Pressure-drop and kinematics of viscoelastic flow through an axisymmetric contraction–expansion geometry with various contraction-ratios
| Autor: | Fausto Calderas, M. Pérez-Camacho, Octavio Manero, M.F. Webster, J.E. López-Aguilar |
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| Rok vydání: | 2015 |
| Předmět: |
Flow visualization
Materials science Applied Mathematics Mechanical Engineering General Chemical Engineering Constant Viscosity Elastic (Boger) Fluids Geometry Mechanics Apparent viscosity Condensed Matter Physics Hagen–Poiseuille equation Condensed Matter::Soft Condensed Matter Physics::Fluid Dynamics Viscosity Generalized Newtonian fluid Newtonian fluid General Materials Science Extensional viscosity |
| Zdroj: | Journal of Non-Newtonian Fluid Mechanics. 222:260-271 |
| ISSN: | 0377-0257 |
| DOI: | 10.1016/j.jnnfm.2015.01.013 |
| Popis: | One of the relevant benchmark problems in pressure-driven flows, that of flow through an axisymmetric expansion–contraction geometry, is addressed in this study. Three fluids have been considered: a Newtonian (theoretically simulated based on the Poiseuille and Samson solutions), Boger and a shear-thinning polymer solution. Particular attention is given to the pressure-drop and kinematics obtained in a flow apparatus specifically designed for various contraction-ratios (2:1:2, 4:1:4, 6:1:6, 8:1:8, 10:1:10). Both viscoelastic fluids present large magnitudes of normal stress under simple shear flow. The three fluids have the same viscosity at low shear-rates. The Boger fluid (polyacrylamide in a syrup-water solution) possesses a constant viscosity over a wide range of shear-rates. The shear-thinning fluid also has a wide range of first Newtonian plateau before the onset of shear-thinning. Findings for the Boger fluid reflect, initially, a decreasing pressure-drop below the Newtonian reference line (excess pressure-drop “epd” lower than unity), followed by values larger than one as the contraction-ratio increases. This can be explained on the basis of the extensional viscosity behaviour in the contraction section of the geometry. The shear-thinning polymer solution (HASE-type associative polymer) shows a reduction in epd below the Newtonian curve for small contraction-ratios (due to shear-thinning). However, in more abrupt contractions, the extensional flow behaviour dominates the shear-thinning effects: first attaining a Newtonian equivalent value (producing an epd of one), and then, showing values larger than unity as the contraction-ratio becomes more severe. Kinematic fields illustrated by flow visualization reveal several different sizes of the corner-vortex, which are related to the relative contributions from the first normal stress difference (N1) and extensional stress throughout the geometry. Transitions from lip-to-corner vortex are related to the transition from shear-dominated to extension-dominated flows. Experimental data, for the Boger fluid on 4:1:4 contraction-ratio, are contrasted against numerical simulation results for a constant-shear-viscosity/extension-hardening FENE-CR model. Trends demonstrate qualitative agreement on epd and vortex activity, which also reveal an interesting interplay between N1 and extensional viscosity. |
| Databáze: | OpenAIRE |
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