Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 25
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Afroosheh, M. Vakilimoghaddam, F. and Paraschivoiu, M. 2016. Boundary layer effects on the critical nozzle of hydrogen sonic jet. International Journal of Hydrogen Energy,


    Bourgin, E. Alves, M.M. Yang, C. Fachini, F.F. and Bauwens, L. 2016. Effects of Lewis numbers and kinetics on spontaneous ignition of hydrogen jets. Proceedings of the Combustion Institute,


    Miller, Warrick Medwell, Paul Kim, Min Kwan and Doolan, Con J. 2016. 54th AIAA Aerospace Sciences Meeting.

    Zaghi, Stefano Di Mascio, Andrea and Favini, Bernardo 2016. Application of WENO-Positivity-Preserving Schemes to Highly Under-Expanded Jets. Journal of Scientific Computing,


    Franquet, Erwin Perrier, Vincent Gibout, Stéphane and Bruel, Pascal 2015. Free underexpanded jets in a quiescent medium: A review. Progress in Aerospace Sciences, Vol. 77, p. 25.


    Mironov, V.N. Penyazkov, O.G. and Ignatenko, D.G. 2015. Self-ignition and explosion of a 13-MPa pressurized unsteady hydrogen jet under atmospheric conditions. International Journal of Hydrogen Energy, Vol. 40, Issue. 16, p. 5749.


    Rogers, Thomas Petersen, Phred Koopmans, Lucien Lappas, Petros and Boretti, Alberto 2015. Structural characteristics of hydrogen and compressed natural gas fuel jets. International Journal of Hydrogen Energy, Vol. 40, Issue. 3, p. 1584.


    Zhang, Huanhao Chen, Zhihua Jiang, Xiaohai and Huang, Zhengui 2015. The starting flow structures and evolution of a supersonic planar jet. Computers & Fluids, Vol. 114, p. 98.


    Shishehgaran, Nasim and Paraschivoiu, Marius 2014. CFD based simulation of hydrogen release through elliptical orifices. International Journal of Hydrogen Energy, Vol. 39, Issue. 35, p. 20350.


    Chitsaz, Iman Saidi, Mohammad Hassan Mozafari, Ali Asghar and Hajialimohammadi, Alireza 2013. Experimental and numerical investigation on the jet characteristics of spark ignition direct injection gaseous injector. Applied Energy, Vol. 105, p. 8.


    Maxwell, B.M. Tawagi, P. and Radulescu, M.I. 2013. The role of instabilities on ignition of unsteady hydrogen jets flowing into an oxidizer. International Journal of Hydrogen Energy, Vol. 38, Issue. 6, p. 2908.


    Petitpas, G. and Aceves, S.M. 2013. Modeling of sudden hydrogen expansion from cryogenic pressure vessel failure. International Journal of Hydrogen Energy, Vol. 38, Issue. 19, p. 8190.


    Khaksarfard, Reza and Paraschivoiu, Marius 2012. Numerical simulation of high pressure hydrogen release through an expanding opening. International Journal of Hydrogen Energy, Vol. 37, Issue. 10, p. 8734.


    Chitsaz, Iman Saidi, Mohammad Hassan and Mozafari, Ali Asghar 2011. Semi Analytical Solution to Transient Start of Weakly Underexpanded Turbulent Jet. Journal of Fluids Engineering, Vol. 133, Issue. 9, p. 091204.


    Maxwell, B.M. and Radulescu, M.I. 2011. Ignition limits of rapidly expanding diffusion layers: Application to unsteady hydrogen jets. Combustion and Flame, Vol. 158, Issue. 10, p. 1946.


    Hadjadj, Abdellah and Ben-Dor, Gabi 2010. Editorial: Underexpanded and Overexpanded Supersonic Jets. International Journal of Aerospace Innovations, Vol. 2, Issue. 4, p. i.


    Khaksarfard, R. Kameshki, M. R. and Paraschivoiu, M. 2010. Numerical simulation of high pressure release and dispersion of hydrogen into air with real gas model. Shock Waves, Vol. 20, Issue. 3, p. 205.


    Orescanin, Mara Prisco, David and Austin, Joanna 2010. 40th Fluid Dynamics Conference and Exhibit.

    Orescanin, M. M. and Austin, J. M. 2010. Exhaust of Underexpanded Jets from Finite Reservoirs. Journal of Propulsion and Power, Vol. 26, Issue. 4, p. 744.


    Orescanin, M. M. Austin, J. M. and Kieffer, S. W. 2010. Unsteady high-pressure flow experiments with applications to explosive volcanic eruptions. Journal of Geophysical Research, Vol. 115, Issue. B6,


    ×
  • Journal of Fluid Mechanics, Volume 578
  • May 2007, pp. 331-369

The transient start of supersonic jets

  • MATEI I. RADULESCU (a1) and CHUNG K. LAW (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112007004715
  • Published online: 10 May 2007
Abstract

This study investigates the initial transient hydrodynamic evolution of highly under-expanded slit and round jets. A closed-form analytic similarity solution is derived for the temporal evolution of temperature, pressure and density at the jet head for vanishing diffusive fluxes, generalizing a previous model of Chekmarev using Chernyi's boundary-layer method for hypersonic flows. Two-dimensional numerical simulations were also performed to investigate the flow field during the initial stages over distances of ~ 1000 orifice radii. The parameters used in the simulations correspond to the release of pressurized hydrogen gas into ambient air, with pressure ratios varying between approximately 100 and 1000. The simulations confirm the similarity laws derived theoretically and indicate that the head of the jet is laminar at early stages, while complex acoustic instabilities are established at the sides of the jet, involving shock interactions within the vortex rings, in good agreement with previous experimental findings. Very good agreement is found between the present model, the numerical simulations and previous experimental results obtained for both slit and round jets during the transient establishment of the jet. Criteria for Rayleigh–Taylor instability of the decelerating density gradients at the jet head are also derived, as well as the formulation of a model addressing the ignition of unsteady expanding diffusive layers formed during the sudden release of reactive gases.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

C. A. Eckett , J. J. Quirk & J. E. Shepherd 2000 The role of unsteadiness in direct initiation of gaseous detonations. J. Fluid Mech. 421, 147183.

B. W. Skews 1967 Shape of a diffracting shock wave. J. Fluid Mech. 29, 297304.

G. J. Sharpe 2001 Transverse waves in numerical simulations of cellular detonations. J. Fluid Mech. 447, 3151.

N. G. Korobeishchikov , A. E. Zarvin & V. Zh. Madirbaev 2004 Hydrodynamics of pulsed supersonic underexpanded jets: spatiotemporal characteristics. Tech. Phys. 49, 973981.

J. D. Buckmaster 1964 An investigation of cylindrical starting flows. AIAA J. 2, 16491650.

H. O. Amann 1969 Experimental study of the starting process in a reflection nozzle. Phys. Fluids 12 Supp. I, I150I153.

S. A. E. G. Falle 1991 Self-similar jets. Mon. Not. R. Astron. Soc. 250, 581596.

G. Taylor 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. R. Soc. Lond. A 201, 192196.

C. E. Smith 1966 The starting process in a hypersonic nozzle. J. Fluid Mech. 24, 625640.

D. W. Boyer 1960 An experimental study of the explosion generated by a pressurized sphere. J Fluid Mech. 9, 401429.

H. L. Brode 1959 Blast wave from a spherical charge. Phys. Fluids 2, 217229.

M. P. Friedman 1961 A simplified analysis of spherical or cylindrical blast waves. J. Fluid Mech. 11, 115.

B. D. Kay , T. D. Raymond & J. K. Rice 1986 Time-of-flight characterization of pulsed supersonic helium free-jet expansions. Rev. Sci. Instrum. 57, 22662273.

G. G. Chernyi 1961 Introduction to Hypersonic Flow. Academic.

S. A. E. G. Falle & S. S. Komissarov 1996 An upwind scheme for relativistic hydrodynamics with a general equation of state. Mon. Not. R. Astron. Soc. 278, 586602.

V. V. Golub 1994 Development of shock wave and vortex structures in unsteady jets. Shock Waves 3, 279285.

I. R. Hurle & A. Hertzberg 1965 Electronic population inversions by fluid-mechanical techniques. Phys. Fluids 8, 16011607.

R. Ishii , H. Fujimoto , N. Hatta & Y. Umeda 1999 Experimental and numerical analysis of circular pulse jets. J. Fluid Mech. 392, 129153.

E. A. Lundstrom & A. K. Oppenheim 1969 On the influence of non-steadiness on the thickness of the detonation wave. Proc. R. Soc. Lond. A 310, 463478.

L. I. Sedov 1959 Similarity and Dimensional Methods in Mechanics. Academic.

F. A. Williams 1985 Combustion Theory. Perseus Books.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax