Control Theory in Rheology
Springer International Publishing (Verlag)
9783031882470 (ISBN)
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.
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.
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.
| Erscheinungsdatum | 20.05.2025 |
|---|---|
| Zusatzinfo | XIII, 225 p. 123 illus., 59 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie |
| Technik ► Elektrotechnik / Energietechnik | |
| Technik ► Maschinenbau | |
| Schlagworte | Boltzmann Superposition Principle for transient viscosity • Control Theory for macromolecular rheology • Detecting Molecular Weight Distribution (MWD) of polymers • Elastic and viscous components in rheological models • Elongational and uniaxial viscosity models in rheology • Formulas for shear, complex, and transient viscosity • Generalized Maxwell model for polymers and macromolecules • Hemorheological method for blood flow analyses • Long-Chain Branching (LCB) and polymer structure distribution • Modelling of macromolecules with Control Theory principles • Polymer flow modeling with Control Theory principles • Practical polymer flow analysis with scientific methods • Relaxation modulus and spectrum at varying temperatures • Rheologically Effective Distribution (RED) • Rheology insights from TomCoat and Tommi Borg • Start-up and transient flow effects in viscoelasticity • Theoretical and practical rheology of macromolecules • Unified Model of viscoelasticity for polymers • Viscoelasticity by Maxwell models and relaxation spectra • Viscosity of plastics in capillary tube |
| ISBN-13 | 9783031882470 / 9783031882470 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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