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Mirror particle-tracking-velocimetry in a strip-coded light-sheet: a new method to determine the wall-shear-stress field

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Abstract

In this paper we present a new technique to measure the wall-shear-stress named mirror PTV (MPTV). The basic principle is the use of a reflective coated surface to record the flow in the very near wall region in such way, that the original particle and its mirror image are detected. The distance between the original particle image and its corresponding mirror image is used to calculate the wall-normal distance of the particle. With the information of particle motion between successive illuminations it is possible to determine the wall-shear-stress with high temporal and spatial resolution from the velocity gradient at the wall to a first order approximation, i.e. assuming a linear velocity profile. To validate the technique, the wall-shear-stress-distribution in a wall-bounded jet is measured and compared with the theoretical solution of Glauert (1956). The results agree well with the theoretical solution.

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References

  • Brücker Ch, Spatz J, Schröder W (2005) Feasibility of wall shear stress imaging using micro structured surfaces with flexible micropillars. Exp Fluids 39:464–474

    Article  Google Scholar 

  • Brücker Ch, Bauer D, Chaves H (2007) Dynamic response of micro-pillar sensors measuring fluctuating wall shear-stress. Exp Fluid 42:737–749

    Article  Google Scholar 

  • Glauert MB (1956) The wall jet. J Fluid Mech 1:625–643

    Article  MathSciNet  Google Scholar 

  • Hanratty TJ, Campbell JA (1983) Fluid mechanics measurements. In: Goldstein RJ (ed) Measurement of wall shear stress, chap. 11. Hemisphere, New York

  • Kähler CJ, Scholz U, Ortmanns J (2006) Wall-shear-stress and near-wall turbulence measurements up to single pixel resolution by means of long-distance micro-PIV. Exp Fluids 41(2):327–341

    Article  Google Scholar 

  • Kutateladze SS, Khabakhpasheva EM, Orlov, VV, Perepelitsa BV, Mikhailova (1979) Experimental investigation of the structure of near-wall turbulence and viscous sublayer. In: Durst F, Launder B, Schmidt F, Whitelaw J (eds) Selected papers from the 1st international symposium on turbulent shear flows. The Pennsylvania State University, USA, 18–20 April 1977. Springer, Berlin

  • Lancien P, Lajeunesse É, Métivier F (2007) Near-wall velocity measurements by particle-shadow tracking. Exp Fluids 42:843–846

    Article  Google Scholar 

  • Mitchell JE, Hanratty TJ (1966) A study of turbulence at a wall using an electrochemical wall shear-stress meter. J Fluid Mech 26:199–221

    Article  Google Scholar 

  • Roth M (2003) Kalibration und Einsatz von Heißfilmarrays im Flugversuch. Diss Technische Universität Darmstadt, Shaker Verlag

  • Sobolik et al (1990) Three-segment electrodiffusion probes for measuring velocity fields close to a wall. Exp Fluids 9:43–48

  • Weißhaar E, Kueveler G, Bianda M (2003) Schnelle und genaue Methode zur Schwerpunktfindung in Messreihen. Photonik 4-2003

  • Willert CE, Gharib M (1992) Three-dimensional particle imaging with a single camera. Exp Fluids 12:353–358

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank Dipl.-Ing. Daniel Bauer, Dipl.-Ing. Armin Keißner and David Hess.

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Correspondence to Ch. Brücker.

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Kunze, S., Chaves, H. & Brücker, C. Mirror particle-tracking-velocimetry in a strip-coded light-sheet: a new method to determine the wall-shear-stress field. Exp Fluids 45, 573–581 (2008). https://doi.org/10.1007/s00348-008-0538-9

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  • DOI: https://doi.org/10.1007/s00348-008-0538-9

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