Abstract

Low-coherence self-referencing velocimetry optically measures the relative velocity between a point in a particle-laden fluid and a (potentially moving) reference surface. Low-coherence light scattered off the particles and off the reference surface is coupled into an interferometer with variable optical delay in one arm and an acousto-optical modulator in the second arm. The measurement location is set relative to the reference surface. Its location can be scanned along a line by adjusting the optical delay in the interferometer. The spatial resolution is typically tens of micrometers. Only one low-coherence light beam is required for each component of the velocity vector. Proof-of-principle measurements in Taylor–Couette flow are presented.

© 2007 Optical Society of America

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References

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  1. H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer-Verlag, 2000).
  2. C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
    [CrossRef]
  3. P. M. Ligrani and P. H. Bradshaw, Exp. Fluids 5, 407 (1987).
    [CrossRef]
  4. S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
    [CrossRef]
  5. H. J. Lin and M. Perlin, Exp. Fluids 25, 431 (1998).
    [CrossRef]
  6. C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
    [CrossRef]
  7. L. Büttner and J. Czarske, Meas. Sci. Technol. 12, 1891 (2001).
    [CrossRef]
  8. L. Büttner and J. Czarske, Meas. Sci. Technol. 14, 2111 (2003).
    [CrossRef]
  9. V. Gusmeroli and M. Martinelli, Opt. Lett. 16, 1358 (1991).
    [CrossRef] [PubMed]
  10. A. Kempe, S. Schlamp, T. Rösgen, and K. Haffner, Opt. Lett. 28, 1323 (2003).
    [CrossRef] [PubMed]
  11. A. Kempe, "Low coherence interferometry in turbachinery and flow velocimetry," Ph.D. dissertation (ETH Zurich, 2007).

2003 (2)

2001 (1)

L. Büttner and J. Czarske, Meas. Sci. Technol. 12, 1891 (2001).
[CrossRef]

2000 (3)

C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
[CrossRef]

C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
[CrossRef]

S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
[CrossRef]

1998 (1)

H. J. Lin and M. Perlin, Exp. Fluids 25, 431 (1998).
[CrossRef]

1991 (1)

1987 (1)

P. M. Ligrani and P. H. Bradshaw, Exp. Fluids 5, 407 (1987).
[CrossRef]

Alfredsson, P. H.

C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
[CrossRef]

Bakchinov, A. A.

C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
[CrossRef]

Bradshaw, P. H.

P. M. Ligrani and P. H. Bradshaw, Exp. Fluids 5, 407 (1987).
[CrossRef]

Brunner, S.

S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
[CrossRef]

Büttner, L.

L. Büttner and J. Czarske, Meas. Sci. Technol. 14, 2111 (2003).
[CrossRef]

L. Büttner and J. Czarske, Meas. Sci. Technol. 12, 1891 (2001).
[CrossRef]

Czarske, J.

L. Büttner and J. Czarske, Meas. Sci. Technol. 14, 2111 (2003).
[CrossRef]

L. Büttner and J. Czarske, Meas. Sci. Technol. 12, 1891 (2001).
[CrossRef]

Fottner, L.

S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
[CrossRef]

Gersten, K.

H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer-Verlag, 2000).

Gray, M. H. B.

C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
[CrossRef]

Gusmeroli, V.

Haffner, K.

Häggmark, C. P.

C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
[CrossRef]

Kempe, A.

A. Kempe, S. Schlamp, T. Rösgen, and K. Haffner, Opt. Lett. 28, 1323 (2003).
[CrossRef] [PubMed]

A. Kempe, "Low coherence interferometry in turbachinery and flow velocimetry," Ph.D. dissertation (ETH Zurich, 2007).

Ligrani, P. M.

P. M. Ligrani and P. H. Bradshaw, Exp. Fluids 5, 407 (1987).
[CrossRef]

Lin, H. J.

H. J. Lin and M. Perlin, Exp. Fluids 25, 431 (1998).
[CrossRef]

Martinelli, M.

Meinhart, C. D.

C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
[CrossRef]

Perlin, M.

H. J. Lin and M. Perlin, Exp. Fluids 25, 431 (1998).
[CrossRef]

Rösgen, T.

Schlamp, S.

Schlichting, H.

H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer-Verlag, 2000).

Wereley, S. T.

C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
[CrossRef]

Wolff, S.

S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
[CrossRef]

Exp. Fluids (3)

H. J. Lin and M. Perlin, Exp. Fluids 25, 431 (1998).
[CrossRef]

C. P. Häggmark, A. A. Bakchinov, and P. H. Alfredsson, Exp. Fluids 28, 236 (2000).
[CrossRef]

P. M. Ligrani and P. H. Bradshaw, Exp. Fluids 5, 407 (1987).
[CrossRef]

J. Turbomach. (1)

S. Wolff, S. Brunner, and L. Fottner, J. Turbomach. 122, 644 (2000).
[CrossRef]

Meas. Sci. Technol. (3)

C. D. Meinhart, S. T. Wereley, and M. H. B. Gray, Meas. Sci. Technol. 11, 809 (2000).
[CrossRef]

L. Büttner and J. Czarske, Meas. Sci. Technol. 12, 1891 (2001).
[CrossRef]

L. Büttner and J. Czarske, Meas. Sci. Technol. 14, 2111 (2003).
[CrossRef]

Opt. Lett. (2)

Other (2)

A. Kempe, "Low coherence interferometry in turbachinery and flow velocimetry," Ph.D. dissertation (ETH Zurich, 2007).

H. Schlichting and K. Gersten, Boundary-Layer Theory (Springer-Verlag, 2000).

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Figures (3)

Fig. 1
Fig. 1

Schematic of the optical components in the interferometer unit including the light source.

Fig. 2
Fig. 2

Scattering off particles and reflections from the reference surface from subsequent measurements a and b.

Fig. 3
Fig. 3

Measured velocity profiles in laminar Taylor–Couette flow at various rotation speeds. The Taylor number is Ta = Ω r i ( r o r i ) 3 2 η .

Equations (1)

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u = λ Δ F 4 sin ( α ) , v = λ Σ F 2 cos ( α ) .

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