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Friday, August 7, 2020 | History

1 edition of Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids found in the catalog.

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

by A. I. Leonov

  • 294 Want to read
  • 38 Currently reading

Published by Springer Netherlands, Imprint, Springer in Dordrecht .
Written in English


About the Edition

This book presents detailed studies of flows in elastic liquids, from theory, through experiment, to applications. Falling into the category of elastic liquids in particular, are the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer processing. The reading material is presented with an emphasis on practical applications. Applications of results to industrial problems are also discussed.

Edition Notes

Statementby A.I. Leonov, A.N. Prokunin
ContributionsProkunin, A. N.
The Physical Object
Format[electronic resource] /
Pagination1 online resource (500 pages)
Number of Pages500
ID Numbers
Open LibraryOL27077635M
ISBN 109401112584
ISBN 109789401112581
OCLC/WorldCa840308886

The extended pom-pom (XPP) model and finitely extensible nonlinear elastic-Peterlin (FENE-P) model fluid are all considered in this case, in which the viscoelastic fluid flow . Superposed plane Poiseuille flow of an incompatible polymer system consisting of polypropylene and high‐density polyethylene has been investigated. Using the apparatus and procedures developed in our previous study [G. M. Wilson and B. Khomami J. Non‐Newt. Fluid Mech. 45, ()], we have investigated the role of elasticity in interfacial stability, the existence of Cited by:

Mathematical Analysis of Viscoelastic Flows Article in Annual Review of Fluid Mechanics 21(1) November with 53 Reads How we measure 'reads'Author: Michael Renardy.   Furthermore, large oscillations may occur, thus violating the infinitesimal strain assumption and requiring a nonlinear/finite-strain elasticity description. In this article, we develop a theoretical framework to simulate spherical bubble dynamics in a viscoelastic medium with nonlinear by:

Viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation. Viscous materials, like water, resist shear flow and strain linearly with time when a stress is applied. Elastic materials strain when stretched and immediately return to their original state once the stress is removed. David S. Soong () Time Dependent Nonlinear Viscoelastic Behavior of Polymer Fluids—A Review of Current Chemistry Cited by: 4.


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Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids by A. I. Leonov Download PDF EPUB FB2

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids th Edition by A.I. Leonov (Author), A.N. Prokunin (Author)3/5(1). These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough.

l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer.

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer.

Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids Pdf. E-Book Review and Description: This monograph presents theoretical and experimental analysis of flows of elastic liquids. Falling into this class are notably the melts and concentrated choices of such versatile-chain polymers as polyethylene, polyisobutylene and polypropylene.

Nonlinear phenomena in flows of viscoelastic polymer fluids. London ; New York: Chapman & Hall, (OCoLC) Document Type: Book: All Authors / Contributors: A I Leonov.

Get this from a library. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids. [A I Leonov; A Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids book Prokunin] -- This book presents detailed studies of flows in elastic liquids, from theory, through experiment, to applications.

Falling into the category of elastic liquids in particular, are the melts and. Cite this chapter as: Leonov A.I., Prokunin A.N. () On Hardening Phenomena in Flows of Polymeric Liquids.

In: Nonlinear Phenomena in Flows of Viscoelastic Polymer : A. Leonov, A. Prokunin. Cite this chapter as: Leonov A.I., Prokunin A.N.

() Non-isothermal Flows of Polymeric Liquids. In: Nonlinear Phenomena in Flows of Viscoelastic Polymer : A. Leonov, A. Prokunin. Abstract. Flows of polymeric viscoelastic liquids are of particular importance in any type of polymer processing, especially in extrusion. They are also of interest for obtaining reliable data from capillary rheometry, as is pointed out in Chapter : A.

Leonov, A. Prokunin. This paper treats the problem of hyperbolicity, change of type and nonlinear wave propagation in the flow of viscoelastic fluids. Rate equations for fluids with and without instantaneous elasticity are derived and discussed.

The equations of fluids with instantaneous elasticity are hyperbolic in unsteady flow and can change type in steady by: A rheological model for polymeric fluids is proposed.

This model can describe non-Newtonian viscosity, shear-rate-dependent normal stresses, frequently-dependent complex viscosity, stress relaxation after large-deformation shear flow, recoil, and hysteresis by: Abstract. The rheological properties of viscoelastic polymeric liquids, which in the case of polymeric melts and solutions, are highly viscous, are mainly tested in very simple flows called viscometric flows and elongational flows.

With experimental data obtained by studying these flows, one can easily and reliably evaluate the descriptive ability of various constitutive Author: A. Leonov, A. Prokunin. However, for fluids with memory, the paper of Pipkin and Owen () on "nearly viscometric flows" provides the most complete implementation of Polymer Fluid Mechanics this method.

Here, the intent is to outline a somewhat more general version of their method which suggests a possible approach to more complex base by: This paper treats the problem of hyperbolicity, change of type and nonlinear wave propagation in the flow of viscoelastic fluids.

Rate equations for fluids with and without instantaneous elasticity are derived and discussed. The equations of fluids with instantaneous elasticity are hyperbolic in unsteady flow and can change type in steady flow.

About this book This book provides readers from academia and industry with an up-to-date overview of important advances in the field, dealing with such fundamental fluid mechanics problems as nonlinear transport phenomena and optimal control of mixing at the micro- and nanoscale.

Phase-plane and small-parameter asymptotic techniques are used to analyze systems of ordinary differential equations that describe the transient behavior of non-Newtonian fluids in shear flow.

These systems approximate the partial differential equations that derive from three-dimensional balance laws and from differential constitutive models for highly elastic by: 4: non-linear viscoelasticity Normal stress effects (Weissenberg et al. ) Main goals - To develop constitutive models that can describe non-linear phenomena such as rod climbing - To use the equations in practical applications such as polymer processing and soft tissue mechanics Ranges of viscoelasticity: the Deborah numberFile Size: KB.

Lecture 26 - Nonlinear viscoelastic phenomena. George Phillies lectures from his book "Phenomenology of Polymer Solution Dynamics". On Slow-Flow Approximations to Fluids with Fading Memory A Comparison of Molecular and Network-Constitutive Theories for Polymer Fluids On Using Rubber as a Guide for Understanding Polymeric Liquid Behavior On Viscoplastic Models Dissipation in Materials with Memory Hyperbolic Phenomena in the Flow of Viscoelastic FluidsBook Edition: 1.

this chapter, both the continuum and tube-model approaches to nonlinear viscoelasticity will be used to build a broad understanding of nonlinear phenomena. A more detailed treatment of all the topics included in this section can be found in the book by Dealy and Larson ().

A Continuum Mechanics Description of Nonlinear Phenomena. The changes to the velocity field for the viscoelastic nonlinear traveling waves qualitatively capture many of those experimentally observed in fully turbulent flows of polymer .A numerical simulation of entry flows in an annular die has been undertaken for Newtonian and power-law fluids as well as viscoelastic fluids that exhibit normal stresses in shear flow.It is critically important that the flow of non-linear viscoelastic fluids in tubes can be predicted on a sound basis, thus the "raison d'etre" of the volume on “Dynamics of Tube Flow of Author: Dennis Siginer.