situations (with an introduction to the large strain problem at the end) and to constitute laws of differential type, and will be of interest to researchers and graduate students in mechanical engineering, computer science and applied mathematics.