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Sensitivity of three-segment electrodiffusion probes to eddy shedding

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Abstract

The influence of eddy shedding on the instantaneous readings of a three-segment cylindrical electrodiffusion velocity probe was investigated in an immersed jet with a very low turbulence intensity, σ = 1.2%. The velocity fluctuations measured by the three-segment probe were smaller than 2.6%, and the maximum error in the flow angle estimation was 2∘. Vortices with the Strouhal frequency were detected by a simple electrodiffusion probe placed downstream of the three-segment probe, but no peaks with this frequency were found on the frequency spectra of the three-segment probe. From the probe response to a stepwise change of the polarization voltage the characteristic times of the transient process were estimated.

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Abbreviations

a :

parameter in Eq. (1) [A sb m-b]

A :

amplitude gain

b :

parameter in Eq. (1)

c :

parameter in Eq. (3) [A s−1/2]

d :

probe diameter [m]

f :

frequency [s−1]

f s :

recording frequency [s−1]

G :

power spectrum

I k :

relative current through k-th segment, Eq. (2)

i :

total current [A]

i k :

current through k-th segment [A]

N :

number of data samples

Re :

Reynolds number, \(Re = vd\rho /\mu \)

Sr :

Strouhal number, \(Sr = fd/v\)

t :

time [s]

t 0 :

characteristic transient time [s]

v :

jet velocity [m s-1]

v :

time mean value of velocity [m s-1]

v x, y :

velocity components measured by probe [m s-1]

var:

variance, var\(\left( x \right) = \sum\limits_{i = 1}^N {\left( {x_1 - x^ - } \right)^2 /N} \)

μ :

dynamic viscosity [Pa s]

ϱ :

density [kg m-3]

σ :

relative deviation, \(\sigma (x) = 100.(\sqrt {\operatorname{var} (x)/\bar x} \) [%]

Θ :

flow angle, see Fig. 1

Ω :

dimensionless frequency

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Authors and Affiliations

  1. Academy of Sciences of the Czech Republic, Institute of Chemical Process Fundamentals, 165 02, Praha 6, Czech Republic

    V. Sobolik & J. Tihon

  2. Department of Technical Chemistry B, University of Dortmund, D-44221, Dortmund, Germany

    J. Pauli & U. Onken

Authors
  1. V. Sobolik
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  2. J. Tihon
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  3. J. Pauli
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  4. U. Onken
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Additional information

For the financial support of this work we express our thanks to the DFG, Bonn. The assistance of Dr. Ondra Wein and Dr. Pavel Mitschka is greatly appreciated.

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Sobolik, V., Tihon, J., Pauli, J. et al. Sensitivity of three-segment electrodiffusion probes to eddy shedding. Experiments in Fluids 16, 368–374 (1994). https://doi.org/10.1007/BF00202060

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  • DOI: https://doi.org/10.1007/BF00202060

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