Abstract
A two dimensional convergent-divergent nozzle with a rectangular cross section is modelled under ambient conditions experienced by a supersonic jet engine at cruising altitude. Instability due to shock wave formation at the divergent section of the nozzle and Mach shocks downstream of the jet plume region is investigated. The nozzle:pressure ratio significantly affects the location of shock formation along the wall downstream of the nozzle. The numerical study is carried out to understand the influence of the nozzle geometry and increase of nozzle:pressure ratio on flow properties downstream of the nozzle and the external jet plume region. Computation is carried for nozzle geometry of~$1.5$ and~$1.66$ with a divergent angle of~$2.801^\circ$ and~$3.89^\circ$ respectively. The shear stress transport model is used. References X. L. Tong and E. Luke. Turbulence Models and Heat Transfer in Nozzle Flows. AIAA 8900-356 Journal 11/2004, Vol 42, No 11, Technical Notes pages 2391--2393. doi:10.2514/1.8900 http://www.lmfa.ec-lyon.fr/ISAIF/Data/Invited_lectures/IL142/IL142.pdf. 8th ISAIF, Lyon, France, July 2007 Q. Xiao, H. M. Tsai, D. Papamoschou and A. Johnson. Experimental and Numerical study of Jet Mixing from a Shock-Containing Nozzle. AIAA Journal of Propulsion and Power , Vol 25, No 3, 688--696, 2009. doi:10.2514/1.37022 Q. Xiao, H. M. Tsai and D. Papamoschou. Numerical Investigation of Supersonic Nozzle Flow Seperation. AIAA Journal, Vol 45, No 3, 532--541, 2007. doi:10.2514/1.20073 Q. Xiao, H. M. Tsai and D. Papamoschou. Numerical study of Jet Plume Instabilty from an Overexpanded Nozzle. 45th Aerospace science Meeting and Exhibit, AIAA 2007--1319 Journal, Reno, Nevada. http://supersonic.eng.uci.edu/download/AIAA-2007-1319.pdf N. Menon, B. W. Skews. Rectangular underexpanded gas effects: effect of pressure ratio, aspect ratio and Mach number. Shock Waves 1, Volume 2, 26th International Symposium on Shock Waves. doi:10.1007/978-3-540-85181-3_32 A. A. Khan, T. R. Shembharkar. Viscous Flow analisys in a Convergent-Divergent Nozzle. Proceedings for International Conference on Aerospace Science and Technology, 26--28 June 2008, IN-CAST 2008-004, Bangalore, India. http://nal-ir.nal.res.in/4982/01/INCAST-004.pdf
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