A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration-dependent molecular mobility

DOI10.1007/BF01534296zbMath0513.76009OpenAlexW4234587948MaRDI QIDQ3659355

Hans Walter Giesekus

Publication date: 1982

Published in: Rheologica Acta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01534296

zbMATH Keywords

relaxation timeshear modulusisotropicshear thinningnonlinear relaxationstress-overshootfinite extensional viscositynon-isotropictransient shear flowsconfiguration-dependent tensorial drag coefficient or tensorial mobilityconstitutive models for polymer fluidselastic tractionsentangled network structuresisometric and non-isometric mobilitymotion of structural elements of moleculesmulti-mode modelsnon-disappearing second normal- stress differenceone-mode modelspresent or historysimple upper convected Maxwell model

Mathematics Subject Classification ID

Shear flows and turbulence (76F10) Viscoelastic fluids (76A10) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

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Cites Work

• A phenomenological theory for elastic fluids
• A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility
• A new consitutive equation derived from network theory
• Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids
• An improved simple version of a nonlinear theory of elasto-viscous polymer media
• Nonequilibrium thermodynamics and rheology of viscoelastic polymer media