Control Theory in Rheology: An Introduction to Practical Applications

Author:   Tommi Borg
Publisher:   Springer International Publishing AG
ISBN:  

9783031882470


Pages:   225
Publication Date:   23 June 2025
Format:   Hardback
Availability:   Not yet available   Availability explained
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Control Theory in Rheology: An Introduction to Practical Applications


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Overview

This book bridges the gap between theoretical rheology and practical industry applications by introducing Control Theory (CT) and the linear Unified Model. This approach enables the modelling and analysis of various viscoelastic flows as well as polymer and macromolecular structures. In practical engineering, the design of machinery and equipment for polymers often relies on handbooks, respective textbooks, and numerous CAD-aided software tools based on empirical formulas. This book presents many useful viscoelastic constitutive equations for analysing and model shear and complex flows, relaxation modulus and spectrum, elongation, transient viscosity, and for computing the Molecular Weight Distribution (MWD) from viscoelastic measurements. The book adopts a counterintuitive approach, starting afresh and proceeding chronologically from steady-state viscosity and other flows relevant to practical engineering to the theoretical formulas of relaxation phenomena. It simplifies unnecessary complexity while still drawing on the well-documented motions of molecular chains. Furthermore, the book offers deeper insights into the background of power-law theories and the Cox-Merz rule, supplying new formulas for the relaxation modulus, spectrum, and various modules through the application of unified formulas. Professionals and scholars alike will find it a handy reference tool.

Full Product Details

Author:   Tommi Borg
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
ISBN:  

9783031882470


ISBN 10:   3031882474
Pages:   225
Publication Date:   23 June 2025
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

1.Theoretical and Practical Rheology.- 2.The Principle of Control Theory (CT).- 3.Basics of distribution Functions.- 4.Steady Shear Viscosity.- 5.Complex Viscosit.- 6.Relaxation Modulus.- 7.Converting RED function to MWD.- 8.From MWD to RED  and back again.- 9.From measured viscosity data to MWD.- 10.Start-up and transient flow effects.- 11.Elongational viscosity.- 12.Temperature and viscoelastic relations.- 13.Computation Cases.- 14.Overview of the Unified Model.- 15.Hemorheological method for analyses.- 16.Comparison With other known models.

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Author Information

Tommi Borg has been active in plastics conversion since the 1960s, starting as a trainee at extrusion and polymerization plants in Finland and Sweden. He studied physics and computer science at the University of Oulu during the 1970s, leading to his first Finnish patent being granted in 1977, followed by his first international patent in 1989. He has decades of experience in engineering extrusion lines and die designs. He worked at extrusion plants from 1979 to 1993, after which he became an independent researcher and an international consultant in plastics and software. He focused on developing viscoelasticity models that were more accurate than existing Maxwell and power-law models.

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