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Triangular tabs for supersonic jet mixing enhancement

Published online by Cambridge University Press:  27 January 2016

Arun Kumar P.*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, Kanpur, India
E. Rathakrishnan*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur, Kanpur, India

Abstract

The mixing promoting capability of right-angled triangular tab with sharp and truncated vertex has been investigated by placing two identical tabs at the exit of a Mach 2 axi-symmetric nozzle. The mixing promoting efficiency of these tabs have been quantified in the presence of adverse and marginally favourable pressure gradients at the nozzle exit. It was found that, at all levels of expansion of the present study though the core length reduction caused by both the tabs are appreciable, but the mixing caused by the truncated tab is superior. The mixing promoting efficiency of the truncated tab is found to increase with increase of nozzle pressure ratio (that is, decrease of adverse pressure gradient). For all the nozzle pressure ratios of the present study, the core length reduction caused by the truncated vertex tab is more than that of sharp vertex tab. As high as 84% reduction in core length is achieved with truncated vertex right-angled triangular tabs at moderately overexpanded level, corresponding to expansion level pe/pa = 0·90. The corresponding core length reduction for right-angled triangular tabs with sharp vertex and rectangular tabs are 65% and 31%, respectively. The present results clearly show that the mixing promoting capability of the triangular tab is best than that of rectangular tabs at identical blockage and flow conditions.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2014 

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References

1. Gutmark, E.J., Schadow, K.C. and Yu, K.H. Mixing enhancement in supersonic free shear fows, Annual Review of Fluid Mechanics, 1995, 27, (1), pp 375417.Google Scholar
2. Gutmark, E.J. and Grinstein, F.F. Flow control with non-circular jets, Annual Review of Fluid Mechanics, 1999, 31, (1), pp 239272.Google Scholar
3. Seiner, J.M., Dash, S.M. and Kenzakowski, D.C. Historical survey on enhanced mixing in scramjet engines, J Propulsion and Power, 2001, 17, (6), pp 12731286.Google Scholar
4. Knowles, K. and Saddington, A.J. A review of jet mixing enhancement for aircraft propulsion applications, Proceedings of the IMechE, Part G: J Aerospace Engineering, 2006, 220, (2), pp 103127.Google Scholar
5. Ibrahim, M.K., Kunimura, R. and Nakamura, Y. Mixing enhancement of com- pressible jets by using unsteady microjets as actuators, AIAA J, 2002, 40, (4), pp 681688.Google Scholar
6. Arakeri, V.H., Krothapalli, A., Siddavaram., V., Alkislar, M.B. and Lourenco, L.M. On the use of microjets to suppress turbulence in a Mach 0·9 axisymmetric jet, J Fluid Mechanics, 2003, 490, pp 7598.Google Scholar
7. Thomas, C., Bra, J.-C. and Sunyach, M. Noise reduction of a Mach 0·7 - 0·9 jet by impinging microjets, Comptes Rendus Mcanique, 2006, 334, (2), pp 98104.Google Scholar
8. Thomas, C., Sunyach, M., Juv, D. and Bera, J-C. Jet-noise reduction by impinging microjets: An acoustic investigation testing microjet parameters, AIAA J, 2008, 46, (5), pp 10811087.Google Scholar
9. Davis, M.R. Variable control of jet decay, AIAA J, May 1982, 20, (5), pp 606609.Google Scholar
10. Chauvet, N., Deck, S. and Jacquin, L. Numerical study of mixing enhancement in a supersonic round jet, AIAA J, 2007, 45, (7), pp 16751687.Google Scholar
11. Chauvet, N., Deck, S. and Jacquin, L. Shock patterns in a slightly underex- panded sonic jet controled by radial injections, Physics of Fluids, 2007, 19, (4).Google Scholar
12. Behrouzi, P., Feng, T. and McGuirk, J.J. Active fow control of jet mixing using steady and pulsed fuid tabs, Proc. IMechE, Part I: J. Systems and Control Engineering, 2008, 222, (5), pp 381391.Google Scholar
13. Yu., S.C.M., Lim, K.S. Chao, W. and Goh, X.P. Mixing enhancement in subsonic jet fow using the air-tab technique, AIAA J, 2008, 46, (11), pp 29662969.Google Scholar
14. Wan, C. and Yu, S.C.M. Investigation of air tabs effect in supersonic jets, J Propulsion and Power, 2011, 27, (5), pp 11571160.Google Scholar
15. Kamran, M.A. and McGuirk, J.J. Subsonic jet mixing via active control using steady and pulsed control jets, AIAA J, 2011, 49, (4), pp 712724.Google Scholar
16. Wan, C. and Yu, S.C.M. Numerical investigation of the air-tabs technique in jet fow, J Propulsion and Power, 2013, 19, (1), pp 4249.Google Scholar
17. Viets, H. Flip-fop jet nozzle, AIAA J, 1975, 13, (10), pp 13751379.Google Scholar
18. Tam, C.K.W. and Morris, P.J. Tone excited jets, Part V: A theoretical model and comparison with experiment, J Sound and Vibration, 1985, 102, (1), pp 119151.Google Scholar
19. Goldstein, M.E. and Leib, S.J. Nonlinear roll-up of externally excited free shear layers, 1988, J Fluid Mechanics, 191, pp 481515.Google Scholar
20. Panton, R.L. Effect of orifce geometry on Helmholtz resonator excitation by grazing fow, AIAA J, 1990, 28, (1), pp 6065.Google Scholar
21. Bogdanoff, D.W. Advanced injection and mixing techniques for scramjet combustors, J Propulsion and Power, 1994, 10, (2), pp 183190.Google Scholar
22. Chanaud, R.C. Effects of geometry on the resonance frequency of Helmholtz resonator, J Sound and Vibration, 1994, (178), 3, pp 337348.Google Scholar
23. Wiltze, J.M. and Glezer, A. Direct excitation of small-scale motions in free shear fows, Physics of Fluids, 1998, 10, (8), pp 20262036.Google Scholar
24. Pannu, S.S. and Johannesen, N.H. The structure of jets from notched nozzles, J Fluid Mechanics, 74, (3), pp 515528.Google Scholar
25. Norum, T.D. Screech suppression in supersonic jets, AIAA J, 1983, 21, (2), pp 235240.Google Scholar
26. Smith, D.J. and Hughes, T. The fow from notched nozzles in the presence of a free-stream, Aeronautical J, 1984, 88, pp 7785.Google Scholar
27. Wlezien, R.W. and Kibens, V. Infuence of nozzle asymmetry on supersonic jets, AIAA J, 1988, 26, (1), pp 2733.Google Scholar
28. Krothapalli, A., Mcdaniel, J. and Baganoff, D. Effect of slotting on the noise of an axisymmetric supersonic jet, AIAA J, 1990, 28, (12), pp 21362138.Google Scholar
29. Longmire, E.K., Eaton, J.K. and Elkins, C.J. Control of jet structure by crown-shaped nozzles, AIAA J, 1992, 30, (2), pp 505512.Google Scholar
30. Yu, K.H., Schadow, K.C., Kraeutle, K.J. and Gutmark, E.J. Supersonic fow mixing and combustion using ramp nozzles, J Propulsion and Power, 1995, 11, (6), pp 11471153.Google Scholar
31. Longmire, E.K. and Duong, L.H. Bifurcating jets generated with stepped and sawtooth nozzles, Physics of Fluids, 1996, 8, (4), pp 978992.Google Scholar
32. Verma, S.B. and Rathakrishnan, E. Mixing enhancement and noise attenuation in notched elliptic slot free jets, J Turbo and Jet Engines, 1998, 15, pp 725.Google Scholar
33. Verma, S.B. and Rathakrishnan, E. An experimental study on the noise characteristics of notched circular-slot jets, J Sound and Vibration, 1999, 226, pp 383396.Google Scholar
34. Verma Shashi Bhushan, V.S. and Rathakrishnan, E. Infuence of aspect-ratio on the mixing and acoustic characteristics of plain and modifed elliptic slot jets, Aerospace science and technology, 2003, 7, pp 451464.Google Scholar
35. Elangovan, S. and Rathakrishnan, E. Studies on high speed jets from nozzles with internal grooves. Aeronaut J, 2004, 108, pp 4350.Google Scholar
36. Jayant, V. and Rathakrishnan, E. Acoustic characteristics of supersonic jets from grooved nozzles. J Propulsion and Power, 2004, 20, (3), pp 520526.Google Scholar
37. Mrinal, K., Thakur, P.S. and Ethirajan, R. Studies on the effect of notches on circular sonic jet mixing, J Propulsion and Power, 2006, 22, (1), pp 211214.Google Scholar
38. Ishii, T., Oinuma, H., Nagai, K., Tanaka, N., oba, Y. and Oishi, T. Experimental study on a notched nozzle for jet noise reduction. ASME Paper GT2011-46244, 2011, pp 265276.Google Scholar
39. Arun Kumar, P., Verma, S.B. and Elangovan, S. Study of jets from rectangular nozzles with square grooves, Aeronaut J, 2011, 115, pp 187196.Google Scholar
40. Martin, J.E. and Meiberg, E. Numerical investigation of three-dimensionally evolving jets under helical perturbations, J Fluid Mechanics, 1992, 243, pp 457487.Google Scholar
41. Farokhi, S., Taghavi, R. and Rice, E.J. Effect of initial swirl distribution on the evolution of a turbulent jet, AIAA J, 1989, 27, (6), pp 700706.Google Scholar
42. Naughton, J.W. and Settles, G.S. Experiments on the mixing via streamwise vorticity, Part 1: Optical m, AIAA Paper 92-3459, July 1992.Google Scholar
43. Kraus, D.K. An experimental investigation of mixing enhancement in a simulated scramjet combustor by use of swirling jets, NASA TM-109246, 1993.Google Scholar
44. Naughton, J.W., Cattafesta, L.N. and Settles, G.S. An experimental study of compressible turbulent mixing enhancement in swirling jets, J Fluid Mechanics, 1997, 330, pp 271305.Google Scholar
45. Dutton, J.C. Swirling supersonic nozzle, J Propulsion and Power, 1987, 3, (4), pp 342349.Google Scholar
46. Jacobsen, L.S., Schetz, J.A., Gallimore, S.D. and Obrien, W.F., Mixing enhancement by jet swirl in a multiport injector array in supersonic fow, 3rd American Society of Mechanical Engineers/Japanese Society of Mechanical Engineers, Fluids Engineering Summer Meeting, Paper 99-7248, 1999.Google Scholar
47. Bryan, C., Gutmark, E.J. and Martens, S. Far-feld acoustic investigation into chevron nozzle mechanisms and trends, AIAA J, 2005, 43, (1), pp 8795.Google Scholar
48. Uzun Ali, U. and Hussaini, M.Y. Noise generation in the near-nozzle region of a chevron nozzle jet flow, 13th AIAA/CEAS Aeroacoustics Conference, AIAA Paper 3596 2007).Google Scholar
49. Callender, B., Gutmark, E. and Martens, S. Near-feld investigation of chevron nozzle mechanisms, AIAA J, 2008, 46, (1), pp 3645.Google Scholar
50. Schlinker, R.H., Simonich, J.C., Sharon, D.W., Reba, R.A., Colonius, T., Gudemendsson, K. and Ladeincla, F. Supersonic jet noise from round and chevron nozzles: Experimental studies, 30th AIAA Aeroacoustics Conference, AIAA Paper 3257 (2009).Google Scholar
51. Zaman, K.B.M.Q., Bridges, J.E and Huff, D.L. Evolution from ‘Tabs’ to ‘Chevron Technology’ a Review, Proceedings of the 13th Asian Congress of Fluid Mechanics, 17-21 December 2010, Dhaka, Bangladesh.Google Scholar
52. Rask, O., Kastner, J. and Gutmark, E. Understanding how chevrons modify noise in supersonic jet with fight effects, AIAA J, 2011, 49, (8), pp 15691576.Google Scholar
53. Munday, D., Heeb, N., Gutmark, E., Liu, J. and Kailasanath, K. Acoustic effect of chevrons on supersonic jets exiting conical convergent-civergent nozzles, AIAA J, 2012, 50, pp 23362350.Google Scholar
54. Bradbury, L.J.S. and Khadem, A.H. The distortion of a jet by tabs, J Fluid Mechanics, 1975, 70, (4), pp 801813.Google Scholar
55. Ahuja, K.K. and Brown, W.H. Shear flow control by mechanical tabs, AIAA Paper 89-0994, 1989.Google Scholar
56. Ahuja, K.K. Mixing enhancement and jet noise reduction through tabs plus ejectors, AIAA Paper 93-4347, 1993.Google Scholar
57. Samimy, M., Reeder, M. and Zaman, K. Supersonic jet mixing enhancement by vortex generations, AIAA Paper 91-2263, 1991.Google Scholar
58. Samimy, M., Zaman, K.B.M.Q. and Reeder, M.F. Effect of tabs on the fow and noise feld of an axisymmetric jet, AIAA J, 1993, 31, (4), pp 609619.Google Scholar
59. Zaman, K.B.M.Q., Reeder, M.F. and Samimy, M. Supersonic jet mixing enhancement by delta-tabs, AIAA Paper 92-3548, 1992.Google Scholar
60. Zaman, K.B.M.Q. Streamwise vorticity generation and mixing enhancement in free jets by delta-tabs, AIAA Paper 93-3253,1993.Google Scholar
61. Zaman, K.B.M.Q., Reeder, M.F. and Samimy, M. Control of an axisymmetric jet using vortex generators, Physics of Fluids, 1994, 6, pp 778793.Google Scholar
62. Reeder, M.F. and Zaman, K.B.M.Q. The impact of tab location relative to the nozzle exit on jet distortion, AIAA 94-3385, 1994.Google Scholar
63. Reeder, M.F and Zaman, K.B.M.Q. Impact of tab location relative to the nozzle exit on jet distortion, AIAA J, 1996, 34, (1), pp 197199.Google Scholar
64. Reeder, M.F. and samimy, M. The evolution of a jet with vortex generating rabs: Real-time visualization and quantitative measurements, J Fluid Mechanics, 1996, 311, pp 73118.Google Scholar
65. Bohl, D. and Foss, J.F. Characteristic of the velocity and streamwise vorticity fields in a developing tabbed jet, AIAA Paper 95-0102, 1995.Google Scholar
66. Bohl, D. and Foss, J.F. Enhancement of passive mixing tabs by the addition of secondary tabs, AIAA Paper 96-054, 1996.Google Scholar
67. Zaman, K.B.M.Q. Axis-switching and spreading of an asymmetric jet: The role of coherent structure dynamics, J Fluid Mechanics, 1996, 316, pp 127.Google Scholar
68. Steffen, c.J., Reddy, D.R. and zaman, K.B.M.Q. Numerical modeling of jet entrainment for nozzles ftted with delta tabs, AIAA Paper 97-0709, 1997.Google Scholar
69. Rathakrishnan, E. Experimental studies on the limiting tab, AIAA J, 2009, 47, (10), pp 24752485.Google Scholar
70. Takama, Y, Suzuki, K and Rathakrishnan, E. Visualization and size measurement of Vortex shed by fat and arc plates in a uniform flow, Int Review of Aerospace Engineering, 2010, 1, pp 5560.Google Scholar
71. Arun Kumar, P. and Rathakrishnan, E. Truncated triangular tabs for supersonic jet control, J Propulsion and Power, 2013, 29, (1), pp 5065.Google Scholar
72. Parviz, B. and McGuirk, J.J. Experimental studies of tab geometry effects on mixing enhancement of an axisymmetric jet, JSME international J. Series B, Fluids and Thermal Engineering, 1998, 41, (4), pp 908917.Google Scholar
73. Parviz, B. and McGuirk, J.J. Effect of tabs parameter on near feld jet plume develop- ment, J Propulsion and Power, 2006, 22, (3), pp 576585.Google Scholar
74. Mi, J. and Nathan, G.J. Effect of small vortex-generators on scalar mixing in the developing region of a turbulent jet, Int J Heat and Mass Transfer, 1999, 42, pp 39193926.Google Scholar
75. Zaman, K.B.M.Q. Spreading characteristics of compressible jets from nozzles of various geome- tries, J Fluid Mechanics, 1999, 383, pp 197228.Google Scholar
76. Zaman, K.B.M.Q. Jet spreading increase by passive control and associated performance penalty, AIAA Paper 99-3505, 1999.Google Scholar
77. Harper-Bourne, M. and Fisher, M.J. The noise from shock waves in supersonic jets, Noise mechanisms, 1974, 131, pp 111.Google Scholar
78. Shapiro, A.H. The dynamics and thermodynamics of compressible fuid fow, 1, The Ronald Press Company, 1953.Google Scholar
79. Ladenburg, R.W. (Ed). Physical measurements in gas dynamics and combustion: High speed aerodynamics and jet propulsion, Volume IX. Princeton University Press, 1954.Google Scholar
80. Tropea, C., Yarin, A.L. and Foss, J.L. (Eds). Springer handbook of experimental fuid mechanics, Springer, 2007.Google Scholar
81. Chue, S.H. Pressure probes for fluid measurement, Progress in Aerospace Sciences, 1975, 16, pp 147223.Google Scholar
82. Katanoda, H., Miyazato, Y., Masuda, M. and Matsuo, K. Pitot pressures of correctly expanded and underexpanded free jets from axisymmetric supersonic nozzles, ShockWaves, 2000, 10, pp 95101.Google Scholar
83. Zhang, , XiWen, , Pengfei, H.A.Q. and Zhaohui, Y.A.O. The measurement error analysis when a pitot probe is used in supersonic air fow, Science China Physics, Mechanics and Astronomy, 2011, 54, pp 690696.Google Scholar
84. Taylor, J.R. An Introduction to Error Analysis; The Study of Uncertainties in Physical Measurements, University Science Books, 1996.Google Scholar
85. Bevington, P.R. Data Reduction and Error Analysis for the Physical Sciences, McGraw-Hill Book Company, 1969.Google Scholar
86. Moffat, R.J. Contributions to the theory of single-sample uncertainty analysis, 1982, J Fluids Engineering, 104, pp 250258.Google Scholar
87. Moffat, R.J. Using uncertainty analysis in the planning of an experiment. J Fluids Engineering, 1985, 107, pp 173178.Google Scholar
88. Moffat, R.J. Describing the uncertainty in experiment results, Experimental Thermal and Fluid Sciences, 1988, 1, pp 317.Google Scholar
89. Arun Kumar, P. Triangular Tabs for Supersonic Jet Control, PhD Thesis, 2013, Indian Institute of Technology Kanpur, India.Google Scholar
90. Ashratov, E.A. Calculations of axisymmetric jet leaving a nozzle at jet pressure lower than pressure in medium, 1966, Fluid Dynamics (translated from Russian), 1, p 113.Google Scholar
91. Sternberg, J., Triple-shock-wave interactions, The Physics of Fluids, 1959, 2, pp 179206.Google Scholar
92. Chow, W.L. and Chang, I.S. Mach refection from overexpanded nozzle fows, AIAA J, 10, (9), 1972 pp 12611263.Google Scholar
93. Chow, W.L. and Chang, I.S. Mach refection associated with over-expanded nozzle free jet flows, AIAA J, 13, (6), pp 762766.Google Scholar
94. Li, H. and Ben-Dor, G. Mach refection wave confguration in two-dimensional supersonic jets of overexpanded nozzles, AIAA J, 36, (3), pp 488491.Google Scholar
95. Phalnikar, K.A. and Kumar, R. and Alvi, F.S., Experiments on free and impinging supersonic micro-jets, Experiments in Fluids, 2008, 44, pp 819830.Google Scholar
96. Anderson, A.R. and Johns, F.R. Nondimensional characteristics of free and defected supersonic jets exhausting into quiescent air, Technical report, U.S. Naval Air Development Centre, Johnsville, USA, Pa.NADC-ED-5401, ASTIA AD 36,625, 1954 Google Scholar
97. Abramovich, G.N. Theory of turbulent jets (Russian, Moscow, 1960, English translation by the US Air Force Systems Command, Foreign Tech. Div, Technical Documents Liaison Offce, MCL 3256, ASTIA AD 283, 858, 1962.Google Scholar
98. Snedeker, R.S. and Donaldson, C. duP, Experiments on free and impinging underexpanded jets from a convergent nozzle, Aeronautical Research Associates of Princeton, Inc, ARAP Kept. 63, DDC 461,622, 1964.Google Scholar
99. Munday, D., Gutmark, E., Liu, J. and Kailasanath, K. Flow structure and acoustics of supersonic jets from conical convergent-divergent nozzles, The Physics of Fluids, 2011, 23.Google Scholar
100. Rathakrishnan, E. Applied gas dynamics, John Wiley, NJ, USA, 2010.Google Scholar
101. Krothapalli, A., Hsia, Y., Baganoff, D. and Karamcheti, K. The role of screech tones in mixing of an underexpanded rectangular jet, J Sound and Vibration, 1986, 106, pp 119143.Google Scholar
102. Phanindra, B.C. and Rathakrishnan, E. Corrugated tabs for supersonic jet control, AIAA J, 2010, 48, (2), pp 453465.Google Scholar
103. Arun Kumar, P. and Rathakrishnan, E. Corrugated triangular tabs for supersonic jet control, Proceedings of the Institution of Mechanical Engineers, Part G: J Aerospace Engineering, 2014, 228, (6), pp 831845 Google Scholar
104. Arun Kumar, P. and Rathakrishnan, E. Corrugated truncated triangular tabs for supersonic jet control, J Fluids Engineering, 2013, 135, (9), 091104-11.Google Scholar
105. Clement, S. and Rathakrishnan, E. Characteristics of sonic jets with tabs, Shock Waves, 2006, 15, pp 219227.Google Scholar
106. Ibrahim, M.K. and Nakamura, Y. Effects of rotating tabs on flow and acoustic fields of supersonic jet, AIAA J, 2001, 39, pp 745748.Google Scholar
107. Hussain, A.K.M.F. and Husain, H.S. Controlled excitation of elliptic jets, Physics of Fluids, 1983, 26, pp 27632766.Google Scholar
108. Husain, H.S. and Hussain, A.K.M.F. Elliptic jets Part I: Characteristics of unexcited and excited jets, J Fluid Mechanics, 1989, 208, pp 257319.Google Scholar