Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T06:45:28.812Z Has data issue: false hasContentIssue false

The Effects of Swirl on the Performance of Supercritical Convergent-Divergent Nozzles

Published online by Cambridge University Press:  07 June 2016

P.W. Carpenter*
Affiliation:
Department of Engineering Science, University of Exeter
Get access

Summary

The quasi-one-dimensional theory due to Carpenter and Johannesen is applied to supercritical swirling flows in convergent-divergent nozzles. Only flows with uniformly constant stagnation pressure and entropy are considered. Values of exit impulse function and area ratio are given for various types of swirling flow with a range of back-pressure ratios. Thrust coefficients are calculated using these values and specific thrust coefficients plotted against maximum swirl velocity for various cases. In some cases the specific thrust for swirling nozzle flows very slightly exceeds the no-swirl value. The effects of nozzle wall curvature and flight speed on swirling nozzle flows are discussed. The contribution of post-exit thrust to the total thrust is estimated for swirling flow. Finally, the implications are considered of using swirl at the cruise conditions of a typical SST.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Guderley, K.G., Tabak, D., Breiter, M.C. and Bhutani, O.P. Continuous and discontinuous solutions for optimum thrust nozzles of given length. Journal of Optimization Theory and Application, Vol. 12, p 588, 1973.CrossRefGoogle Scholar
2 Naumova, I.N. and Shmyglevskii, Yu D. Augmentation of nozzle thrust with swirling flow (in Russian). Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza, No. 1, p 34, 1967.Google Scholar
3 Carpenter, P.W. and Johannesen, N.H. An extension of one-dimensional theory to inviscid swirling flow through choked nozzles. Aeronautical Quarterly, Vol. 26, p 71, 1975.CrossRefGoogle Scholar
4 Carpenter, P.W. A general one-dimensional theory of compressible inviscid swirling flows in nozzles. Aeronautical Quarterly, Vol. 27, p 201, 1976.CrossRefGoogle Scholar
5 Bussi, G. Evoluzione di flussi vorticosi assialsimmetrici in condotti. Instituto di Macchine e Motori per Aeromobili, Torini, Pub. No. 153, 1973.Google Scholar
6 Mager, A. Approximate solution of isentropic swirling flow through a nozzle. American Rocket Society Journal, Vol. 31, p 1140, 1961.Google Scholar
7 Gorskii, V.B. Transonic swirling flow of gas through a nozzle (in Russian). Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza, No. 2, p 75, 1977.Google Scholar
8 Hall, I.M. Transonic flow in two-dimensional and axially symmetric nozzles. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 15, p 487, 1962.CrossRefGoogle Scholar
9 Gostintsev, Yu A. The output characteristics of a nozzle issuing spiralling gas flow (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 4, p 153, 1969.Google Scholar
10 Gostintsev, Yu A., Zaitsev, V.M. and Novikov, S.S. The thrust of a nozzle with a swirling gas flow (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 5, p 145, 1975.Google Scholar
11 Afanasenkov, A.N., Gostintsev, Yu A. and Uspenskii, O.A. A quasi-one-dimensional nozzle theory for spiral gas flow (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 5, p 186, 1977.Google Scholar
12 Gostintsev, Yu A. and Uspenskii, O.A. Towards the theory of vortical swirling flow of an ideal gas in a Laval nozzle (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 2, p 126, 1978.Google Scholar
13 Rychkov, A.D. Calculations of the swirling outflow of an ideal gas in a Laval nozzle (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 5, p 72, 1971.Google Scholar
14 Slavianov, N.N. Theoretical investigation of swirling flow for an ideal gas through a Laval nozzle (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 6, p 85, 1973.Google Scholar
15 Pandolfi, M. Flusso assialsimmetrico con o senza vortice in ugelli. Instituto di Macchine e Motori per Aeromobile, Torino, Pub. No. 163, 1974.Google Scholar
16 Pandolfi, M. Transonic swirling flow in axisymmetric nozzles. Meccanica, Vol. 11, p 157, 1976.CrossRefGoogle Scholar
17 Tillyaeva, N.I. On the profiling of the supersonic part of an axisymmetric nozzle for nonuniform and swirling motions (in Russian). Izv Akad Nauk SSSR, Mekh Zhidk i Gaza, No. 3, p 123, 1975.Google Scholar
18 Norton, D.J., Farquhar, B.W. and Hoffman, J.D. An analytical and experimental investigation of swirling flow in nozzles. AIAA Journal, Vol. 7, p 1992, 1969.CrossRefGoogle Scholar
19 Batson, J.L. and Sforzini, R.H. Swirling flow through a nozzle. Journal of Spacecraft and Rockets, Vol. 7, p 159, 1970.CrossRefGoogle Scholar
20 Sforzini, R.H. and Essing, J.E. Swirling flow through multiple nozzles. Journal of Spacecraft and Rockets, Vol. 7, p 1366, 1970.CrossRefGoogle Scholar
21 Gillespie, T.D. and Shearer, J.L. The control of thrust and flow rate in choked nozzles by vortex generation. Fluidics Quarterly, Vol. 4, p 50, 1972.Google Scholar
22 Whitfield, O.J. Novel schemes for jet noise control. PhD Thesis, Engineering Department, Cambridge University, 1975.Google Scholar
23 Bussi, G. Analisi numerica di flussi vorticosi in ugelli. Instituto di Macchine e Motori per Aeromobili, Torino, Pub. No. 166, 1974.Google Scholar
24 Mair, W.A. et al Definitions of the thrust of a jet engine and of the internal drag of a ducted body. J. Royal Aeronautical Society, Vol. 59, p 517, 1955.Google Scholar
25 Carpenter, P.W. Supercritical swirling flows in convergent nozzles. AIAA Journal, Vol. 19, April 1981.CrossRefGoogle Scholar