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Corresponding Author

Mohamed Samir Fouda

ORCID

author 2 : 0000-0002-4121-0747

Subject Area

Mechanical Power Engineering

Article Type

Original Study

Abstract

In the present study, a standard eddy viscosity turbulence model for Newtonian fluids has been developed to predict the drag reduction and the mean velocity profile of drag reducing fluids. In addition, this model is an extension of FENE-P eddy viscosity model for viscoelastic fluids without using any additional constitutive equation.

In this paper, the first section is concerned with developing a new correlation for the eddy viscosity equation, which depends on the flow and rheological parameters, based on the Direct Numerical Simulation (DNS) data. For this purpose, a User Defined Function (UDF) was interpreted to Fluent 16.1 solver to supersede the Newtonian eddy viscosity with a new average eddy viscosity which is pertinent to the characteristics of the polymer solution. In the second section, the validity of the created model was compared with the results of experiments and DNS model for fully developed turbulent channel flow for other investigators. The developed model predictions for the drag reduction and the mean velocity profile showed good agreement with the DNS model and experimental results at low and intermediate drag reduction regions (i.e.). In contrast, in high drag reduction and near Virk’s asymptote region (i.e.), the accuracy of the model was lost.

Finally, the present model is an extension of Reynolds averaged Navier Stokes equation based on standard model. Consequently, the model can be more practical at higher values of Reynolds number and complex geometries other than the DNS model, which poses benefits only at lower values of Reynolds number and simple geometry

Keywords

Turbulence model, Eddy viscosity, Drag reduction, polymer solutions

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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