H. Vcat, [ -3.947960830 e +04 , 5.755731020 e +02 , 9, 222712860.

N. Piatkowski, Solar-driven gasification of carbonaceous feedstock???a review, Energy Environ. Sci., vol.132, issue.1, 2011.
DOI : 10.1115/1.4000749

C. Higman and . Maarten-van-der-burgt, Sous la dir. de Christopher Higman et Maarten van der Burgt, pp.1-9, 2008.

R. Stephen and . Turns, An introduction to combustion : concepts and applications, 2012.

S. Lee, T. Yatish, and . Shah, Biofuels and bioenergy : processes and technologies. Green chemistry and chemical engineering, Boca Raton, pp.978-979
DOI : 10.1201/b12510

S. A. Channiwala and P. P. Parikh, A unified correlation for estimating HHV of solid, liquid and gaseous fuels, Fuel, vol.81, issue.8, pp.1051-1063, 2002.
DOI : 10.1016/S0016-2361(01)00131-4

D. Ballerini and O. Appert, Les biocarburants répondre aux défis énergétiques et environnementaux des transports, pp.978-980, 2011.

X. Truong-meyer, « Modélisation en génie des procédés Techniques de l'ingénieur Modélisation en génie des procédés base documentaire : TIB328DUO. (ref. article : j1021 2009). fre. url : http://www.techniques-ingenieur.fr/base- documentaire/procedes-chimie-bio-agro-th2/modelisation-en-genie-des- procedes-42328210/modelisation-en-genie-des-procedes-j1021

E. J. Molga, Neural network approach to support modelling of chemical reactors : problems, resolutions, criteria of application Application of Neural Networks to Multiphase Reactors 42, Chemical Engineering and Processing : Process Intensification, pp.675-695, 2003.

. Aiche, 533 p. isbn, pp.978-978, 2010.

P. Basu, Biomass Gasification and Pyrolysis : Practical Design and Theory. 1 edition, pp.978-978

K. H. Van-heek and H. Mühlen, « Chemical Kinetics of Carbon and Char Gasification NATO ASI Series 192. DOI : 10.1007/978-94-011-3310-4_1, Control of Carbon Gasification Reactivity. Sous la dir. de Jacques Lahaye et Pierre Ehrburger, pp.1-34978, 1007.

R. Bansal and M. Goyal, Activated carbon adsorption Boca Raton : Taylor & Francis, pp.978-978, 2005.

F. Mermoud, Influence of the pyrolysis heating rate on the steam gasification rate of large wood char particles, Fuel, vol.85, issue.10-11, pp.1473-1482, 2006.
DOI : 10.1016/j.fuel.2005.12.004

S. Gordon and B. J. Mcbride, Nasa Glenn Coefficient for calculating Thermodynamic Proprietes of Individual Specie. National Aeronautics et Space Administration, 1999.

A. K. Sharma, Equilibrium and kinetic modeling of char reduction reactions in a downdraft biomass gasifier: A comparison, Solar Energy, vol.82, issue.10, pp.918-928, 2008.
DOI : 10.1016/j.solener.2008.03.004

H. Petter-langtangen, Python scripting for computational science Texts in computational science and engineering 3, pp.978-981, 2009.

H. Petter-langtangen, A primer on scientific programming with python Texts in computational science and engineering 6, pp.978-981, 2012.

J. Bezanson, Julia: A Fresh Approach to Numerical Computing, SIAM Review, vol.59, issue.1, 2015.
DOI : 10.1137/141000671

. Nlsolve, Julia solvers for systems of nonlinear equations and mixed complementarity problems. 2015. url : https://github

D. Goodwin, Cantera 2.1.1 An object-oriented software toolkit for chemical kinetics, thermodynamics, and transport processes

N. Piatkowski and A. Steinfeld, Solar-Driven Coal Gasification in a Thermally Irradiated Packed-Bed Reactor, Energy & Fuels, vol.22, issue.3, pp.2043-2052, 2008.
DOI : 10.1021/ef800027c

S. Yagi and D. Kunii, Studies on combustion of carbon particles in flames and fluidized beds, Symposium (International) on Combustion 5, p.0082078455800331, 1955.
DOI : 10.1016/S0082-0784(55)80033-1

F. Patisson, HDR -Contribution à la modélisation des réactions et des réacteurs gaz-solide. Institut National Polytechnique de Lorraine-INPL url : https://tel.archives-ouvertes, 2005.

M. Soustelle, Cinétique hétérogène. 3, 2006.

M. Soustelle, Cinétique hétérogène. 1, 2006.

P. Lefort and S. Valette, « Cinétique des réactions du solide à températures élevées Modèles et applications » In : Techniques de l'ingénieur Mécanique physique base documentaire : TIB110DUO. (ref. article : af3689 2009). fre. url : http : / / www . techniques -ingenieur . fr / base -documentaire / sciences -fondamentales -th8 / mecanique -physique -42110210 / cinetique - des-reactions-du-solide-a-temperatures-elevees-af3689

M. Soustelle, . Cinétique-hétérogène, and . Paris, Hermès science publications, 1364.

J. Villermaux, Génie de la réaction chimique : conception et fonctionnement des réacteurs. Paris ; Londres, p.28520675959782852067592, 1993.

B. Bird and . Lightfoot, Transport phenomena, 2002.

M. Kaviany, Principles of heat transfer in porous media, 1995.

D. Kunii and J. M. Smith, « Heat transfer characteristics of porous rocks er mar, AIChE Journal, vol.61, issue.1, p.7, 1960.

P. Marc, Transferts de chaleur dans les milieux poreux Conduction, convection, rayonnement » In : Techniques de l'ingénieur Transferts thermiques base documentaire : TIB214DUO. (ref. article : be8250 2013)

W. Van-antwerpen, P. G. Rousseau, and C. G. Toit, Multi-sphere Unit Cell model to calculate the effective thermal conductivity in packed pebble beds of mono-sized spheres, Nuclear Engineering and Design, vol.247, p.0029549312001446, 2012.
DOI : 10.1016/j.nucengdes.2012.03.012

Y. Cengel and A. Ghajar, Heat and Mass Transfer : Fundamentals and Applications. 4 edition, pp.978-978

M. F. Modest, Radiative heat transfer, 2013.

R. John, R. Howell, M. Siegel, R. Pinar-mengüç-john, R. Howell et al., Thermal radiation heat transfer, p.3, 2016.

R. Siegel, Net radiation method for enclosure systems involving partially transparent walls url : http://ntrs.nasa.gov/search, 1973.

N. Piatkowski, C. Wieckert, and A. Steinfeld, Experimental investigation of a packed-bed solar reactor for the steam-gasification of carbonaceous feedstocks, Fuel Processing Technology, vol.90, issue.3, pp.360-366, 2009.
DOI : 10.1016/j.fuproc.2008.10.007

O. Levenspiel, Chemical Reaction Engineering. 3rd Revised edition, pp.0-471

N. Piatkowski and A. Steinfeld, Solar gasification of carbonaceous waste feedstocks in a packed-bed reactor-Dynamic modeling and experimental validation, AIChE Journal, vol.48, issue.12, p.9, 2013.
DOI : 10.1016/j.applthermaleng.2007.05.002

A. Belghit and S. Issami, Hydrogen production by steam gasification of coal in gas???solid moving bed using nuclear heat, Energy Conversion and Management, vol.42, issue.1, pp.81-99, 2001.
DOI : 10.1016/S0196-8904(00)00022-4

P. Basu, Combustion And Gasification in Fluidized Beds, pp.978-978, 2006.
DOI : 10.1201/9781420005158

L. Marcio, . De-souza, and . Santos, Solid Fuels Combustion and Gasification : Modeling, Simulation, and Equipment Operation, pp.978-978, 2004.

W. Ranz and . Marshall, « Evaporation from drops, Chem. Eng. Prog, vol.483, pp.141-146, 1952.

B. V. Babu, N. Pratik, and . Sheth, « Modeling and simulation of reduction zone of downdraft biomass gasifier : Effect of char reactivity factor ». In : Energy Conversion and Management 47.15 (sept, p.019689040500284006, 2006.

A. Degiovanni, « Transmission de l'énergie thermique Conduction Techniques de l'ingénieur Transferts thermiques base documentaire : TIB214DUO. (ref. article : be8200 1999). fre. url : http://www.techniques-ingenieur.fr/base- documentaire/energies-th4/transferts-thermiques-42214210/transmission- de-l-energie-thermique-be8200

J. Padet and . Convection-thermique-et-massique-nombre-de-nusselt, Techniques de l'ingénieur Transferts thermiques base documentaire : TIB214DUO. (ref. article : be8206, 2005.

V. Suhas and . Patankar, Numerical Heat Transfer and Fluid Flow, pp.978-978, 1980.

J. H. Ferziger, Computational Methods for Fluid Dynamics, pp.978-981, 2002.

H. K. Versteeg, An introduction to computational fluid dynamics : the finite volume method Avec la coll. de W. Malalasekera, pp.978-978, 2007.

J. Albert, C. M. Buschman, and . Pittman, Configuration Factors for Exchange of Radiant Energy Between Axisymmetrical Sections of Cylinders, Cones, and Hemispheres and Their Bases. 1 er oct, 1961.

T. Sympy-development, SymPy : Python library for symbolic mathematics, 2014.

J. E. Guyer, D. Wheeler, and J. A. Warren, FiPy: Partial Differential Equations with Python, Computing in Science & Engineering, vol.11, issue.3, pp.6-1552, 1109.
DOI : 10.1109/MCSE.2009.52

A. Akbar and E. , JFVM : A simple finite volume tool written in Julia. 2015. url : https://github

D. Baruah and D. C. Baruah, « Modeling of biomass gasification : A review Renewable and Sustainable Energy Reviews 39 (nov, pp.806-815, 2014.

T. Kumar, P. Pratik, and N. Sheth, « Biomass gasification models for downdraft gasifier : A state-of-the-art review ». In : Renewable and Sustainable Energy Reviews 50, p.1364032115004700, 2016.

W. Gumz, Gas producers and blast furnaces : theory and methods of calculation, p.1043659, 1950.

C. R. Altafini, P. R. Wander, M. Ronaldo, and . Barreto, Prediction of the working parameters of a wood waste gasifier through an equilibrium model, Energy Conversion and Management, vol.44, issue.17, pp.2763-2777, 2003.
DOI : 10.1016/S0196-8904(03)00025-6

A. Melgar, Thermochemical equilibrium modelling of a gasifying process, Energy Conversion and Management, vol.48, issue.1, pp.59-67, 2007.
DOI : 10.1016/j.enconman.2006.05.004

C. Higman and . Maarten-van-der-burgt, « Chapter 2 -The Thermodynamics of Gasification Sous la dir. de Christopher Higman et Maarten van der Burgt, pp.11-31, 2008.

Y. Wang and C. M. Kinoshita, Kinetic model of biomass gasification, Solar Energy, vol.51, issue.1, pp.19-25, 1993.
DOI : 10.1016/0038-092X(93)90037-O

D. Colomba and . Blasi, « Dynamic behaviour of stratifed downdraft gasifers, Chemical Engineering Science, vol.55, p.2931, 2000.

D. L. Giltrap, R. Mckibbin, and G. R. Barnes, « A steady state model of gaschar reactions in a downdraft biomass gasifier, In : Solar Energy, vol.741, pp.85-91, 2003.

B. Gøbel, The development of a computer model for a fixed bed gasifier and its use for optimization and control, Bioresource Technology, vol.98, issue.10, p.0960852406004214, 2007.
DOI : 10.1016/j.biortech.2006.08.019

E. D. Gordillo and A. Belghit, A downdraft high temperature steam-only solar gasifier of biomass char: A modelling study, Biomass and Bioenergy, vol.35, issue.5, pp.2034-2043, 2011.
DOI : 10.1016/j.biombioe.2011.01.051

T. H. Jayah, Computer simulation of a downdraft wood gasifier for tea drying, Biomass and Bioenergy 25, pp.459-469, 2003.
DOI : 10.1016/S0961-9534(03)00037-0

. Mocha, . Learning-framework-for-julia, and . Github, url : https://github. com/pluskid, 2016.

S. Niladri-sekhar-barman, S. Ghosh, and . De, Gasification of biomass in a fixed bed downdraft gasifier ??? A realistic model including tar, Bioresource Technology, vol.107, pp.505-511, 2016.
DOI : 10.1016/j.biortech.2011.12.124

S. Jarungthammachote and A. Dutta, Thermodynamic equilibrium model and second law analysis of a downdraft waste gasifier, Energy, vol.32, issue.9, p.0360544207000199, 2007.
DOI : 10.1016/j.energy.2007.01.010

A. Peter and . Fritzson, Principles of Object-Oriented Modeling and Simulation With Modelica 2.1, pp.0-471

A. Peter, N. J. Fritzson-hoboken, and . Wiley, Introduction to modeling and simulation of technical and physical systems with Modelica, pp.978-979, 2011.

E. Julia and ?. Julia, Language 0.4.6-pre documentation. url : http://docs. julialang.org/en/release-0, 2016.

?. C. Interoperability, ?. Python, and . Openmodelica, User's Guide v1.10.0-dev-335- gb2cea28 documentation. url : https://www.openmodelica.org/doc, 2016.

A. John, W. A. Duffie, and . Beckman, Solar Engineering of Thermal Processes. Édition : 4th Edition, pp.978-978

R. Pitz-paal, N. Bayer-botero, and A. Steinfeld, Heliostat field layout optimization for high-temperature solar thermochemical processing, Solar Energy, vol.85, issue.2, pp.38092-1000358007, 2011.
DOI : 10.1016/j.solener.2010.11.018

J. Taine, F. Enguehard, and E. Iacona, Transferts thermiques -5e édition -Introduction aux transferts d'énergie. 5e édition, pp.978-980

A. Giovannini and B. Bedat, Transfert de chaleur Toulouse : Cépaduès Éditions, 24 sept, pp.978-980, 2012.

C. R&d, url : http : / / chercheurs . edf . com / logiciels / code -saturne / presentation -code -saturne -45341 . html, 2016.

X. Wei, Ray tracing and simulation for the beam-down solar concentrator, Renewable Energy, vol.50, pp.161-167, 2013.
DOI : 10.1016/j.renene.2012.06.029

R. A. Svehia, Transport Coefficients for the NASA Lewis Chemical Equilibrium Program, 1995.

E. Bruce, J. M. Poling, . Prausnitz, P. O. John, and . Connell, The Properties of Gases and Liquids. 5 e éd, pp.0-07

R. J. Kee, Chemically reacting flow : theory and practice. Avec la coll, pp.0-471, 2003.

M. Lejeune, . Statistique-la-théorie-et-ses-applications, and . Paris, isbn : 978-2-8178-0157-5 2-8178-0157-1. url : http://public.eblib. com/EBLPublic/PublicView, p.667000, 2010.

J. A. Stevenson and J. C. Grafton, Radiation heat transfer analysis for space vehicles. DTIC Document, 1961.