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EFFECT OF INTERNAL VISCOSITY OF POLYMERIC FLUIDS UNDER STRONG EXTENSIONAL FLOWS
Authors:Xiao-dong Yang  Roderick V N Melnik
Institution:Department of Engineering Mechanics, Shenyang Institute of Aeronautical Engineering, Shenyang 110136, China Mathematical Modelling &; Computational Sciences, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
Abstract:The dumbbell model with internal viscosity for a dilute polymer solution is investigated based on a balance of viscous drag and restoring Brownian forces.An approximate method is used to obtain the solution of extensional stress in closed furm in the case of steady flow.For different internal viscosities,this parametric study shows different asymptotic regimes of the extensional viscosity as a function of strain rate.This analysis may explain the attenuation of pressure drop in strong flows from a phenomenological point of view.
Keywords:Polymeric fluid  Internal viscosity  Extensional viscosity
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