Journal ArticleDOI
On a model for a non-newtonian fluid with cylindrical symmetry: Wave features and similarity solutions
TLDR
In this article, a model describing a non-Newtonian compressible and isotropic fluid was considered in the framework of extended thermodynamics and the governing equations in the particular case of cylindrical symmetry and the propagation of weak discontinuities.Abstract:
In the framework of extended thermodynamics, we consider a model describing a compressible and isotropic non-Newtonian fluid, neglecting heat effects For simplicity we consider the governing equations in the particular case of cylindrical symmetry and look for the propagation of weak discontinuities, comparing the results with those for classical fluids Moreover, under suitable conditions, the system under investigation proves to be invariant with respect to the dilatation group of transformations so that it is possible to characterize similarity solutions Some constitutive relations are characterized for the phenomenological parametersread more
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Journal ArticleDOI
On the evolution of weak discontinuities in a state characterized by invariant solutions
W.F. Ames,Andrea Donato +1 more
TL;DR: A quasilinear hyperbolic system which has a constant state in appropriate similar variables becomes special non-constant state solutions in the original variables as discussed by the authors, and two physical examples from gas dynamics and elastic-plastic deformation are studied.
Journal ArticleDOI
An extended thermodynamic approach to non-Newtonian fluids and related results in Marangoni instability problem
Georgy Lebon,A. Cloot +1 more
TL;DR: In this paper, extended irreversible thermodynamics has been used to model non-Newtonian fluids, where the stress tensor is raised to the status of independent variable and restricted by the second law of thermodynamics, stability of equilibrium and the objectivity principle.
Journal ArticleDOI
Rheological properties of dilute polymer-solutions - an extended thermodynamic approach
TL;DR: In this article, extended irreversible thermodynamics can be used to account for the shear rate and frequency dependences of several material functions like shear viscosity, first and second normal stress coefficients, dynamic viscoity and storage modulus.
Journal ArticleDOI
Legge di evoluzione delle discontinuità e determinazione di una classe di potenziali elastici compatibile con la propagazione di onde eccezionali in un mezzo continuo sottoposto a particolari deformazioni finite
TL;DR: In this article, a potenziale elastico compatibile with the completa eccezionalita delle onde di discontinuita in un mezzo isotropo con simmetria cilindrica sottoposto a deformazioni finite.