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Experimental investigation of mixing efficiency in particle-laden Taylor–Couette flows

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Abstract

This paper reports on original experimental data of mixing in two-phase Taylor–Couette flows. Neutrally buoyant particles with increasing volume concentration enhance significantly mixing of a passive tracer injected within the gap between two concentric cylinders. Mixing efficiency is measured by planar laser-induced fluorescence coupled to particle image velocimetry to detect the Taylor vortices. To achieve reliable experimental data, index matching of both phases is used together with a second PLIF channel. From this second PLIF measurements, dynamic masks of the particle positions in the laser sheet are determined and used to calculate accurately the segregation index of the tracer concentration. Experimental techniques have been thoroughly validated through calibration and robustness tests. Three particle sizes were considered, in two different flow regimes to emphasize their specific roles on the mixing dynamics.

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Abbreviations

A :

Area of pixels with value 1 (–)

C :

Concentration (–)

\({\overline{C}}\) :

Mean concentration (–)

e :

Gap width (m)

H :

Height (m)

I :

Segregation index (u.a.)

m :

Azimuthal wavenumber (–)

n :

Refraction index (–)

\(R_{\mathrm{d}}\) :

Initial decay rate (–)

\(R_{\mathrm{e}}\) :

Stator radius (m)

\(R_{\mathrm{i}}\) :

Rotor radius (m)

\(Re_{\varOmega }\) :

Reynolds number (–)

r :

Radial coordinate (m)

Tc :

Rotational period (s)

\(t_{1/2}\), \(t_{90}\), \(t_{99}\) :

Mixing times (s)

\({\varGamma }= H/e\) :

Aspect ratio (–)

\({\varGamma }\) :

Mean shear rate (\({\text{s}}^{-1}\))

\(\lambda\) :

Axial wavelength (–)

\(\nu\) :

Kinematic viscosity (\({\text{m}}^2\,{\text{s}}^{-1}\))

\({\varOmega }\) :

Rotation rate (\(\text{rad}\,\text{s}^{-1}\))

\(\rho\) :

Density (\(\text{kg}\,\text{m}^{-3}\))

\(\sigma\) :

Standard deviation (–)

\(\sigma ^2\) :

Variance (–)

DMSO:

Dimethyl-sulfoxide

KSCN:

Thiocyanate of potassium

PIV:

Particle image velocimetry

PLIF:

Planar laser-induced fluorescence

sCMOS:

Camera (scientific complementary metal oxide semi-conductor)

SVF:

Spiral vortex flow

TVF:

Taylor vortex flow

WVF:

Wavy vortex flow

c:

Critical

i:

Relative to the rotor

e:

Relative to the stator

0:

Relative to the origin value

rz :

In the vertical visualization plane

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Acknowledgements

The authors would like to thank CEA for financial support and the technical support of Moise Marchal (IMFT) and Hervé Roussel (CEA).

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Authors and Affiliations

  1. Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse, France

    Zeinab Rida, Sébastien Cazin & Eric Climent

  2. CEA, DEN, MAR, DMRC, SA2I, 30207, Bagnols-sur-Cèze Cedex, France

    Fabrice Lamadie, Diane Dherbécourt & Sophie Charton

Authors
  1. Zeinab Rida
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  2. Sébastien Cazin
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  3. Fabrice Lamadie
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  4. Diane Dherbécourt
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  5. Sophie Charton
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  6. Eric Climent
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Correspondence to Eric Climent.

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Rida, Z., Cazin, S., Lamadie, F. et al. Experimental investigation of mixing efficiency in particle-laden Taylor–Couette flows. Exp Fluids 60, 61 (2019). https://doi.org/10.1007/s00348-019-2710-9

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