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Experiments in Fluids

, 60:61 | Cite as

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

  • Zeinab Rida
  • Sébastien Cazin
  • Fabrice Lamadie
  • Diane Dherbécourt
  • Sophie Charton
  • Eric ClimentEmail author
Research Article
  • 40 Downloads

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.

List of symbols

Variables

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 (–)

Abbreviations

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

Subscripts

c

Critical

i

Relative to the rotor

e

Relative to the stator

0

Relative to the origin value

rz

In the vertical visualization plane

Notes

Acknowledgements

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

References

  1. Andereck D, Liu SS, Swinney HL (1985) Flow regimes in a circular Couette system with independently rotating cylinders. J Fluid Mech 164:155–183CrossRefGoogle Scholar
  2. Bouche E, Cazin S, Roig V, Risso F (2013) Mixing in a swarm of bubbles rising in a confined cell measured by mean of PLIF with two different dyes. Exp Fluids 54(6):1552CrossRefGoogle Scholar
  3. Bruchhausen M, Guillard F, Lemoine F (2005) Instantaneous measurement of two-dimensional temperature distributions by means of two-color planar laser induced fluorescence (PLIF). Exp Fluids 38(1):123–131CrossRefGoogle Scholar
  4. Campero RJ, Vigil RD (1997) Axial dispersion during low Reynolds number Taylor–Couette flow: intra vortex mixing effect. Chem Eng J 52:3305–3310Google Scholar
  5. Coles D (1965) Transitions in circular Couette flow. J Fluid Mech 21:385–425CrossRefGoogle Scholar
  6. Davis MW, Weber EJ (1960) Liquid–liquid extraction between rotating concentric cylinders. Ind Eng Chem 52:929–934CrossRefGoogle Scholar
  7. Desmet G, Verelst H, Baron GV (1996a) Local and global dispersion effect in Couette–Taylor flow—I. Description and modeling of the dispersion effects. Chem Eng J 51:1287–1298CrossRefGoogle Scholar
  8. Desmet G, Verelst H, Baron GV (1996b) Local and global dispersion effect in Couette–Taylor flow—II. Quantitative measurements and discussion of the reactor performance. Chem Eng J 51(8):1299–1309CrossRefGoogle Scholar
  9. Dherbécourt D, Charton S, Lamadie F, Cazin S, Climent E (2016) Experimental study of enhanced mixing induced by particles in Taylor–Couette flows. Chem Eng Res Des 108:109–117CrossRefGoogle Scholar
  10. Dussol D, Druault P, Mallat B, Delacroix S, Germain G (2016) Automatic dynamic mask extraction for PIV images containing an unsteady interface, bubbles, and a moving structure. Comptes Rendus Mécanique 344:464–478CrossRefGoogle Scholar
  11. Dusting J, Balabani S (2009) Mixing in Taylor–Couette reactor in the non wavy flow regime. Chem Eng Sci 64:3103–3111CrossRefGoogle Scholar
  12. Dutcher C, Muller SJ (2009) Spatio-temporal mode dynamics and higher order transitions in high aspect ratio newtonian Taylor–Couette flows. J Fluid Mech 641:85–113CrossRefGoogle Scholar
  13. Esser A, Grossmann R (1996) Analytic expression for Taylor–Couette stability boundary. Phys Fluids 8:1814–1819CrossRefGoogle Scholar
  14. Kataoka K, Takigawa T (1981) Intermixing over cell boundary between Taylor vortices. AIChE J 27:504–508CrossRefGoogle Scholar
  15. Kataoka K, Hongo T, Fugatawa M (1975) Ideal plug-flow properties of Taylor-vortex flow. J Chem Eng Jpn 8:472–476CrossRefGoogle Scholar
  16. Kataoka K, Doi H, Komai T (1977) Heat and mass transfer in Taylor-vortex flow with constant axial flow rate. Int J Heat Mass Transf 57:472–476Google Scholar
  17. Kittler J, Illingworth J (1988) A survey of the hough transform. Comput Vis Graph Image Process 44:87–116CrossRefGoogle Scholar
  18. Lanoë JY (2002) Performances d’une colonne d’extraction liquide-liquide miniature basée sur un écoulement de Taylor–Couette. In: ATALANTE conference, Scientific report, CEA, pp 244–251Google Scholar
  19. Lindken R, Merzkirch W (2002) A novel PIV technique for measurements in multiphase flows and its application to two-phase bubbly flows. Exp Fluids 33(6):814–825CrossRefGoogle Scholar
  20. Majji S, Banerjee M, Morris J (2018) Inertial flow transitions of a suspension in Taylor–Couette geometry. J Fluid Mech 835:936–969CrossRefGoogle Scholar
  21. Metzger B, Rahli O, Yin X (2013) Heat transfer across sheared suspensions: role of the shear-induced diffusion. J Fluid Mech 724:527–552CrossRefGoogle Scholar
  22. Nemri M, Climent E, Charton S, Lanoe JY, Ode D (2013) Experimental and numerical investigation on mixing and axial dispersion in Taylor–Couette flow patterns. Chem Eng Res Des 91:2346–2354CrossRefGoogle Scholar
  23. Nemri M, Cazin S, Charton S, Climent E (2014) Experimental investigation of mixing and axial dispersion in Taylor–Couette flow patterns. Exp Fluids 55:1769CrossRefGoogle Scholar
  24. Nemri M, Charton S, Climent E (2016) Mixing and axial dispersion in Taylor–Couette flows: the effect of the flow regime. Chem Eng Sci 139:109–124CrossRefGoogle Scholar
  25. Ottino JM (1989) The kinematics of mixing: stretching, chaos and transport. The Press Syndicate of the University of Cambridge, CambridgezbMATHGoogle Scholar
  26. Rudman M (1998) Mixing and particle dispersion in the wavy vortex regime of Taylor–Couette flow. AIChE J 44(5):1015–1026CrossRefGoogle Scholar
  27. Souzy M, Lhuissier H, Villermaux E, Metzger B (2017) Stretching and mixing in sheared particulate suspensions. J Fluid Mech 812:611–635MathSciNetCrossRefGoogle Scholar
  28. Tam WY, Swinney HL (1987) Mass transport in turbulent Taylor–Couette flow. Phys Rev A 36:1374–1381CrossRefGoogle Scholar
  29. Wilkinson N, Dutcher C (2018) Axial mixing and vortex stability to in situ radial injection in Taylor–Couette laminar and turbulent flows. J Fluid Mech 854:324–347CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Zeinab Rida
    • 1
  • Sébastien Cazin
    • 1
  • Fabrice Lamadie
    • 2
  • Diane Dherbécourt
    • 2
  • Sophie Charton
    • 2
  • Eric Climent
    • 1
    Email author
  1. 1.Institut de Mécanique des Fluides de Toulouse (IMFT)Université de Toulouse, CNRSToulouseFrance
  2. 2.CEA, DEN, MAR, DMRC, SA2IBagnols-sur-Cèze CedexFrance

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