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On the Peterlin approximation for turbulent flows of polymer solutions

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The FENE-P model is widely employed in numerical simulations of flows of polymer solutions; it qualitatively reproduces the main features of turbulent drag reduction, but generally does not yield results in quantitative agreement with experimental data. The FENE-P model utilizes a closure approximation introduced by Peterlin. We examine the validity of Peterlin’s approximation by comparing the statistics of polymer extension and orientation as given by the FENE-P model with the results of Lagrangian simulations of polymer deformation in homogeneous and isotropic turbulence.

Author(s):

Luca Biferale    
Università di Roma "Tor Vergata"
Italy

Prasad Perlekar    
Technische Universiteit Eindhoven
Netherlands

Federico Toschi    
Technische Universiteit Eindhoven
Netherlands

Dario Vincenzi    
Université de Nice Sophia Antipolis
France