Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-22T06:21:17.387Z Has data issue: false hasContentIssue false

Numerical modelling of mixing in underexpanded jets from castellated nozzles

Published online by Cambridge University Press:  04 July 2016

A. J. Saddington
Affiliation:
Aeromechanical Systems Group, Department of Aerospace, Power and Sensors, Cranfield University, RMCS, ShrivenhamSwindon, UK
K. Knowles
Affiliation:
Aeromechanical Systems Group, Department of Aerospace, Power and Sensors, Cranfield University, RMCS, ShrivenhamSwindon, UK
R. Y. T. Wong
Affiliation:
Aeromechanical Systems Group, Department of Aerospace, Power and Sensors, Cranfield University, RMCS, ShrivenhamSwindon, UK

Abstract

A computational fluid dynamics (CFD) model of three different axisymmetric convergent nozzle designs was created. Two of the nozzles had trailing-edge modifications (TEMs), which consisted of four regularly-spaced tooth-gap castellation pairs. One of the castellated nozzles had a divergent gap profile (regular castellated) and the other had a convergent gap profile (convergent-chamfered castellated). The remaining plain nozzle had no castellations.

Calculated CFD results were examined at a nozzle pressure ratio (NPR) of 6·5 in the near field of the regular castellated and convergent-chamfered castellated nozzles. Jet fluid was seen to be ejected radially from the jet core through the gaps between the castellations at the nozzle exit plane. Contra-rotating streamwise vortices were seen to develop at the interface between the gap and castellation. These were of the sense that acts to pump jet fluid out in the plane of the gap and entrain ambient fluid in the plane of the tooth. Peak increases of approximately 45% in non-dimensional mass flow rate over the plain nozzle were seen.

The ejections from the four-tooth regular-castellated nozzles extended far enough radially that they became detached from the main jet core. The contra-rotating vortices moved closer together with downstream distance reinforcing the pumping action between them. The jet ejections from the convergent-chamfered castellated nozzles did not extend far enough radially to detach from the main core (at the NPR tested) nor did the contra-rotating vortices move significantly closer together. Peak increases of approximately 45% and 25% (for the regular-castellated and convergent-chamfered castellated nozzles respectively) in non-dimensional mass flow rate over the plain nozzle were seen.

The strength of the contra-rotating vortices had dropped by two orders of magnitude at five nozzle diameters downstream from the exit plane. This suggested that the extent of fluid ejection may be more important than the initial strength of the vortices (although stronger vortices may help to eject fluid further out radially). Thus, configurations of nozzle geometry which cause the resulting streamwise vortices to interact favourably in ejecting fluid, would be desirable.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2002 

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. Rogers, C.B. and Parekh, D.E. Mixing enhancement by and noise characteristics of streamwise vortices in an air jet, AIAA J, March 1994, 32, (3), pp 464471.Google Scholar
2. Samimy, M., Zaman, K.B.M.Q. and Reeder, M.F. Effect of tabs on the flow and noise field of an axisymmetric jet, AIAA J, April 1993, 31, (4), pp 609619.Google Scholar
3. Samimy, M., Kim, J.H. and Clancy, P. Supersonic jet noise reduction and mixing enhancement through nozzle trailing edge modifications, 1997, 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, 6-9 January 1997, Paper No 97-0146.Google Scholar
4. Samimy, M., Kim, J.H. and Clancy, P. Mixing enhancement in supersonic jets via trailing edge modifications, 1997 4th AIAA Shear Flow Control Conference, Snowmass, CO, 29 June-2 July 1997, Paper No 97-1877.Google Scholar
5. Pannu, S.S. and Johannesen, N.H. The structure of jets from notched nozzles, J Fluid Mechanics, 1976, 74, (3), pp 515528.Google Scholar
6. Miller, P. Some experiments with high pressure free air jets, 1988, Technical Report BAe-KAD-N-GEN-3356, BAe.Google Scholar
7. Knowles, K. and Wong, R.Y.T. Passive control of entrainment in supersonic jets, RAeS Aerodynamics Research Conference, London, 17-18 April 2000, pp 9.1-9.14.Google Scholar
8. Fluent 5 Users Guide, July 1998, 1, Chap. 6, Fluent, Centerra Resource Park, 10 Cavendish Court, Lebanon, NH 03766, USA, pp 1112.Google Scholar
9. Shih, T.H., Liou, W.W., Shabbir, A. and Zhu, J. A new k-ε eddyviscosity model for high Reynolds number turbulent flows — Model Development and Validation, Computers and Fluids, 1995, 24, (3), pp 227238.Google Scholar
10. Kim, S.E., Choudhury, D. and Patel, B. Computations of complex turbulent flows using the commercial code FLUENT, 1997 Proceedings of the ICASE/LaRC/AFOSR Symposium on Modelling Complex Turbulent Flows, Hampton, Va.Google Scholar
11. Kim, J.H. and Samimy, M. On mixing enhancement via nozzle trailing edge modifications in high-speed jets, AIAA J, May 2000, 38, (5), pp 935937, technical notes.Google Scholar
12. Arnette, S.A., Samimy, M. and Elliott, G.S. On streamwise vortices in high reynolds number supersonic axisymmetric jets, Physics of Fluids A, January 1993, 5, (1), pp 187202.Google Scholar
13. Zapryagaev, V.I. and Solotchin, A.V. Spatial structure of the flow in the initial section of a supersonic under-expanded jet, UDK 533.6.011 23-28, Academy of Sciences USSR (Siberian Section), Institute of Theoretical and Applied Mechanics, 1988, (in Russian).Google Scholar
14. Kim, J.H. and Samimy, M. Mixing enhancement via nozzle trailing edge modifications in a high-speed rectangular jet, Physics of Fluids, September 1999, 11, (9), pp 27312742.Google Scholar
15. Hu, H., Saqar, T., Kobayashi, T. and Taniguchi, N. Mixing process in a lobed jet flow, AIAA J, July 2002, 40, (7), pp 13391345.Google Scholar