Summary
The transport of particles is analysed for two different types of supersonic flow fields. The vicinity of a shock front and a flow field similar to a solid body rotation as an approximation of vortex centers were investigated. The influence of particle size and density are theoretically investigated by an analysis of Basset-Boussinesq-Oseen’s equation which is the governing equation describing particle motion in a fluid flow. Results show that even small particles need a distance of approximately 10 mm downstream of a shock to adjust to the ambient fluid velocity. Velocity measurements with Particle-Image Velocimetry confirm the theoretical results. A theoretical investigation of a vortical flow field shows a promising low error of particle motion versus fluid flow. However the examination of the long time ejection shows an accurate motion only for small and light particles. Therefore measurements were taken at the vortical flow over a delta wing. A comparison with numerical results shows that even areas of high vorticity were accurately resolved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F.F. Abraham. Functional dependence of drag coefficient of a sphere on Reynolds number. Phys. Fluids, 13(8):2194–2195, 1970.
S. Goldstein. The forces on a solid body moving through viscous fluid. Proc. Roy. Soc., London, 123:216–235, 1929.
A. Henze, E.M. Houtmann, M. Jacobs, and V.N. Vetlutsky. Comparison between experimental and numerical heat flux data for supersonic flow around ELAC 1. Z. Flugwiss. Weltraumforsch., 20:61–70, 1996.
N. Lang. PIV measurements in sub-and supersonic flow over the delta wing configuration ELAC. In 8. Int. Symp. on Flow Vis., Sorrento, Italy, Paper No. 205, Sept. 1998.
N. Lang. Reconstruction of 3-D steady incompressible flow field out of 2-D PIV measurements in wind tunnels. In 9. Int. Symp. on Appl. Laser Techn. to Fluid Mech, Lisbon, Portugal, pages 19.4.1-19.4.8, July 1998.
Z.-C. Liu, C.C. Landreth, R.J. Adrian, and T.J. Hanratty. High resolution measurement of turbulent structure in a channel with Particle Image Velocimetry. Exp. in Fluids, 10:301–312, 1991.
M. R. Maxey and J.J. Riley. Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids, 26(4):883–889, 1983.
A. Melling. Tracer particles and seeding for Particle Image Velocimetry. Meas. Sci. Technol., 8:1406–1416, 1997.
W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery. Numerical recipes in FORTRAN. Cambridge Univ. Press, 1992.
L. Schiller and H. Schmiedel. Widerstandsmessungen an Kugel und Scheibe bei kleinen Reynolds-schen Zahlen. Zeüschr. für Flugtechnik und Motorluftschiffahrt, 21:497–501, 1928.
P.J. Thomas and K.-A. Bütefisch. An investigation of the influence of the size distribution of seeding particles on LDA velocity data in the vicinity of a large velocity gradient. Phys. Fluids A, 5(11):2807–2814, 1993.
W.G. Vincenti and C.H. Kruger Jr. Physical Gas Dynamics. Krieger Publishing Company, 1965.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Lang, N. (1999). Investigation of the flow tracking capabilities of tracer particles for the application of PIV to supersonic flow fields. In: Nitsche, W., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics II. Notes on Numerical Fluid Mechanics (NNFM), vol 72. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10901-3_35
Download citation
DOI: https://doi.org/10.1007/978-3-663-10901-3_35
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-10903-7
Online ISBN: 978-3-663-10901-3
eBook Packages: Springer Book Archive