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Density measurements for rectangular free jets using background-oriented schlieren

Published online by Cambridge University Press:  27 January 2016

T. J. Tipnis
Affiliation:
Department of Engineering Photonics, Cranfield University, Cranfield, UK
M. V. Finnis*
Affiliation:
Aeromechanical Systems Group, Cranfield University, Shrivenham, UK
K. Knowles
Affiliation:
Aeromechanical Systems Group, Cranfield University, Shrivenham, UK
D. Bray
Affiliation:
Aeromechanical Systems Group, Cranfield University, Shrivenham, UK

Abstract

An experimental study incorporating the use of the Background-Oriented Schlieren (BOS) technique was performed to measure the density field of a rectangular supersonic jet. This technique is easier to set up than conventional schlieren since the optical alignment involving the various mirrors, lenses and knife-edge is replaced by a background pattern and a single digital camera. The acquired images which contain information of density gradients in the flow are solved as a Poisson equation and further processed using deconvolution and tomographic algorithms to generate a 3D domain which contains information about the actual density. 2D slices can then be extracted to quantitatively visualise the density along any required planes. The results from supersonic axisymmetric jets are used for validation of the code; these show excellent agreement with pre-validated CFD data. The results for a rectangular supersonic jet are then obtained. These show good agreement with the CFD data, in terms of shock-cell spacing and overall structure of the jet. The technique has proved useful for investigating axis-switching, a phenomenon generally associated with non-axisymmetric jets.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2013 

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References

1. Settles, G.S. Schlieren and Shadowgraph Techniques, 1st ed, Springer-Verlag, 2001.Google Scholar
2. Meier, G.E.A. Computerized background-oriented schlieren, Experiments in Fluids, 2002, 33, (1), pp 181187.Google Scholar
3. Gladstone, J.H. and Dale, T.P. Researches on refraction, dispersion and sensitiveness of liquids, Philosophical Transactions of the Royal Society of London, 1863, 153, pp 317343.Google Scholar
4. Merzkirch, W. Flow Visualization, 2nd ed, Academic Press, 1987.Google Scholar
5. Hargather, M.J. and Settles, G.S. Natural-background-oriented Schlieren imaging, Experiments in Fluids, 2010, 48, (1), pp 5968.Google Scholar
6. Venkatakrishnan, L. Density measurement in an axisymmetric underexpanded jet using background-oriented Schlieren technique, AIAA J, 2005, 43, (7), pp 15741579.Google Scholar
7. Goldhahn, E. and Seume, J. The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three dimensional density feld, Experiments in Fluids, 2007, 43, (2–3), pp 241249.Google Scholar
8. Ramanah, D., Raghunath, S., Mee, D.J., Rösgen, T. and Jacobs, P.A. Background oriented schlieren for flow visualisation in hypersonic impulse facilities, Shock Waves, 2007, 17, (1–2), pp 6570.Google Scholar
9. Venkatakrishnan, L. and Suriyanarayanan, P. Density field of supersonic separated flow past an afterbody nozzle using tomographic reconstruction of BOS data, Experiments in Fluids, 2009, 47, (3), pp 463473.Google Scholar
10. Venkatakrishnan, L. and Meier, G.E.A. Density measurements using the background oriented Schlieren technique, Experiments in Fluids, 2004, 37, (2), pp 237247.Google Scholar
11. Raffel, M., Willert, C., Wereley, S. and Kompenhans, J. Particle Image Velocimetry – A Practical Guide, 2nd ed, Springer-Verlag, 2007.Google Scholar
12. Kak, A.C. and Slaney, M. Principles of Computerized Tomographic Imaging, New York, USA, IEEE Press, 1988.Google Scholar
13. Shepp, L.A. and Logan, B.F. The Fourier reconstruction of a head section, IEEE Transactions on Nuclear Science, 1974, 21, pp 2143.Google Scholar
14. Knowles, K. and Saddington, A.J. Modelling and experiments on underexpanded turbulent jet mixing, in Engineering Turbulence Modelling and Experiments 5, Elsevier, Oxford, UK, 2002, pp 789798.Google Scholar
15. Saddington, A.J., Lawson, N.J. and Knowles, K. An experimental and numerical investigation of under-expanded turbulent jets, Aeronaut J, 2004, 108, (1081), pp 145152.Google Scholar
16. Pack, D. A note on Prandtl’s formula for the wavelength of a supersonic gas jet, The Quarterly J Mechanics and Applied Mathematics, 1950, 3, (2), pp 173181.Google Scholar
17. Stratford, B.S. The calculation of the discharge coeffcient of profled choked nozzles and the optimum profile for absolute air fow measurement, J Royal Aero Soc, 1964, 68, pp 237245.Google Scholar
18. Grinstein, F. Entrainment, axis switching, and aspect-ratio effects in rectangular free jets, in 4th Shear Flow Control Conference, Snowmass Village, CO, USA, AIAA-1997-1875, 1997.Google Scholar