Turbulent pipe flow predictions with a low Reynolds number k–ε model for drag reducing fluids

Cruz, D. O. A.; Pinho, F.T.

doi:10.1016/s0377-0257(03)00119-8

Cited by 63 publications

(80 citation statements)

References 37 publications

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“…The rather poor agreement between numerical results and experimental data for certain polymer solutions 22,23) may have simply arisen because the fluid under investigation does not perfectly obey the modified GNF rheological model as proposed by Pinho. 21) Another explanation for the abovementioned discrepancy may lie in the fact that the Nagano-…”

Section: 23)mentioning

confidence: 96%

“…In practice, however, Pinho 21) had to modify this rheological model in such a way that it could account for both shear-thinning and strainthickening behavior of dilute polymer solutions (as required by any realistic simulation of dilute polymer solutions). Having integrated this particular viscoelastic fluid model with the Nagano-Hishida k-e turbulence model, Cruz and Pinho 22) , and…”

Section: Newtonian Fluidsmentioning

confidence: 99%

“…Assuming that this damping function is the same as the damping function for the eddy viscosity, Cruz and Pinho 22) derived the following form for f v which takes into account both shear and extensional properties of the fluid:…”

Section: The Direct Problemmentioning

confidence: 99%

“…12, takes into account the effect of spatial variation of the molecular viscosity, and so requires some knowledge about the constitutive behavior of the fluid. This term includes a new coefficient, C e 4 , which was set equal to one by Cruz and Pinho 22) , and Cruz et al 23) because of the lack of sufficient experimental data. In the present work,…”

Section: The Direct Problemmentioning

confidence: 99%

“…In above equations, the Reynolds shear stress is modeled as: where U is the average velocity, and n T is the eddy viscosity defined by: The formulations presented above contain several parameters (namely, D, E, f 1 , f 2 ) which depend on the selection of the low-Reynolds number k-e model adopted for the analysis. The turbulence model used by Cruz and Pinho 22) , and…”

Section: The Direct Problemmentioning

confidence: 99%

See 4 more Smart Citations

On the Use of Inverse Methods to Parameter Estimation in Turbulent Pipe Flows of Drag Reducing Polymers

Mehrabadi

Sadeghy

Hakkaki-Fard

et al. 2008

J. Soc. Rheol., Jpn

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This article investigates the applicability of inverse methods in estimating the best values to be assigned to certain parameters which appear in turbulent flow studies of dilute polymer solutions in circular pipes. These parameters naturally arise when the Nagano-Hishida low-Re, k-e model is combined with a special form of the Generalized Newtonian Fluid model modified in such a way that it could account for the elasticity of dilute polymer solutions. This multi-objective problem is treated by a positively weighted convex sum of the objectives. Then the procedure is followed by a well-known Gauss-Newton nonlinear optimization method for optimizing model parameters in order to better predict the drag reduction phenomenon using polymeric additives. Parameter optimization relies on the availability of experimental data for the velocity profiles, friction factor, and turbulence kinetic energy for at least one concentration of a given polymer. It is shown that using these optimized parameters, it is possible to predict with more accuracy the amount of drag reduction achievable using a given polymeric additive. It is also shown that these parameters may neither work for other concentrations of the same polymer nor necessarily for any concentration of any other polymer, inferring that for non-Newtonian fluids these parameters are not at all universal.

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Section: 23)mentioning

confidence: 96%

Section: Newtonian Fluidsmentioning

confidence: 99%

Section: The Direct Problemmentioning

confidence: 99%

Section: The Direct Problemmentioning

confidence: 99%

Section: The Direct Problemmentioning

confidence: 99%

See 3 more Smart Citations

On the Use of Inverse Methods to Parameter Estimation in Turbulent Pipe Flows of Drag Reducing Polymers

Mehrabadi

Sadeghy

Hakkaki-Fard

et al. 2008

J. Soc. Rheol., Jpn

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Numerical Simulation of Surfactant Drag Reduction

Wei

et al. 2012

Turbulent Drag Reduction by Surfactant Additives

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Magnetic resonance imaging study of complex flow of viscoelastic fluids

2011

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NMR imaging techniques have been applied to investigate complex fluid dynamics in pipes and in annular flow conditions. In this application, aimed to simulate drilling and production operations, two lines have been set up to reproduce, at small laboratory scale, respectively, a pipe flow and an annular flow that are typical flow geometries in oilfield wells during drilling. NMR imaging measurements have been performed inside a horizontal‐bore magnet with a fluid flow assured in a velocity range of 10–100 cm s−1. The studies were dedicated to investigate the different flow regimes associated to circulating viscous polymer solutions applied in drilling mud formulations. Early transitions from laminar to turbulent regime were observed at very low Reynolds number (in a range between 300 and 500, to be compared with the theoretical transition value greater than 2100). © 2010 American Institute of Chemical Engineers AIChE J, 2011

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Turbulent pipe flow predictions with a low Reynolds number k–ε model for drag reducing fluids

Cited by 63 publications

References 37 publications

On the Use of Inverse Methods to Parameter Estimation in Turbulent Pipe Flows of Drag Reducing Polymers

On the Use of Inverse Methods to Parameter Estimation in Turbulent Pipe Flows of Drag Reducing Polymers

Numerical Simulation of Surfactant Drag Reduction

Magnetic resonance imaging study of complex flow of viscoelastic fluids

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