AIChE Journal · 1984 · 44 citations · 21 references
Friction LossEngineeringFlow ControlFluid MechanicsMechanical EngineeringTurbulenceEnergy DissipationFluid PropertiesMechanicsTurbulent Tube FlowRheologyTransport PhenomenaParticle-laden FlowPipe FlowFlow PhysicHydromechanicsPolymer MeltRheological Constitutive EquationViscoplastic FluidFriction FactorPolymer SolutionTurbulent Flow Heat TransferPolymer ScienceFlow MeasurementPolymer Modeling
Abstract The definition of the pipe flow friction factor has been extended to include the effect of fluid viscoelastic properties on energy dissipation in turbulent tube flow. The resulting friction factor includes a characteristic fluid relaxation time, which can be determined directly from rheological measurements, and reduces to the usual Fanning friction factor for inelastic fluids. The use of this more general friction factor enables turbulent tube flow data for both fresh and shear degraded “concentrated” drag reducing polymer solutions of various concentrations in various tube sizes to be correlated by the usual f vs. N Re relation for Newtonian fluids in smooth tubes.
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P. S. Virk · AIChE Journal · 1975 · 1.1K citations
N. S. Berman · Annual Review of Fluid Mechanics · 1978 · 218 citations