Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids [E-Book] / by A. I. Leonov, A. N. Prokunin.
This monograph presents theoretical and experimental studies of flows of elastic liquids. Falling into this category are particularly the melts and concentrated solutions of such flexible-chain polymers as polyethylene, polyisobutylene and polypropylene, all of which are widely used in polymer proce...
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Full text |
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Personal Name(s): | Leonov, A. I., author |
Prokunin, A. N., author | |
Imprint: |
Dordrecht :
Springer Netherlands,
1994
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Physical Description: |
XVII, 475 p. online resource. |
Note: |
englisch |
ISBN: |
9789401112581 |
DOI: |
10.1007/978-94-011-1258-1 |
Subject (LOC): |
- 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
- A3.3 Component-wise expressions for the velocity gradient tensor and the upper-convected time derivative of recoverable strain tensor
- References.