Characterization of heat transfer between phases inside a porous medium as applied to vegetal set representations

International Journal of Heat and Mass Transfer

Volumn 55, Issue 4, 2012, Pages 607-617

  Lamorlette, A ^a   Collin, A ^a   Sero Guillaume O ^a  

^a NANCY UNIVERSITÉ   (France)

Author keywords

Heat transfer; Iterated Function Systems; Vegetal media

Indexed keywords

BALANCE EQUATIONS; COMPUTATIONAL HEAT TRANSFER; CONVECTIVE HEAT TRANSFER; ENVIRONMENTAL PROBLEMS; FOREST FIRES; ITERATED FUNCTION SYSTEM; POROUS MEDIUM; POWER LAW; POWER LAW EXPONENT; SET REPRESENTATION; STANTON NUMBERS; TREE STRUCTURES; VEGETAL MEDIA;

DEFORESTATION; FIRES; FLOW OF FLUIDS; HEAT TRANSFER; POROUS MATERIALS; REYNOLDS NUMBER;

HEAT CONVECTION;

CONVECTION; DEFORESTATION; FLUID FLOW; FOREST FIRES; HEAT TRANSFER; ITERATIVE METHODS; PHASES; POROUS MATERIALS; REYNOLDS NUMBER;

EID: 82955233831     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2011.10.051     Document Type: Article

References (37)

1. C. Di Blasi Modeling and simulation of combustion processes of charring and non-charring solid fuels Prog. Energ. Combust. Sci. 19 1 1993 71 104 (Pubitemid 23693630)
2. A.M. Grishin Mathematical Modeling Forest Fire and New Methods Fighting Them 1997 Publishing House of Tomsk University Tomsk, Russia
3. C. Di Blasi, C. Branca, A. Santoro, and E. Gonzalez-Hernandez Pyrolytic behavior and products of some wood varieties Comput. Fluids 124 1-2 2001 165 177 (Pubitemid 32008420)
4. D. Morvan, S. Méradji, and G. Accary Physical modelling of fire spread in grassland Fire Safety J. 44 1 2009 50 61
5. B. Stocks, M. Alexander, and R. Lanoville Overview of the international crown fire modelling experiment (ICFME) Can. J. Forest Res. 34 8 2004 1543 1547 (Pubitemid 39501104)
6. J. Dupuy, and D. Morvan Numerical study of a crown fire spreading toward a fuel break using a multiphase physical model Int. J. Wildland Fire 14 2 2005 141 151 (Pubitemid 40938619)
7. O. Séro-Guillaume, and J. Margerit Modelling forest fires. Part I: a complete set of equations derived by extended irreversible thermodynamics Int. J. Heat Mass Transfer 45 8 2002 1705 1722 (Pubitemid 34170188)
8. F. Kuwahara, M. Shirota, and A. Nakayama A numerical study of interfacial convective heat coefficient in two-energy equation model for convection in porous media Int. J. Heat Mass Transfer 44 6 2001 1153 1159 (Pubitemid 32270320)
9. E. Sanchez-Palencia Non-homogeneous media and vibration theory Lecture Notes in Physics vol. 127 1980 Springer-Verlag Berlin, Heidelberg, New-York
10. M. Kaviany Fundamentals of Heat Transfer in Porous Media 1992 American Society of Mechanical Engineers New York
11. M. Quintard, M. Kaviany, and S. Whitaker Two-medium treatment of heat transfer in porous media: numerical results for effective properties Adv. Water Resour. 20 2-3 1997 77 94
12. C. Marle On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media Int. J. Eng. Sci. 20 5 1982 643 662
13. D. Jou, J. Casas-Vasquez, and G. Lebon Extended Irreversible Thermodynamics second ed. 1993 Springer-Verlag Berlin, Heidelberg
14. D. Aliaga, J. Lam, and D. Klein Convection heat transfer distributions over plates with square ribs from infrared thermography measurements Int. J. Heat Mass Transfer 37 3 1994 363 374 (Pubitemid 276994)
15. J. Buchlin Natural and forced convection heat transfer on slender cylinders Rev. Gén. Therm. 37 8 1998 653 660 (Pubitemid 128784406)
16. D. Bougeard Infrared thermography investigation of local heat transfer in a plate fin and two-tube row assembly Int. J. Heat Fluid Flow 26 5 2007 988 1002 (Pubitemid 47400147)
17. D. Calogine, J. Margerit, O. Séro-Guillaume, Characterisation of vegetation in forest fire models, in: Proceedings of the 3rd International Conference on Forest Fire Research, Coimbra, 1998, pp. 599-609.
18. O. Séro-Guillaume, D. Calogine, Inflame Project, Final Report on Vegetation Modelling, 2000.
19. J. Crawford, and I. Young A multiple scale fractal tree J. Theor. Biol. 145 2 1990 199 206
20. S. Ulam, On some mathematical problems connected with patterns of growth figures, in: Proceedings of the Symposium on Mathematical Problems in the Biological Sciences, vol. 14, 1962, pp. 215-224.
21. P. Oppenheimer, Real time design and animation of fractal plants and trees, in: Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, 1986, pp. 55-64. (Pubitemid 17484462)
22. A. Lindenmayer Mathematical models for cellular interactions in development, I. Filaments with one-sided inputs J. Theor. Biol. 18 3 1968 280 299
23. A. Lindenmayer Mathematical models for cellular interactions in development, II. Simple and branching filaments with two-sided inputs J. Theor. Biol. 18 3 1968 300 315
24. F. Danjon, H. Sinoquet, C. Godin, F. Colin, and M. Drexhage Characterisation of structural tree root architecture using 3D digitising and AMAPmod software Plant Soil 211 2 1999 241 258 (Pubitemid 29514653)
25. M. Barnsley Fractals Everywhere second ed. 1993 Academic Press
26. B. Mandelbrot The Fractal Geometry of Nature 1982 W.H. Freeman and Company
27. D. Calogine, N. Rimbert, and O. Séro-Guillaume Modelling of the deposition of retardant in a tree crown during fire fighting Environ. Modell. 22 11 2007 1654 1666 (Pubitemid 46963660)
28. A. Lamorlette, A. Collin, P. Boulet, and O. Séro-Guillaume Numerical evaluation of radiation extinction coefficient using fractal geometry for vegetation modelling Numer. Heat Transfer A 56 4 2009 360 377
29. A. Collin, A. Lamorlette, and O. Séro-Guillaume Modelling of tree crowns with realistic morphological features: new reconstruction algorithm based on Iterated Function System tool Ecol. Model. 222 3 2010 503 513
30. B. Zeïde, and P. Pfeifer A method for estimation of fractal dimension of tree crowns Forest Sci. 37 5 1991 1253 1265
31. B. Deng, W. Wu, and S. Xi A near-wall two-equations model for heat transfer in wall turbulent shear flow Int. J. Heat Mass Transfer 44 4 2001 691 698 (Pubitemid 32152901)
32. A. Lamorlette, Caractérisation macroscopique du milieu végétal pour les modles physiques de feux de forêts, Ph.D. Thesis, INPL Nancy-Université, France, 2008 (in french).
33. J. Vogel, and J. Eaton Combined heat transfer and fluid dynamic measurements downstream of a backward-facing step J. Heat Transfer 107 4 1985 922 929 (Pubitemid 15606694)
34. H. Chen, V. Patel, Near wall turbulence models for complex flows including separation, in: Proceedings of AIAA Fluid Dynamics and Laser Conference, Honolulu, vol. 19, 1988, pp. 641-648. (Pubitemid 18663726)
35. F. White, G. Christoph, A Simple New Analysis of Compressible Turbulent Two-Dimensional Skinfriction Under Arbitrary Conditions, Final Technical Report, Rhode Island University Kingston, Department of Mechanical Engineering and Applied Mechanics, 1971.
36. C. Jayatilleke The influence of Prandtl number and surface roughness on the resistance of the laminar sublayer to momentum and heat transfer Prog. Heat Mass Transfer 1 1969 193 329
37. Q. Duan, V. Gupta, and S. Sorooshian Shuffled Complex Evolution approach for effective and efficient global minimization J. Optimiz. Theory App. 76 3 1993 501 521 (Pubitemid 23643003)