A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates
The aim of this paper is to present a model for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory is first generalized to take into account the fact that, during a flow experiment, mechanical energy is injected in...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Condensed Matter |
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| Online Access: | https://www.mdpi.com/2410-3896/8/1/22 |
| _version_ | 1797612578966339584 |
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| author | Frédéric Aitken Ferdinand Volino |
| author_facet | Frédéric Aitken Ferdinand Volino |
| author_sort | Frédéric Aitken |
| collection | DOAJ |
| description | The aim of this paper is to present a model for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory is first generalized to take into account the fact that, during a flow experiment, mechanical energy is injected in a system initially at thermodynamic equilibrium. This generalized theory can be seen as a particular aspect of the general problem of perturbation by the measurement, associated with that of the coupling between fluctuation and dissipation. This generalization leads to a “finitary” character of the model. It is then combined with the inertial mode theory. The formalism thus obtained allows us to model the rheological behavior of liquids over a wide range of velocity gradients, including the intermediate narrow range corresponding to the Newtonian regime. As experimental tests, viscosity measurements with two kinds of moving rotor rheometers were performed. Only data obtained with liquid water at room temperature are presented and quantitatively analyzed here. It is also shown that liquid n-octane exhibits the same qualitative behaviors as those of liquid water. In the appendices, connection of this theory with quantum mechanics and turbulence phenomena are discussed, and the notion of viscous mass is introduced. |
| first_indexed | 2024-03-11T06:43:07Z |
| format | Article |
| id | doaj.art-c0a9a374c8614369b83d1037368bc47b |
| institution | Directory Open Access Journal |
| issn | 2410-3896 |
| language | English |
| last_indexed | 2024-03-11T06:43:07Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Condensed Matter |
| spelling | doaj.art-c0a9a374c8614369b83d1037368bc47b2023-11-17T10:26:56ZengMDPI AGCondensed Matter2410-38962023-02-01812210.3390/condmat8010022A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear RatesFrédéric Aitken0Ferdinand Volino1G2ELab, CNRS, Grenoble INP, University Grenoble Alpes, F-38000 Grenoble, FranceG2ELab, CNRS, Grenoble INP, University Grenoble Alpes, F-38000 Grenoble, FranceThe aim of this paper is to present a model for the rheological behavior of simple liquids as a function of the amplitude of the imposed shear stress or strain. The elastic mode theory is first generalized to take into account the fact that, during a flow experiment, mechanical energy is injected in a system initially at thermodynamic equilibrium. This generalized theory can be seen as a particular aspect of the general problem of perturbation by the measurement, associated with that of the coupling between fluctuation and dissipation. This generalization leads to a “finitary” character of the model. It is then combined with the inertial mode theory. The formalism thus obtained allows us to model the rheological behavior of liquids over a wide range of velocity gradients, including the intermediate narrow range corresponding to the Newtonian regime. As experimental tests, viscosity measurements with two kinds of moving rotor rheometers were performed. Only data obtained with liquid water at room temperature are presented and quantitatively analyzed here. It is also shown that liquid n-octane exhibits the same qualitative behaviors as those of liquid water. In the appendices, connection of this theory with quantum mechanics and turbulence phenomena are discussed, and the notion of viscous mass is introduced.https://www.mdpi.com/2410-3896/8/1/22shear-thinningshear-thickeningviscosityliquiddynamic phase transitionwater |
| spellingShingle | Frédéric Aitken Ferdinand Volino A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates Condensed Matter shear-thinning shear-thickening viscosity liquid dynamic phase transition water |
| title | A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates |
| title_full | A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates |
| title_fullStr | A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates |
| title_full_unstemmed | A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates |
| title_short | A Novel Approach for Modeling the Non-Newtonian Behavior of Simple Liquids: Application to Liquid Water Viscosity from Low to High Shear Rates |
| title_sort | novel approach for modeling the non newtonian behavior of simple liquids application to liquid water viscosity from low to high shear rates |
| topic | shear-thinning shear-thickening viscosity liquid dynamic phase transition water |
| url | https://www.mdpi.com/2410-3896/8/1/22 |
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