Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

Inbunden, Engelska, 1994

AvA.I. Leonov,A.N. Prokunin

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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. Experimental methods, experimental device schemes, principal rheological effects and dependencies are considered, as are the constitutive equations consistent with thermodynamics which are able to describe experimental data, and the methods of evaluation of rheological parameters within these equations. Numerous comparisons are made between predictions and experimental data that demonstrate which properties of the constitutive equations are particularly related to one or another effect. Applications of results to industrial problems are also discussed. This book should be of interest to those working in research and development in the field of polymer processing, as well as in the food and oil industries.It is aimed at polymer rheologists, gels and food scientists; senior undergraduates, graduates and researchers working in the fields of polymer and food processing as well as the oil industry.

Produktinformation

Utgivningsdatum1994-04-30
Mått155 x 235 x 32 mm
Vikt907 g
FormatInbunden
SpråkEngelska
Antal sidor475
Upplaga1994
FörlagChapman and Hall
ISBN9780412582004

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1 Constitutive Equations with a Recoverable Strain Tensor as an Internal Parameter.- 2 Other Constitutive Equations for Elastic Liquids.- 3 Analyses of Simple Constitutive Equations for Viscoelastic Liquids.- 4 Experimental Methods in the Rheology of Viscoelastic Liquids.- 5 Theoretical and Experimental Investigation of Shear Deformations in Elastic Polymeric Liquids.- 6 Experimental and Theoretical Studies of Uniaxial Uniform Extension of Polymeric Liquids.- 7 On Hardening Phenomena in Flows of Polymeric Liquids.- 8 Flows of Polymeric Viscoelastic Liquids in Channels and Pipes.- 9 Non-isothermal Flows of Polymeric Liquids.- 10 Flows Close to Simple Shear and Simple Extension.- 11 Melt Flow Instabilities.- 12 Additional Problems in the Rheology of Polymeric Fluids.- Appendices.- A1 Kinematics of continuum.- A1.1 Eulerian and Lagrangian descriptions.- A1.2 Basis vectors and tensors.- A1.3 Strain gradient tensors.- A1.4 Cayley polar decomposition.- A1.5 Strain measures.- A1.6 Invariants of tensors and Hamilton-Cayley identity. D(ensity).- A1.7 Scalar functions of tensors and their tensor derivatives.- A1.8 Strain rate and vorticity tensors.- A1.9 Evolution equation for strains.- A1.10 Continuity equation.- A2 A brief introduction into non-equilibrium thermodynamics.- A2.1 Conservation laws: the local formulation of the First Law of Thermodynamics.- A2.2 Local equilibrium assumption: Gibbs’ relation. A local formulation of the Second Law of Thermodynamics.- A2.3 Expressions for entropy production, entropy flux and heat capacity.- A2.4 Generalized thermodynamic forces and fluxes.- A3 Component-wise expressions for basic equations.- A3.1 The equations of momentum balance and continuity for incompressible media.- A3.2 Equation for temperature variations.- A3.3Component-wise expressions for the velocity gradient tensor and the upper-convected time derivative of recoverable strain tensor.- References.