Skip to main content

Quantitative Measurements of Three-Dimensional Density Fields Using the Background Oriented Schlieren Technique

  • Conference paper
Imaging Measurement Methods for Flow Analysis

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 106))

Abstract

Developments of the background oriented schlieren technique (BOS) towards a three-dimensional measurement technique for 3D density fields are presented. The projections of the density are tomographically reconstructed using filtered back-projection. Theoretical investigations show that the sensitivity of the BOS method depends on the geometric setup, the resolution of the camera, the focal length of the lens and the evaluation algorithm whereas the resolution of the method is described by its transfer function. Applications of the method at an under-expanded free jet of air and to the wake of wind tunnel cascade showed good results - qualitatively as well as quantitatively.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Augenstein, E., Leopold, F., Richard, H., Raffel, M.: Schlieren Techniques in comparison: The background oriented schlieren method versus visualization with holographic filters. In: 4th international symposium on particle image velocimetry, Göttingen, Germany (2001)

    Google Scholar 

  2. Blinkov, G.N., Fomin, N.A., Soloukhin, M.N., Vitkin, D.E., Yadrevskaya, N.L.: Specle tomography of a gas flame. J. Exp. Fluids 8, 72 (1989)

    Article  Google Scholar 

  3. Faris, G., Byer, R.: Three-dimensional beam-deflection optical tomography of a supersonic jet. Appl. Optics 27(24), 5202–5212 (1988)

    Article  Google Scholar 

  4. Formin, N.A.: Speckle photography for fluid mechanics, pp. 195–197. Springer, Germany (1997)

    Google Scholar 

  5. Goldhahn, E., Seume, J.: The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three-dimensional density field. J. Exp. Fluids 43, 241–249 (2007)

    Article  Google Scholar 

  6. Kak, A.C., Slaney, M.: Principles of computerized tomographic imaging. IEEE Press, New York (1988)

    MATH  Google Scholar 

  7. Klinge, F., Kirmse, T., Kompenhans, J.: Application of quantitative background orientend schlieren (BOS): investigation of a wing tip vortex in a transonic windtunnel. In: Proceedings of PSFVIP-4, F4097, Charmonix, France (1998)

    Google Scholar 

  8. Meier, G.E.A.: Hintergrundschlierenverfahren. Deutsche Patentanmeldung, DE19942856A1 (1999)

    Google Scholar 

  9. Meinhart, C.D., Wereley, S.T., Santiago, J.G.: A PIV algorithm for estimating time-averaged velocity fields. ASME J. Fluids Eng. 122(2), 285–289 (2000)

    Article  Google Scholar 

  10. Nafz, T., Ochs, M., Bauer, H.J.: Background Oriented Schlieren Möglichkeiten und Grenzen des optischen Verfahrens. In: 1st CEAS European Air and Space Conference, Berlin, Germany (2007)

    Google Scholar 

  11. Natterer, F.: The mathematics of computerized tomography. Wiley, USA (1986)

    Google Scholar 

  12. Oehlert, K., Seume, J.: Exploratory experiments on machined Riblets on compressor blades. In: European Fluids Engineering Summer Meeting, Miami U.S. (2006)

    Google Scholar 

  13. Richard, H., Raffel, M., Rein, M., Kompenhans, J., Meier, G.E.A.: Demonstration of the applicability of a background oriented schlieren (BOS) method. In: Proceedings 9th international symposium on applied laser techniques to Fluid Mechanics, Lisbon, Portugal (2000)

    Google Scholar 

  14. Rotteveel, S.R.: Optische Tomographie zur Untersuchung von Zylinderinnenströmungen. VDI Reihe 6 Nr. 278, p. 50. VDI Verlag, Düsseldorf (1992)

    Google Scholar 

  15. Venkatakrishnan, L.: Density measurements in an axis symmetric underexpandet jet using background oriented schlieren technique. In: 24 AIAA aerodynamic measurement technology and ground testing conference, paper AIAA 2004–2603, Portland, Oregon (2004)

    Google Scholar 

  16. Venkatakrishnan, L., Meier, G.E.A.: Density measurements using background oriented schlieren technique. J. Exp. Fluids 37, 237–247 (2004), doi:10.1007/soo348-004-0807-1

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Goldhahn, E., Alhaj, O., Herbst, F., Seume, J. (2009). Quantitative Measurements of Three-Dimensional Density Fields Using the Background Oriented Schlieren Technique. In: Nitsche, W., Dobriloff, C. (eds) Imaging Measurement Methods for Flow Analysis. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01106-1_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01106-1_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01105-4

  • Online ISBN: 978-3-642-01106-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics