Effective viscosity and Reynolds number of non-Newtonian fluids using Meter model
| Autor: | Takshak Shende, Masoud Babaei, Vahid Niasar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Shear-thinning fluid
01 natural sciences 010305 fluids & plasmas Reynolds number Physics::Fluid Dynamics symbols.namesake Rheology 0103 physical sciences Shear stress Fluid dynamics Newtonian fluid General Materials Science Micro-capillary fluid flow Physics 010304 chemical physics Turbulence Analytical solution Viscosity Non-Newtonian fluid Laminar flow Mechanics Condensed Matter Physics symbols |
| Zdroj: | Shende, T, Niasar, V & Babaei, M 2021, ' Effective viscosity and Reynolds number of non-Newtonian fluids using Meter model ', Rheologica Acta, vol. 60, no. 1, pp. 11-21 . https://doi.org/10.1007/s00397-020-01248-y |
| Popis: | The Meter model (a four-parameter model) captures shear viscosity–shear stress relationship (S-shaped type) of polymeric non-Newtonian fluids. We devise an analytical solution for radial velocity profile, average velocity, and volumetric flow rate of steady-state laminar flow of non-Newtonian Meter model fluids through a circular geometry. The analytical solution converts to the Hagen–Posseuille equation for the Newtonian fluid case. We also develop the formulations to determine effective viscosity, Reynolds number, and Darcy’s friction factor using measurable parameters as available rheological models do not correctly define these parameters for a given set of flow condition in circular geometry. The analytical solution and formulations are validated against experimental data. The results suggest that the effective Reynolds number and effective friction factor estimated using the proposed formulation help characterize non-Newtonian fluid flow through a circular geometry in laminar and turbulent flows. |
| Databáze: | OpenAIRE |
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