Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation

Barakos, G. and Mitsoulis, E. (1995) Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation. Journal of Rheology, 39(6), pp. 1279-1292. (doi: 10.1122/1.550636)

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Abstract

Numerical simulations have been undertaken for the flow of a 5 wt. % polyisobutylene (PIB) solution in tetradecane (C14) around a cylinder placed between parallel plates. The PIB solution has been the subject of an extensive rheological characterization and the flow geometry corresponds to the one used in a previous study for laser Doppler anemometry and flow‐induced birefringence measurements. The constitutive equation used is an integral‐type K‐BKZ model with a relaxation spectrum, which fits well experimental data for the shear and elongational viscosities and the normal stresses as measured in shear flow. Stable numerical solutions have been obtained and used to compare the K‐BKZ model predictions with the experimental data reported recently by Baaijens. The velocity and shear stress values predicted by the simulation are in excellent agreement with the experimental ones. Very good agreement is also obtained for the predictions of the first normal stress difference both before and after the cylinder, in sharp contrast with previous experimental results, which had shown a much slower relaxation of the stresses. The drag force exerted by the fluid on the cylinder has been calculated and reported to be a decreasing function of the Deborah number De.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barakos, Professor George
Authors: Barakos, G., and Mitsoulis, E.
College/School:College of Science and Engineering > School of Engineering > Autonomous Systems and Connectivity
Journal Name:Journal of Rheology
Publisher:Society of Rheology
ISSN:0148-6055
ISSN (Online):1520-8516
Published Online:04 June 1998

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