The University of Queensland
Axiomatic cascade hypothesis and the 4/7 power law
This work introduces axiomatic cascade hypothesis in application to premixed flames and formulates a theory which defines effective Kolmogorov scales and results in the 4/7 power law. This law is in a very good agreement with the correlation of experimental data by Bradley, Lau and Lawes (Phil. Trans. R. Soc. Lond. A, 338, 359., 1992).
- A. Y. Klimenko, Examining the Cascade Hypothesis for Turbulent
Premixed Combustion , Combustion Science and Technology, 139:1, 15-40, 1998
- A. Y. Klimenko, Simple derivation of the 4/7 power law , unpublished (this note gives a very simple explanation of the law published in CST,139:1,15,1998).
- A. Y. Klimenko, The convergence of combustion models
and compliance with the Kolmogorov scaling of turbulence Phys. Fluids 33, 025112 (2021)
Discussion of the 4/7 power law for turbulent premixed combustion.
Theory of premixed flames using IDFE (Intrinsic Disturbed Flamelet Equations)
This technique is based on covariant differentiation and allows for relatively simple analysis of premixed flames disturbed by fluid flows. The unified treatment of
near equi-diffusion case and far from equi-diffusion case, reactions with unlimited number of steps, generalised jump conditions and unified stability theory have been
obtained in the following publications using IDFE. We proved that, if the reaction zone is thin, an arbitrary complex reaction mechanism is still characterised by the effective Zeldovich number and a single flow/flame interaction parameter -- the flame stretch. If the reaction zone is not thin, two interaction parameters (the flame stretch and the flame curvature) are independently present in the flame speed equations.
- A.Y.Klimenko and A.G.Class
On premixed flames as gasdynamic discontinuities: A simple approach to derive their propagation speed, ,
Comb.Sci Tech. V. 160 pp.25-37 (2000).
- A.Y.Klimenko and A.G.Class
Propagation of non-stationary curved and stretched premixed flames with thin reaction zones and multi-step reaction mechanisms. ,
Combustion Science and Technology, 174 (8), pp. 165-207, 2002,
- A.Y.Klimenko, A.G.Class and S.M.O'Gorman
Near-equidiffusion disturbed premixed flames with wider reaction zones ,
Flow, Turbulence and Combustion, 69 (2): 95-122 2002.
- A.G. Class, B. J. Matkowsky, and A. Y. Klimenko,
A unified model of flames as gasdynamic discontinuities ,
Journal of Fluid Mechanics, 491, 11-49, 2003.
- A.G Class, B. J. Matkowsky, and A. Y. Klimenko,
Stability of planar flames as gasdynamic discontinuities ,
Journal of Fluid Mechanics, 491, 51-63, 2003
Generalised MMC in application to premixed flames
- B. Sundaram, A.Y. Klimenko, M.J. Cleary, U. Maas, Prediction of NOx in premixed high-pressure lean methane flames with a MMC-partially stirred reactor, Proceedings of the Combustion Institute, Vol. 35, 2, 2015, 1517-1525
- B. Sundaram, A. Y. Klimenko, A PDF approach to thin premixed flamelets using multiple mapping
conditioning , Proceedings of the Combustion Institute, Vol. 36, 2, 2017, 1937–1945
Theory of firewhirls
Firewhirl in Australia (ABC news)
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