A FENE-P k - epsilon Viscoelastic Turbulence Model Valid up to High Drag Reduction without Friction Velocity Dependence

• Type: Article in International Scientific Journal
• Date: 2020

Authors

McDermott, M (Author) Other; Resende, P (Author) Other; Charpentier, T (Author) Other; Wilson, M (Author) Other; Afonso, AM (Author) FEUP; Harbottle, D (Author) Other; de Boer, G (Author) Other

Journal

Title: Applied Sciences

Vol. 10

Pages: 1-21

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

ScienceDirect (Elsevier)

EBSCO

Scientific classification

CORDIS: Technological sciences > Engineering > Mechanical engineering ; Technological sciences > Engineering > Chemical engineering ; Physical sciences > Mathematics > Computational mathematics > Computational models

Other information

Authenticus ID: P-00T-175

DOI: 10.3390/app10228140

Abstract (EN): A viscoelastic turbulence model in a fully-developed drag reducing channel flow is improved, with turbulent eddies modelled under a k-epsilon representation, along with polymeric solutions described by the finitely extensible nonlinear elastic-Peterlin (FENE-P) constitutive model. The model performance is evaluated against a wide variety of direct numerical simulation data, described by different combinations of rheological parameters, which is able to predict all drag reduction (low, intermediate and high) regimes with good accuracy. Three main contributions are proposed: one with a simplified viscoelastic closure for the NLTij term (which accounts for the interactions between the fluctuating components of the conformation tensor and the velocity gradient tensor), by removing additional damping functions and reducing complexity compared with previous models; second through a reformulation for the closure of the viscoelastic destruction term, E tau p, which removes all friction velocity dependence; lastly by an improved modified damping function capable of predicting the reduction in the eddy viscosity and thus accurately capturing the turbulent kinetic energy throughout the channel. The main advantage is the capacity to predict all flow fields for low, intermediate and high friction Reynolds numbers, up to high drag reduction without friction velocity dependence.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 21