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Research Papers: Flows in Complex Systems

Drag Reducing Flows by Polymer Solutions in Annular Spaces

[+] Author and Article Information
Michell Luiz Costalonga

LAMEFT-PPGEM,
Department of Mechanical Engineering,
Universidade Federal do Espírito Santo,
Vitória, Espírito Santo 29075-910, Brazil
e-mail: mlcostalonga@gmail.com

Bruno Venturini Loureiro

Professor
LAMEFT-PPGEM,
Department of Mechanical Engineering,
Universidade Federal do Espírito Santo,
Vitória, Espírito Santo 29075-910, Brazil
e-mail: bruno.loureiro@ufes.br

Edson J. Soares

Professor
LABREO-PPGEM,
Department of Mechanical Engineering,
Universidade Federal do Espírito Santo,
Vitória, Espírito Santo 29075-910, Brazil
e-mail: edson.soares@ufes.br

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 25, 2017; final manuscript received October 18, 2017; published online December 26, 2017. Assoc. Editor: Sergio Pirozzoli.

J. Fluids Eng 140(5), 051101 (Dec 26, 2017) (8 pages) Paper No: FE-17-1300; doi: 10.1115/1.4038531 History: Received May 25, 2017; Revised October 18, 2017

We analyze the use of water solutions of Xanthan Gum (XG) for drag reduction (DR) in annular spaces. We provide a direct quantitative comparison between the DR in an annulus and that in straight tubes. We can fairly compare the data from the two geometries by using the general definition of the Reynolds number, which is independent of the geometry. With such a definition, the product of the friction factor by Re is a constant in laminar flows. Moreover, the friction factor for a turbulent flow of Newtonian fluids in an annulus fits Colebrook's correlation. Our main results show that the DR is more pronounced in annular pipes than tubes. We believe this is due to the relative increase of the buffer zone in an annular geometry.

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Figures

Grahic Jump Location
Fig. 1

Shape function for annular space as a function of the ratio of radius

Grahic Jump Location
Fig. 2

Scheme of the experimental apparatus

Grahic Jump Location
Fig. 3

Shear viscosity of the XG as a function of the shear rate for a range of concentrations

Grahic Jump Location
Fig. 4

Friction factor as a function of the Reynolds number in Pradtl–von Karman coordinates. In the top figure, the Reynolds number is defined with Eq. (7), while in the bottom figure Re is defined using the hydraulic diameter.

Grahic Jump Location
Fig. 5

DR as a function of the dimensionless time t*: the time for total dilution

Grahic Jump Location
Fig. 6

Friction factor for XG solutions as a function of the Reynolds number in a tube

Grahic Jump Location
Fig. 7

Friction factor for PEO solutions as a function of the Reynolds number in a tube

Grahic Jump Location
Fig. 8

Friction factor as a function of the Reynolds number for the aspect ration a = 0.23

Grahic Jump Location
Fig. 9

Friction factor as a function of the Reynolds number for the aspect ration a = 0.35

Grahic Jump Location
Fig. 10

Friction factor as a function of the Reynolds number for the aspect ration a = 0.57

Grahic Jump Location
Fig. 11

The maximum DR as a function of concentration for the range of aspect ration a = Ri/R0

Grahic Jump Location
Fig. 12

The asymptotic DR as a function of concentration for the range of aspect ration a = Ri/R0

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