Chaotic map models of soot fluctuations in turbulent diffusion flames

International Journal of Heat and Mass Transfer

Volumn 41, Issue 24, 1998, Pages 4095-4112

  Mukerji, S ^a,b   McDonough, J M ^a,b   Mengu M P ^a,b   Manickavasagam, S ^a,b   Chung, S ^a,b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; SOOT; TURBULENCE; TURBULENT FLOW;

CHAOTIC MAP MODELS; SOOT FLUCTUATIONS; TURBULENT DIFFUSION FLAMES;

FLAME RESEARCH;

ASH; FLAME; TURBULENT DIFFUSION;

EID: 0345003778     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00161-6     Document Type: Article

References (33)

1. M.P. Mengüç, J.M. McDonough, S. Manickavasagam, S. Mukerji, S. Swabb and S. Ghosal, Fluctuations of soot in turbulent diffusion flames: Experimental data and chaotic map models. Presented at ASME International Mechanical Engineering Congress and Exposition, Atlanta, GA, November 1996, pp. 17-22.
2. G.M. Faeth, S.M. Jeng, J. Gore, Radiation from flames, in: C.K. Law, et al. (Eds.), Heat transfer in fire and combustion systems, HTD-Vole 45, ASME, New York.
3. W.L. Grosshandler, P. Joulain, The effect of large scale fluctuations on flame radiation, in: Progress in astronautics and aeronautics, Vol. 105, Part II. AIAA, Washington, 1986, pp. 123-152.
4. J.P. Gore, S.M. Jeng, G.M. Faeth, Spectral and total radiation properties of turbulent hydrogen/air diffusion flames. ASME Journal of Heat Transfer 110 (1988) 173-181.
5. G.M. Faeth, J.P. Gore, S.O. Chuech, S.M. Jeng, Radiation from turbulent diffusion flames, in: C.L. Tien, T.C. Chawla (Eds.), Annual review of numerical fluid mechanics and heat transfer, Hemisphere, New York, 1989, pp. 1-38.
6. M.E. Kounalakis, Y.R. Sivathanu, G.M. Faeth, Infrared radiation statistics of nonluminous turbulent diffusion flames, ASME Journal of Heat Transfer 113 (1991) 437-445.
7. Y.R. Sivathanu, J.P. Gore, Coupled radiation and soot kinetics calculations in laminar acetylene/air diffusion flames, Combustion and Flame 97 (1994) 161-172.
8. CJ. Freitas, Perspective: Selected benchmarks from commercial CFD codes, Journal of Fluids Engineering 117 (1995)208-218.
9. J.M. McDonough, On intrinsic errors in turbulence models based on Reynolds-averaged Navier-Stokes equations, Fluid Mechanics Research 22 (1995) 1-29.
10. E.G. Hylin, J.M. McDonough, Theoretical development of a stochastic model for small-scale turbulence in an additive decomposition of the Navier-Stokes equations, Mechanical Engineering report CFD-02-96, University of Kentucky, Lexington, KY, 1996.
11. K.R. Sreenivisan, R. Ramshankar, Transition intermittency in open flows, and intermittency routes to chaos, Physica, 23D (1986) 246-258.
12. J.M. McDonough, S. Mukerji, S. Chung, A data-fitting procedure for chaotic time series, to appear in Applied Mathematics and Computation (1998).
13. P. Collet, J.-P. Eckmann, Iterated maps on the interval as dynamical systems, Birkhäuser-Boston, Boston, 1980.
14. MJ. Feigenbaum, Quantitative universality for a class of nonlinear transformations, Journal of Statistical Physics 19 (1978) 25-52.
15. T.H. Pulliam, J.A. Vastano, Transition to chaos in an open unforced 2D flow, Journal of Computational Physics, 105 (1993) 133-149.
16. U. Frisch, Turbulence, Cambridge University Press, Cambridge, 1995.
17. J.M. McDonough, RJ. Bywater, J.C. Buell, An investigation of strange attractor theory and small-scale turbulence, AIAA Paper 84-1674, 1984.
18. J.M. McDonough, J.C. Buell, RJ. Bywater, A comparison of routes to a strange attractor in one-dimensional local models of turbulent free and forced convection, ASME Paper 84-WA/HT-16, 1984.
19. J.M. McDonough, RJ. Bywater, Large-scale effects on local small-scale chaotic solutions to Burgers' equation, AIAA Journal 24 (1986) 1924-1930.
20. J.M. McDonough, RJ. Bywater, Turbulent solutions from an unaveraged additive decomposition of Burgers' equation, in: W.W. Bower, MJ. Morris (Eds.), Forum on turbulent flows, American Society of Mechanical Engineers (ASME), 1989, pp. 7-12.
21. J.M. McDonough, D. Wang, Additive turbulent decomposition: a highly parelizable turbulence simulation technique, in: N. Satufoka, et al. (Eds.), Parallel computational fluid dynamics: new algorithms and applications, Elsevier Science B.V., Amsterdam, 1995, 129-136.
22. S. Mukerji, J.M. McDonough, Parallel computation of 3-D small scale turbulence via additive turbulent decomposition, in: A. Acer, et al. (Eds.), Parallel computational fluid dynamics: Implementations and results using parallel computers, Elsevier Science B.V., Amsterdam, 1996, pp. 465-472.
23. J.M. McDonough, Y. Yang, E.G. Hylin, Modeling timedependent turbulent flow over a backward-facing step via additive turbulent decomposition and chaotic algebraic maps, in: W.H. Hui, Y.-K. Kwok, J.R. Chasnov, Proceedings of the First Asian Computational Fluid Dynamics Conference, 1995, pp. 747-752.
24. J.M. McDonough, D. Wang, M.P. Mengüç, Radiationturbulence interaction in flames using additive turbulent decomposition. In: M.P. Mengüç, Radiative TransferI: Proceedings of the First International Symposium on Radiative Transfer. Begell House, New York, 1996.
25. AJ. Salazar, J.M. McDonough, S. Mukerji, Transient heat transfer and fluid flow over an internal turbulence promoter via ATD/chaotic-map modeling, ASME Paper FEDSM97-3166, 1997.
26. M. Marion, R. Temam, Nonlinear Galerkin methods, SIAM Journal on Numerical Analysis 26 (1989) 1139-1157.
27. R.M. Brown, P. Perry, Z. Shen, The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: convergence theorems and error estimates, to appear in SIAM Journal of Mathematical Analysis, 1998.
28. D.C. Wilcox, Turbulent modeling for CFD, DCW Industries, Inc., La Caflada, CA, 1993.
29. H. Tennekes, J.L. Lumley, A first course in turbulence, MIT Press, Cambridge, MA, 1973.
30. J. Buckmaster, N. Peters, The infinite candle and its stability-a paradigm for flickering turbulent diffusion flames, Proceedings of the 21st International Symposium on Combustion, 1986, the Combustion Institute, Pittsburgh, PA, 1829-1936.
31. D. Ruelle, F. Takens, On the nature of turbulence, Communications in Mathematical Physics 20 (1971) 167-192.
32. J. Guckenheimer, P. Homes, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Springer-Verlag, New York, 1983.
33. P. Berge, Y. Pomeau, C. Vidai, Order within chaos, John Wiley and Sons, New York, 1984.