“Computer Simulation of Turbulent Reactive Gas Dynamics”Authors: Bjørn H. HjertagerAffiliation: Christian Michelsen Institute (Bergen) Reference: 1984, Vol 5, No 4, pp. 211-236. |
|
Keywords: Gas explosion, fluid dynamics, combustion
Abstract: A simulation procedure capable of handling transient compressible flows involving combustion is presented. The method uses the velocity components and pressure as primary flow variables. The differential equations governing the flow are discretized by integration over control volumes. The integration is performed by application of up-wind differencing in a staggered grid system. The solution procedure is an extension of the SIMPLE-algorithm accounting for compressibility effects.
Turbulence is treated by solving the equations of kinetic energy of turbulence and of dissipation rate of kinetic energy of turbulence. The combustion model incorporates solution of balance equations for the mixture fraction and the mass fraction of fuel. The rate of combustion in the latter equation is modeled according to the 'eddy-dissipation model' of Magnussen and Hjertager (1976). A simple criterion is introduced to enable chemical kinetics to play a role in limiting the rate of combustion.
A validation calculation of the classical shock-tube problem is performed and good agreement between analytical solution and computed predictions is found.
Flame acceleration by repeated obstacles in methane-air and propane-air are also simulated, and comparisons with experimental data are encouraging.
PDF (3891 Kb)
DOI: 10.4173/mic.1984.4.3
DOI forward links to this article:
[1] Prankul Middha Olav R. Hansen, (2009), doi:10.1016/j.ijhydene.2009.02.004
[2] Paolo Canu Renato Rota Sergio Carrà Massimo Morbidelli, (1990), doi:10.1016/0010-2180(90)90051-R
[3] Sávio S.V. Vianna R. Stewart Cant, (2010), doi:10.1016/j.jlp.2009.08.002
[4] Filippo Gavelli Scott G. Davis Olav R. Hansen, (2011), doi:10.1016/j.jlp.2011.07.002
[5] Olav R. Hansen Peter Hinze Derek Engel Scott Davis, (2010), doi:10.1016/j.jlp.2010.07.005
[6] Prankul Middha Derek Engel Olav R. Hansen, (2011), doi:10.1016/j.ijhydene.2010.04.132
[7] A. Bleyer J. Taveau N. Djebaïli-Chaumeix C.E. Paillard A. Bentaïb, (2012), doi:10.1016/j.nucengdes.2012.01.010
[9] Steven R Hanna Olav R Hansen Seshu Dharmavaram, (2004), doi:10.1016/j.atmosenv.2004.05.041
[10] Scott G. Davis Derek Engel Filippo Gavelli Peter Hinze Olav R. Hansen, (2012), doi:10.1007/s10694-012-0305-6
[11] IVAR ØYVIND SAND KARL SJØEN JAN ROAR BAKKE, (1996), doi:10.1002/(SICI)1097-0363(19961115)23:9<953::AID-FLD466>3.0.CO;2-Y
[12] P.G. Holborn P. Battersby J.M. Ingram A.F. Averill P.F. Nolan, (2013), doi:10.1016/j.ijhydene.2012.12.134
[13] Kiho Moon Seok-Ryong Song Jorge Ballesio Gary Fitzgerald Gregory Knight, (2009), doi:10.1016/j.jlp.2008.11.008
[14] Steven R. Hanna Olav R. Hansen Mathieu Ichard David Strimaitis, (2009), doi:10.1016/j.atmosenv.2008.09.081
[15] Prankul Middha Olav R. Hansen, (2008), doi:10.1002/prs.10242
[16] Dal Jae Park Young Soon Lee, (2009), doi:10.1007/s11814-009-0054-5
[17] S. Dharmavaram S. R. Hanna O. R. Hansen, (2005), doi:10.1002/prs.10068
[18] E.Y. Sanchez J.E. Colman Lerner A. Porta P.M. Jacovkis, (2013), doi:10.1016/j.atmosenv.2012.09.037
References:
[1] BONI, A.A., CHAPMAN, M. and SCHNEYER, G.P. (1976). Computer simulation of combustion processes in a stratified charge engine, Acta Astronautica. 3,293-307, doi:10.1016/0094-5765(76)90053-9
[2] BURCAT, A., CROSSLEY, R.W. and SCHELLER, K. (1972). Shock tube investigation of ignition in ethane-oxygen-argon mixtures. Combustion and Flame, 18, 115-123.
[3] BUTLER, T.D. and O'ROURKE, P.J. (1976). A numerical method for two-dimensional reacting flows, 16th International Symposium on Combustion (Combustion Institute: Pittsburg) pp. 1503-1515.
[4] HARLOW, F.H. and AMSDEN, A.A. (1971). Fluid Dynamics, A Los Alamos Scientific Laboratory monograph, LA-4700.
[5] HJERTAGER, B.H. (1982a). Simulation of transient compressible turbulent reactive flows, Combustion Science and Technology, 27, 159-170. (1982b). Numerical simulation of turbulent flame and pressure development in gas explosions, Fuel-air Explosions, SM Study No. 16 (University of Waterloo Press, Ontario, Canada) pp. 407-426.
[6] HJERTAGER, B.H., FUHRE, K., PARKER, S.J. and BAKKE, J.R. (1984). Flame acceleration of propane-air in a large-scale obstructed tube, 9th International Colloquium on Dynamics of Explosions and Reactive Systems, Poitiers, France, 3-8 July, 1983. Prog. AIAA, 94, 504-522.
[7] HJERTAGER, B.H. and MAGNUSSEN, B.F. (1976). Computation of some three-dimensional laminar incompressible internal flows, Proceedings 1976, Heat Transfer and Fluid Mechanics Institute (Stanford University Press) pp. 436-451.
[8] KHALIL, E.E., SPALDING, D.B. and WHITELAW, J.H. (1975). The calculation of local flow properties in two-dimensional furnaces, Int. J. Heat Mass Transfer, 18, 775-791, doi:10.1016/0017-9310(75)90207-0
[9] LAUNDER, B.E. and SPALDING, D.B. (1974). The numerical computation of turbulent flows, Computer Methods in Applied Mechanics and Engineering, No. 3,269-289, doi:10.1016/0045-7825(74)90029-2
[10] MAGNUSSEN, B.F. (1981). On the structure of turbulence and a generalized eddy dissipation concept for chemical reaction in turbulent flow, Proc. 19th AIAA Aerospace Science Meeting, St. Louis, Missouri, January 12-15, 1981.
[11] MAGNUSSEN, B.F. and HJERTAGER, B.H. (1976). On mathematical modelling of turbulent combustion with special emphasis on soot formation and combustion, 16th International Symposium on Combustion, (Combustion Institute, Pittsburg), pp. 719-729.
[12] MOEN, I.O., LEE, J.H.S., HJERTAGER, B.H., FUHRE, K. and ECKHOFF, R.K. (1982). Pressure development due to turbulent flame propagation in large-scale methane-air explosions, Combustion and Flame, 47, 31-52, doi:10.1016/0010-2180(82)90087-6
[13] ORAN, E., YOUNG, T. and BORIS, J. (1978). Application of time-dependent numerical methods to the description of reactive shocks, 17th International Symposium on Combustion, (Combustion Institute: Pittsburg), pp. 43-53.
[14] PATANKAR, S.V. (1981). A calculation procedure for two-dimensional elliptic problems, Numerical Heat Transfer, 4, 409-426.
[15] PATANKAR, S.V. and SPALDING, D.B. (1972). A calculation procedure for heat, mass and moment transfer in three-dimensional parabolic flows, Int. Journal of Heat and Mass Transfer, 15, 1787-1806.
[16] RADHKRISHNAN, K., HEYWOOD, J.B. and TABACZYNSKI, R.J. (1981). Premixed turbulent flame blowoff velocity correlation based on coherent structures in turbulent flows, Combustion and Flame, 12, 19-23, doi:10.1016/0010-2180(81)90139-5
[17] SPALDING, D.B. (1971). Mixing and chemical reaction in steady confined turbulent flames, 13th International Symposium on Combustion (Combustion Institute: Pittsburg), pp. 649-657.
BibTeX:
@article{MIC-1984-4-3,
title={{Computer Simulation of Turbulent Reactive Gas Dynamics}},
author={Hjertager, Bj{\o}rn H.},
journal={Modeling, Identification and Control},
volume={5},
number={4},
pages={211--236},
year={1984},
doi={10.4173/mic.1984.4.3},
publisher={Norwegian Society of Automatic Control}
};
