Effects of Divergence Angle on Moveable Nozzle Performance in Thrust Vector Control System

علوم کاربردی و محاسباتی در مکانیک

Article 1, Volume 26, Issue 1 - Serial Number 11, March 2015, Pages 1-15   

Document Type: Original Article

DOI: 10.22067/fum-mech.v26i1.23297

Authors

Sahand Golrang; roohollah rafee^*

دانشگاه سمنان

Abstract

In this paper, by numerical simulation of gas flow, effects of divergence angles on the amplification factor, side force and thrust vector magnitude of a moveable nozzle with supersonic split line have been investigated. The study is conducted for constant exit to throat area ratio and the location of the split line is also constant. The finite volume method with second order upwind scheme for spatial discretization and AUSM method for flux splitting have been used in numerical solution of the equations. It was observed that for two different deviation angles, the results of RNG k-ε turbulence model are in good agreement with experimental data. Results also show that by increasing the divergence angle of the nozzle, the amplification factor, side force and thrust vector magnitude will decrease.

Keywords

Amplification factor; Oblique shock; Thrust vector control; Moveable nozzle

References

1. Campbell, C.E., Farley, J.M., "Performance of Several Conical Convergent Divergent Rocket Type Exhaust Nozzle", Lewis Research Center, NASA-TM-X-39, Ohio, (1960).

2. Jessen, F.C, Peters, M.T, "Comparison between Swiveling Nozzles with Split Lines Upstream and Downstream of the Throat", Rocket Propulsion Establishment, Technical Memorandum No.269, Virginia, (1963).

3. Thiokol Chemical Corporation, "TVC System Study Program", NASA Lewis Research Center, NASA CR-72727, Utah, (1970).

4. Ciucci, A., Laccarino, G. and Amato, M., "Numerical Investigation of 3D Two Phase Turbulent Flow in Solid Rocket Motors", 34th AIAA Joint Propulsion Conference and Exhibit, July (1998).

5. Ikaza, D., "Thrust Vectoring Nozzle for Modern Military Aircraft", 22nd Congress of International Council of the Aeronautical Sciences, Harrogate, May (2000).

6. Hui-man, M., Si-ai, F. and Han-ping, C., "Numerical Study of Unsteady Flow in Thrust Vectoring Nozzle", International Journal of Turbo and Jet Engines, Vol. 22, pp. 31-40, (2005).

7. Lee, S.N. and Baek, S.W., "Thrust Vector Control by Flexible Nozzle and Secondary Fluid Injection", ICCES, Vol. 10, No. 4, pp. 81-90, (2009).

8. Pardhasaradhi, N., Kumar, V.R. and Rao, Y.V., "Flow Analysis of the Rocket Nozzle Using Computational Fluid Dynamic", International Journal of Engineering Research and Applications, Vol. 2, pp. 1226-1235, (2012).

9. Balakrishna, B., Indana, S. and Reddy, R.P., "Investigation of Supersonic Flow through Conical Nozzle with Various Angles of Divergence", International Journal of Mechanical Engineering,

Vol. 2, pp. 9-16, (2013).

10. Strome, R.K., "Test Firing of Supersonic Split-Line Nozzle", Air Force Rocket Propulsion Laboratory, Technical Report AFRPL-TR-69-203, California, (1969).

11. Orszag, S.A., Yakhot, V., Flannery, W.S., Boysan, F., Choudhury, D., Maruzewski, J. and Patel B., "Renormalization Group Modeling and Turbulence Simulations", In International Conference on Near-Wall Turbulent Flows, Tempe, March (1993).

12. Kader B., "Temperature and Concentration Profiles in Fully Turbulent Boundary Layers", Int. J. Heat Mass Transfer, Vol. 24, pp. 1541–1544, (1981).

13. Smagorinsky, J., "General Circulation Experiments with the Primitive Equations. I. The Basic Experiment", Monthly Weather Review, Vol. 91, pp. 99–164, (1963).

14. Barth, T.J. and Jespersen, D., "The Design and Application of Upwind Schemes on Unstructured Meshes", AIAA 27th Aerospace Sciences Meeting, Reno, Nevada, January (1989).

15. Liou, M.S., "A Sequel to AUSM: AUSM+", Journal of Computational Physics, Vol. 129, pp.

364–382, (1996).

16. Ellison, J.R., "Evaluation of Titan III AFT Closure Insulation", Air Force Rocket Propulsion Laboratory, Technical Report AFRPL-TR-70-89, California, (1970).

17. Hill, P. and Peterson, C., "Mechanics and Thermodynamics of Propulsion", Addison-Wesley,

New York, pp. 521-523, (1992).