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Experiments in Fluids

, Volume 41, Issue 3, pp 513–522 | Cite as

Specific power input and local micromixing times in turbulent Taylor–Couette flow

  • Anna Racina
  • Matthias KindEmail author
Research Article

Abstract

In the present work, the distribution of the local dissipation rate of turbulent kinetic energy in Taylor–Couette flow was studied with the help of the particle image velocimetry (PIV). The experimental values of dissipation rate are strongly affected by spatial resolution of PIV measurements. Therefore, a reference value of the average specific power input is needed. Such a value was achieved from an independent torque measurement. Using these values it was possible to quantify the true local values of the dissipation rate. The distribution of mixing times in the gap could thus be calculated and was found to become more homogeneous with increasing turbulence intensity.

Keywords

Particle Image Velocimetry Dissipation Rate Particle Image Velocimetry Measurement Energy Dissipation Rate Outer Cylinder 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

d  =  Ro  −  Ri

gap width (m)

E(κ)

kinetic energy (Jm/kg)

G

dimensionless torque

H

cylinder length (m)

P

power input (W)

Re

rotational Reynolds number

Ri, Ro

inner, outer radius (m)

T

torque (J)

t

mixing time (s)

u

velocity (m/s)

V

volume (m3)

Δx

spatial resolution (m)

Greek symbols

ɛ

energy dissipation (W/kg)

η =  Ri/Ro

radius ratio

λ ∼ 1/κ

length scale (m)

Λ

size of the largest turbulent eddies (m)

κ

wave number (m−1)

ν

viscosity (m2/s)

ρ

fluid density (kg/m3)

ω

angular speed (s−1)

Subscripts, superscripts

K

Kolmogorov scale

fluctuation

spatial (volume) average

<>

time averaged local value

r

radial coordinate

z

axial coordinate

θ

tangential coordinate

Notes

Acknowledgments

This work was carried out in the frames of the Priority Program 1141 “Analysis, modelling and calculation of mixing processes with and without chemical reaction” financed by the Deutsche Forschungsgemeinschaft (DFG).

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institut für Thermische VerfahrenstechnikUniversität Karlsruhe (TH)KarlsruheGermany

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