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Ebook: Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids

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27.01.2024
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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 processing. These polydisperse polymers vary greatly, from batch to batch, in their mechanical properties and 20% variation in a property is believed to be good enough. l 7 All recent books - devoted to the rheology of polymers do not answer the question of which constitutive equations should be used for solving the fluid mechanic problems of polymer processing in the usual case of an appreciable nonlinear region of deformation where nonlinear effects of shear and extensional elasticity are very important. Viscoelastic constitut­ ive equations cited commonly (see, e.g. Refs 5 and 6) do not describe simultaneously even the simplest cases of deformations, viz. simple shear and uniaxial extension. Moreover, some of them are internally inconsist­ ent and sometimes display highly unstable behaviour in simple flows without any fundamental reasons. Even more respected molecular ap­ free from these defects.








Content:
Front Matter....Pages i-xvii
Constitutive Equations with a Recoverable Strain Tensor as an Internal Parameter....Pages 1-31
Other Constitutive Equations for Elastic Liquids....Pages 32-53
Analyses of Simple Constitutive Equations for Viscoelastic Liquids....Pages 54-77
Experimental Methods in the Rheology of Viscoelastic Liquids....Pages 78-112
Theoretical and Experimental Investigation of Shear Deformations in Elastic Polymeric Liquids....Pages 113-169
Experimental and Theoretical Studies of Uniaxial Uniform Extension of Polymeric Liquids....Pages 170-198
On Hardening Phenomena in Flows of Polymeric Liquids....Pages 199-223
Flows of Polymeric Viscoelastic Liquids in Channels and Pipes....Pages 224-259
Non-isothermal Flows of Polymeric Liquids....Pages 260-296
Flows Close to Simple Shear and Simple Extension....Pages 297-355
Melt Flow Instabilities....Pages 356-395
Additional Problems in the Rheology of Polymeric Fluids....Pages 396-409
Back Matter....Pages 410-475



Content:
Front Matter....Pages i-xvii
Constitutive Equations with a Recoverable Strain Tensor as an Internal Parameter....Pages 1-31
Other Constitutive Equations for Elastic Liquids....Pages 32-53
Analyses of Simple Constitutive Equations for Viscoelastic Liquids....Pages 54-77
Experimental Methods in the Rheology of Viscoelastic Liquids....Pages 78-112
Theoretical and Experimental Investigation of Shear Deformations in Elastic Polymeric Liquids....Pages 113-169
Experimental and Theoretical Studies of Uniaxial Uniform Extension of Polymeric Liquids....Pages 170-198
On Hardening Phenomena in Flows of Polymeric Liquids....Pages 199-223
Flows of Polymeric Viscoelastic Liquids in Channels and Pipes....Pages 224-259
Non-isothermal Flows of Polymeric Liquids....Pages 260-296
Flows Close to Simple Shear and Simple Extension....Pages 297-355
Melt Flow Instabilities....Pages 356-395
Additional Problems in the Rheology of Polymeric Fluids....Pages 396-409
Back Matter....Pages 410-475
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