An Engineering Approach to Modeling Complex Flow Behaviour of Polymer Solutions
The concept of energy dissipation and storage in a linear viscoelastic fluid in oscillatory deformation is used as a basis for generalizing the definition of the Fanning friction factor. First order characteristics of dissipative eddies are used to apply the model to turbulent flow, and the definition of the fluid relaxation time is extended to account for nonlinear properties. The resulting model is used as a basis for correlation of drag reduction data for both fresh and degraded polyacrylamide solutions of various concentrations in a range of tube sizes on a common line with the Newtonian solvent. The model predictions are consistent with other observations on the relation between drag reduction and polymer concentration, degradation, tube diameter, and boundary layer properties.
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