Engineering rheology
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Bibliographic Information
Engineering rheology
（The Oxford engineering science series, 14）
Clarendon Press , Oxford University Press, 1988
Rev. ed
- : pbk
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Includes bibliographies and indexes
Description and Table of Contents
Description
This book sets out to provide a guide for those who wish to make predictions about the behaviour of non-Newtonian fluids in engineering. The plan of the book is centred around kinematics - that there is a great interplay of the microscopic variables relevant to a non-Newtonian fluid and the stresses developed in a given large-scale kinematic field. The text starts with surveys of some non-Newtonian behaviour and of classical continuum mechanics. This is followed by a description of the two main kinematic fields - shearing and extensional flows. A survey of continuum and molecular-based relations is also given and recommendations are made for the choice of constitutive relation for various problems - kinematics is the main factor in the choice of equation. A chapter is devoted to a discussion of lubrication and calendaring as examples of flows that are close to viscometric or shearing flows.
Spinning and film-blowing are used to illustrate nearly extensional flows and because of the analytical difficulties present in non-Newtonian fluid mechanics, a chapter is devoted to numerical methods of solution (finite elements and boundary elements) using as examples the entry flow and extrudate swell problems. The topic of thermal effects in flows is then presented and the final chapter contains material on stability and turbulence, including drag reduction in dilute solutions. This revised edition also contains an updated chapter on extrusion, in particular taking into account the progress in numerical simulation.
Table of Contents
- Part 1 Introduction to rheology: description of non-Newtonian fluid behaviour in shear. Part 2 Review of continuum mechanics: stress
- motion and deformation
- conservation of mass, momentum and energy - Reynold's transport theorem
- some results in polar co-ordinates. Part 3 Viscometric and elongational flows: partially controllable flows - Poiseuille flows, Couette flow and helical flows
- unsteady shearing flows - Pipkin's classification diagram for shearing flows. Part 4 Continuum-derived theories and experimental data: Reiner-Rivlin and purely viscous fluids
- Oldroyd's developments
- Rivlin-Ericksen expansions
- Green-Rivlin expansions
- the Kaye-Bernstein-Kearsley-Zapas (KBKZ) model. Part 5 Dilute and concentrated fluid theories: the polymer molecule
- constitutive equations for dilute dumbbell solutions with Hookean springs - response of the convected Maxwell model
- weak and strong flow classification via dumb-bell mechanics - a definition of the Weissenberg number, the Deborah number
- dumbbells with limited extension - the approach of Acierno and co-workers
- theories for molten polymers and concentrated solutions - the Lodge-Yamamoto network theory, the relaxation of the Gaussian spring assumption, the developments of Wagner, the Kaye and Leonov models, Doi-Edwards theory. Part 6 Lubrication, calendaring and related flows: Newtonian and generalized Newtonian lubrication theory
- boundary-layer flows - the Rayleigh problem. Part 7 Fibre spinning and film blowing: steady-state isothermal theory for inelastic fluids
- results for large Weissenberg numbers
- Newtonian and non-Newtonian solutions
- Maxwell fluid with temperature variation. Part 8: extrusion and related transitional flows. Part 9 Temperature and pressure effects: pressure and temperature-induced variations of viscosity - the Williams-Landel-Ferry shift factor
- the Morland-Lee hypothesis. Part 10 Stability of flow and turbulence: Couette flow stability
- turbulence - friction factor as a function of Reynolds number. Appendix: the Galerkin method for finding eigen values.
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