The interaction of a vortex ring and a coaxial supersonic jet

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Abstract

Previous experimental work by Baird has established that when a supersonic jet is first started it forms a vortex ring at the mouth of the jet pipe which subsequently travels downstream and carries with it a normal shock. This flowfield is here analysed on the basis of simplifying assumptions, in particular that when the vortex ring is sufficiently far from the mouth of the jet pipe the flow is steady in coordinates moving with the ring, and that time-dependent terms may be neglected. It is shown that the jet will be subjected to an adverse pressure gradient roughly where the shock forms (although the shock itself is excluded from the simplified mathematical model) and also that the vortex ring must grow in size at a slow rate. These results are in qualitative agreement with experiment.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference6 articles.

1. Baird J. P. 1987 Proc. R.Soc. Lond. A 409 59^-65.

2. Lamb H. 1932 Hydrodynamics. Cambridge University Press.

3. Liepmann H. W. & Roshko A. 1956 Elements of gas dynamics. New York: John Wiley.

4. The effect of compressibility on the speed of propagation of a vortex ring

5. Phan K. C. & Stollery J. L. 1983 In Proceedings of the 14th International Symposium on Shock Tubes and Waves Sydney August 1983 (ed. R. D. Archer & B. E. Milton) pp. 519-526. New South Wales University Press.

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