Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions
The aim of this paper is to present a new phenomenological rheological model suitable for the description of a wide class of viscoelastic fluids. Classical phenomenological models predict the relation shear viscosity vs. shear rate (or shear stress) for shear-thinning (or thickening) materials exhib...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2004-04-01
|
| Series: | Applied Rheology |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/arh-2004-0004 |
| _version_ | 1818726629211373568 |
|---|---|
| author | David J. Filip P. |
| author_facet | David J. Filip P. |
| author_sort | David J. |
| collection | DOAJ |
| description | The aim of this paper is to present a new phenomenological rheological model suitable for the description of a wide class of viscoelastic fluids. Classical phenomenological models predict the relation shear viscosity vs. shear rate (or shear stress) for shear-thinning (or thickening) materials exhibiting smooth monotonous passage from the first - upper (lower) - Newtonian plateau to the second - lower (upper) - one. However, present state of non-Newtonian materials used in practice (ranging from aqueous surfactant solutions, bituminous materials, associative polymers, polymer thickeners, lacquers and gels, to some special disperse systems, etc.) evokes the need to describe this - for many materials non-monotonous - relation in the corresponding way, i.e. through the sufficiently simple phenomenological model with a moderate number of parameters. A six-parameter model enabling description of not only monotonous but also non-monotonous course of shear viscosity function against shear rate (stress) is proposed including physical characterisation of the parameters. This model describes not only extreme points (maximum or minimum) but also a possible appearance of intermediate Newtonian plateau or its indication. The meaning and influence of the individual six parameters is documented on the experimental data published in the literature. There is a good agreement of the model proposed with many different experimental data representing different rheological behaviour. The applicability of this model for a wide class of viscoelastic materials is its principal advantage over the hitherto published phenomenological models. |
| first_indexed | 2024-12-17T22:01:14Z |
| format | Article |
| id | doaj.art-46a9fcd0d0024a13a4db81d021b902be |
| institution | Directory Open Access Journal |
| issn | 1617-8106 |
| language | English |
| last_indexed | 2024-12-17T22:01:14Z |
| publishDate | 2004-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Applied Rheology |
| spelling | doaj.art-46a9fcd0d0024a13a4db81d021b902be2022-12-21T21:30:59ZengDe GruyterApplied Rheology1617-81062004-04-01142828810.1515/arh-2004-0004Phenomenological Modelling of Non-Monotonous Shear Viscosity FunctionsDavid J.0Filip P.1Institute of Hydrodynamics, Acad.Sci.Czech Rep., Pod Patankou 5, 166 12 Prague 6, Czech RepublicInstitute of Hydrodynamics, Acad.Sci.Czech Rep., Pod Patankou 5, 166 12 Prague 6, Czech RepublicThe aim of this paper is to present a new phenomenological rheological model suitable for the description of a wide class of viscoelastic fluids. Classical phenomenological models predict the relation shear viscosity vs. shear rate (or shear stress) for shear-thinning (or thickening) materials exhibiting smooth monotonous passage from the first - upper (lower) - Newtonian plateau to the second - lower (upper) - one. However, present state of non-Newtonian materials used in practice (ranging from aqueous surfactant solutions, bituminous materials, associative polymers, polymer thickeners, lacquers and gels, to some special disperse systems, etc.) evokes the need to describe this - for many materials non-monotonous - relation in the corresponding way, i.e. through the sufficiently simple phenomenological model with a moderate number of parameters. A six-parameter model enabling description of not only monotonous but also non-monotonous course of shear viscosity function against shear rate (stress) is proposed including physical characterisation of the parameters. This model describes not only extreme points (maximum or minimum) but also a possible appearance of intermediate Newtonian plateau or its indication. The meaning and influence of the individual six parameters is documented on the experimental data published in the literature. There is a good agreement of the model proposed with many different experimental data representing different rheological behaviour. The applicability of this model for a wide class of viscoelastic materials is its principal advantage over the hitherto published phenomenological models.https://doi.org/10.1515/arh-2004-0004viscosityphenomenological modellingnon-monotonous behaviour |
| spellingShingle | David J. Filip P. Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions Applied Rheology viscosity phenomenological modelling non-monotonous behaviour |
| title | Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions |
| title_full | Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions |
| title_fullStr | Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions |
| title_full_unstemmed | Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions |
| title_short | Phenomenological Modelling of Non-Monotonous Shear Viscosity Functions |
| title_sort | phenomenological modelling of non monotonous shear viscosity functions |
| topic | viscosity phenomenological modelling non-monotonous behaviour |
| url | https://doi.org/10.1515/arh-2004-0004 |
| work_keys_str_mv | AT davidj phenomenologicalmodellingofnonmonotonousshearviscosityfunctions AT filipp phenomenologicalmodellingofnonmonotonousshearviscosityfunctions |