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Experimental and Computational Exploration of Underexpanded Jets from Conical, Bell and Double Parabolic Nozzles


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DOI: https://doi.org/10.15866/ireme.v12i1.12756

Abstract


The flow structure of the jet emanating from supersonic nozzle with different profiles at underexpanded condition were investigated systematically. Experiments were carried out on conical, bell and double parabolic nozzle at Nozzle Pressure Ratios (NPR) of 4.5, 5 and 5.5. For the sake of comparison, the divergent length was the same for all the nozzles. Numerical simulations were also conducted in a two dimensional computational domain taking a density-based solver with RANS equations and SST k-ω turbulence model. The experimental and numerical results matched well all NPRs. The shock cell length, potential core length and supersonic core length at different NPRs were determined from experiments and compared to numerical predictions. These values are also compared to the predicted values based on the equations previously developed by researchers. It is observed that there is not much influence in nozzle profiles in the shock cell length, potential core length and supersonic core length.
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Keywords


Bell Nozzle; Computational Fluid Dynamics; Conical Nozzle; Parabolic Nozzle; Potential Core Length; Shock Cell Length; Supersonic Core Length

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References


D. C. Pack, On the Formation of Shock-Waves in Supersonic Gas Jets, Quarterly Journal of Mechanics and Applied Mathematics, Vol. 1, pp. 1-17, 1948.
http://dx.doi.org/10.1093/qjmam/1.1.1

Eugene S. Love, Carl E. Grigsby, Louise P. Lee, Mildred J. Woodling, Experimental and Theoretical Studies of Axisymmetric Free Jets, NASA TR R-6, pp. 1-298, 1959.
http://dx.doi.org/10.21236/ad0408669

J. M. Seiner, T.D. Norum, Experiments of Shock Associated Noise on Supersonic Jets, AIAA Paper No. 79-1526, pp. 1-16, 1979.
http://dx.doi.org/10.2514/6.1979-1526

J.M. Seiner, S.M. Dash, D.E. Wolf, Analysis of Turbulent Underexpanded Jets, Part 2: Shock Noise Features Using SCIPVIS, AIAA Journal, Vol. 23, No.5, pp. 669-677, 1985.
http://dx.doi.org/10.2514/3.8969

H. Katanoda, Y. Miyazato, M. Masuda, Pitot Pressures of Correctly-Expanded and Underexpanded Jets from Axisymmetric Supersonic Nozzles, Shock waves, Vol. 10, Issue 2, pp. 95-101, 2000.
http://dx.doi.org/10.1007/s001930050182

J. Panda, R. G. Seasholtz, Measurement of Shock Structure and Shock-Vortex Interaction in Underexpanded Jets Using Rayleigh Scattering, Physics of Fluids, Vol. 11, No. 2, pp. 3761-3777, 1999.
http://dx.doi.org/10.1063/1.870247

Benoit Andre, Thomas Castelain, Christophe Bailly, Investigation of the Mixing Layer of Underexpanded Supersonic Jets by Particle Image Velocimetry, International Journal of Heat and Fluid Flow, Vol. 50, pp. 188-200, 2014.
http://dx.doi.org/10.1016/j.ijheatfluidflow.2014.08.004

Alexander C. Bayeh, Analysis of Mach Disks from an Underexpanded Nozzle Using Experimental and Computational Methods, AIAA 2009-217, pp. 1-7, 2009.
http://dx.doi.org/10.2514/6.2009-217

A. Powell, On the Mechanism of Choked Jet Noise, IOP Science, Proceedings of Physical Society, Section B, Vol. 66, No. 12, pp. 1039-1056, 1953.
http://dx.doi.org/10.1088/0370-1301/66/12/306

J. Panda, An Experimental Investigation of Screech Noise Generation, Journal of Fluid Mechanics, Vol. 378, pp. 71-96, 1999.
http://dx.doi.org/10.1017/s0022112098003383

Hiromasa Suzuki, Masaki Endo, Yoko Sakakibara, Structure and Oscillation of Underexpanded Jet, Open Journal of Fluid Mechanics, Vol. 3, pp. 85-91, 2013.
http://dx.doi.org/10.4236/ojfd.2013.32a014

J. Panda, Measurement of Shock Oscillation in Underexpanded Supersonic Jets, AIAA 95-2145, pp. 1-19, 1995.
http://dx.doi.org/10.2514/6.1995-2145

Tide P.S., Babu V., Improved Noise Predictions from Subsonic Jets at Mach 0.75 Using URANS Calculations, Progress in Computational Fluid Dynamics, Vol. 9, Issue 8, pp. 460-474, 2009.
http://dx.doi.org/10.1504/pcfd.2009.027764

Balabel A., Hegab A.M., Nasr M., Samy M. El-Behery, Assessment of Turbulence Modeling for Gas Flow in Two-Dimensional Convergent-Divergent Rocket Nozzle, Applied Mathematical Modelling, Vol. 35, pp. 3408-3422, 2011.
http://dx.doi.org/10.1016/j.apm.2011.01.013

Hunter C.A., Experimental, Theoretical and Computational Investigation of Separated Nozzle Flows, AIAA 98-3107, pp. 1-20, 1998.
http://dx.doi.org/10.2514/6.1998-3107

Salas M.D., The Numerical Calculation of Inviscid Plume Flow Fields, AIAA Paper 74-523, pp.1-8, 1974.
http://dx.doi.org/10.2514/6.1974-523

E. Venkatapathy, W. J. Feiereisen, 3-D Plume Flow Computations with an Upwind Solver, AIAA Paper 88-3158, 1988.
http://dx.doi.org/10.2514/6.1988-3158

Srisha M. V. Rao, Shingo Asno, Tsutomu Saito, Comparative Studies on Supersonic Free Jets from Nozzles of Complex Geometry, Applied Thermal Engineering, Vol. 99, pp. 599-612, 2016.
http://dx.doi.org/10.1016/j.applthermaleng.2016.01.104

Panda J., Velocity and Temperature Measurement in Supersonic Free Jets Using Spectrally Resolved Rayleigh Scattering, NASA /TM-2004-212391, pp. 1-19, 2004.
http://dx.doi.org/10.2514/6.1999-296

Pack D.C., A Note on Prandtl's Formula for the Wavelength of a Supersonic Gas Jet, Quarterly Journal of Mechanics and Applied Mathematics, Vol. 3, pp. 173-181, 1950.
http://dx.doi.org/10.1093/qjmam/3.2.173

Mehta R. C., Prasad J.K., Estimation of Shock Cell Structure of Axisymmtric Supersonic Free Jets, Indian Journal of Engineering and Materials Sciences, Vol. 3, pp. 141-147.
http://dx.doi.org/10.1080/10618569808961673

John W. Shirie, Jason G. Seubold, Length of the Supersonic Core in High-Speed Jets, AIAA, Vol. 5, No.11, pp.2062-2064, 1967.

Bajpai, A., Rathakrishnan, E., Corrugated Limiting Tab for Supersonic Jet Mixing, (2016) International Review of Aerospace Engineering (IREASE), 9 (6), pp. 180-194.
http://dx.doi.org/10.15866/irease.v9i6.10364

Defromont, T., Rathakrishnan, E., Supersonic Jet Control with Air-Tabs, (2016) International Review of Aerospace Engineering (IREASE), 9 (2), pp. 37-42.
http://dx.doi.org/10.15866/irease.v9i2.9237

Kumaravel, G., Jeyajothiraj, P., Rathakrishnan, E., Transonic Shock Wave Patterns Over an Airfoil in an Accelerated Flow, (2015) International Review of Aerospace Engineering (IREASE), 8 (2), pp. 56-70.
http://dx.doi.org/10.15866/irease.v8i2.6036

Mehta, R., Aerodynamic Design of Payload Fairing of Satellite Launch Vehicle, (2015) International Review of Aerospace Engineering (IREASE), 8 (5), pp. 167-173.
http://dx.doi.org/10.15866/irease.v8i5.8000

Salim, W., Ahmed, S., Prediction of Turbulent Swirling Flow in a Combustor Model, (2016) International Review of Aerospace Engineering (IREASE), 9 (2), pp. 43-50.
http://dx.doi.org/10.15866/irease.v9i2.9562

Bekka, N., Bessaïh, R., Sellam, M., Numerical Study of Transonic Flows Using Various Turbulence Models, (2015) International Review of Aerospace Engineering (IREASE), 8 (6), pp. 216-224.
http://dx.doi.org/10.15866/irease.v8i6.8824


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