Drag Reduction in Polymer-Laden Turbulent Pipe Flow
The turbulence of a realistic dilute solution of DNA macromolecules is investigated through a hybrid Eulerian–Lagrangian approach that directly solves the incompressible Navier–Stokes equation alongside the evolution of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&qu...
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MDPI AG
2022-11-01
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Series: | Fluids |
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Online Access: | https://www.mdpi.com/2311-5521/7/11/355 |
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author | Francesco Serafini Francesco Battista Paolo Gualtieri Carlo Massimo Casciola |
author_facet | Francesco Serafini Francesco Battista Paolo Gualtieri Carlo Massimo Casciola |
author_sort | Francesco Serafini |
collection | DOAJ |
description | The turbulence of a realistic dilute solution of DNA macromolecules is investigated through a hybrid Eulerian–Lagrangian approach that directly solves the incompressible Navier–Stokes equation alongside the evolution of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>8</mn></msup></semantics></math></inline-formula> polymers, modelled as finitely extensible nonlinear elastic (FENE) dumbbells. At a friction Reynolds number of 320 and a Weissenberg number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mo>×</mo><msup><mn>10</mn><mn>4</mn></msup></mrow></semantics></math></inline-formula>, the drag reduction is equal to 26%, which is similar to the one obtained at the lower Reynolds number of 180. The polymers induce an increase in the flow rate and the turbulent kinetic energy, whose axial contribution is predominantly augmented. The stress balance is analysed to investigate the causes of the drag reduction and eventually the effect of the friction Reynolds number on the probability distribution of the polymer configuration. Near the wall, the majority of the polymers are fully stretched and aligned along the streamwise direction, inducing an increase in the turbulence anisotropy. |
first_indexed | 2024-03-09T18:20:51Z |
format | Article |
id | doaj.art-a89e19d1dae84585a6200e7485757dcd |
institution | Directory Open Access Journal |
issn | 2311-5521 |
language | English |
last_indexed | 2024-03-09T18:20:51Z |
publishDate | 2022-11-01 |
publisher | MDPI AG |
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series | Fluids |
spelling | doaj.art-a89e19d1dae84585a6200e7485757dcd2023-11-24T08:20:19ZengMDPI AGFluids2311-55212022-11-0171135510.3390/fluids7110355Drag Reduction in Polymer-Laden Turbulent Pipe FlowFrancesco Serafini0Francesco Battista1Paolo Gualtieri2Carlo Massimo Casciola3Department of Mechanical and Aerospace Engineering, Sapienza University, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Mechanical and Aerospace Engineering, Sapienza University, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Mechanical and Aerospace Engineering, Sapienza University, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Mechanical and Aerospace Engineering, Sapienza University, Via Eudossiana 18, 00184 Rome, ItalyThe turbulence of a realistic dilute solution of DNA macromolecules is investigated through a hybrid Eulerian–Lagrangian approach that directly solves the incompressible Navier–Stokes equation alongside the evolution of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>8</mn></msup></semantics></math></inline-formula> polymers, modelled as finitely extensible nonlinear elastic (FENE) dumbbells. At a friction Reynolds number of 320 and a Weissenberg number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2</mn><mo>×</mo><msup><mn>10</mn><mn>4</mn></msup></mrow></semantics></math></inline-formula>, the drag reduction is equal to 26%, which is similar to the one obtained at the lower Reynolds number of 180. The polymers induce an increase in the flow rate and the turbulent kinetic energy, whose axial contribution is predominantly augmented. The stress balance is analysed to investigate the causes of the drag reduction and eventually the effect of the friction Reynolds number on the probability distribution of the polymer configuration. Near the wall, the majority of the polymers are fully stretched and aligned along the streamwise direction, inducing an increase in the turbulence anisotropy.https://www.mdpi.com/2311-5521/7/11/355turbulencepolymer dynamicsviscoelastic flows |
spellingShingle | Francesco Serafini Francesco Battista Paolo Gualtieri Carlo Massimo Casciola Drag Reduction in Polymer-Laden Turbulent Pipe Flow Fluids turbulence polymer dynamics viscoelastic flows |
title | Drag Reduction in Polymer-Laden Turbulent Pipe Flow |
title_full | Drag Reduction in Polymer-Laden Turbulent Pipe Flow |
title_fullStr | Drag Reduction in Polymer-Laden Turbulent Pipe Flow |
title_full_unstemmed | Drag Reduction in Polymer-Laden Turbulent Pipe Flow |
title_short | Drag Reduction in Polymer-Laden Turbulent Pipe Flow |
title_sort | drag reduction in polymer laden turbulent pipe flow |
topic | turbulence polymer dynamics viscoelastic flows |
url | https://www.mdpi.com/2311-5521/7/11/355 |
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