Numerical study of an unsteady non-premixed flame in a porous medium based on the thermal equilibrium model
More details
Hide details
Department of mechanical engineering, Thammasat University, Thailand
Watit Pakdee   

Department of mechanical engineering, Thammasat University, Thailand
Submission date: 2020-04-10
Final revision date: 2021-03-18
Acceptance date: 2021-04-13
Online publication date: 2021-06-06
Publication date: 2021-07-25
Journal of Theoretical and Applied Mechanics 2021;59(3):401–412
The present research numerically investigates the non-premixed combustion of CH4 in a porous medium. The mathematical model proposed consists of conservation of mass, momentum, energy, and species equations. The discretized equations are integrated according to the third - order Runge - Kutta method. A porous medium is defined as a pseudohomogeneous medium. The proposed unsteady model is successfully validated with the published study. The model is able to describe physical behaviors of a non-premixed flame. The porous structure made of SiC gives higher temperature than when Al2O3 is used since SiC has higher thermal conductivity and lower heat capacity.
Beltrame A., Porshnev P., Merchan-Merchan W., Saveliev A., Fridman A., Kennedy L.A., Petrova O., Zhdanok S., Amouri F., Charon O., 2001, Soot and NO formation in methane-oxygen enriched diffusion flames, Combustion and Flame, 124, 295-310.
Bowman C.T., Hanson H., Davidson D.F., Gardiner Jr. W.C., Lissiaski V., Smith G.P., Golden D.M., Frenklach M., Goldenberg M., 1991, /
Brenner G., Pickenäcker K., Pickenäcker O., Trimis D., Wawrzinek K., Webber T., 2000, Numerical and experimental investigation of matrix-stabilized methane/air combustion in porous media, Combustion and Flame, 123, 201-213.
Bubnovich V., Henriquez L., Gnesdilov N., 2007, Numerical study of the effect of the diameter of alumina balls on flame stabilization in a porous-medium burner, Numerical Heat Transfer Part A, 52, 275-295.
Cheatham S., Matalon M., 2000, A general asymptotic theory of diffusion flames with application to cellular instability, Journal of Fluid Mechanics, 414, 105-144.
de Lemos M.J.S., Silva R. A., 2006, Turbulent flow over a layer of a highly permeable medium simulated with a diffusion-jump model for the interface, International Journal of Heat and Mass Transfer, 49, 3-4, 546-556.
Endo Kokubun M.A., Fachini F.F., Matalon M., 2017, Stabilization and extinction of diffusion flames in an inert porous medium, Proceedings of the Combustion Institute, 36, 1, 1485-1493.
Hackert C.L., Ellzey J.L., Ezekoye O.A., 1999, Combustion and heat transfer in model two-dimensional porous burners, Combustion and Flame, 116, 177-191.
Hosseinzadeh S., Fattahi A., Sadeghi S., Rahmani E., Bidabadi M., Zarei F., Xu F., 2020,Mathematical analysis of steady-state non-premixed multi-zone combustion of porous biomass particles under counter-flow configuration, Renewable Energy, 159, 705-725.
Kamal M.M., Mohamad A.A., 2005, Enhanced radiation output from foam burners operating with a nonpremixed flame, Combustion and Flame, 140, 233-248.
Kee R.J., Rupley F.M., Miller J.A., 1992, The Chemkin thermodynamic data base, Sandia National Laboratories Report, SAND-8215B.
Klayborworn S., Pakdee W., 2019, Effects of porous insertion in a round-jet burner on flame characteristics of turbulent non-premixed syngas combustion, Case Studies in Thermal Engineering, 14, 100451.
Lele S.K., 1992, Vortex-induced disturbance field in a compressible shear layer, Computational Physics, 103, 1, 16-42.
Lutz A.E., Kee R.J., Grear J.F., Rupley F.M., 1996, OPPDIF: a Fortran program for computing opposed flow diffusion flames, Sandia National Laboratories Report, SAND96-8243.
Malico I., Zhou X.Y., Pereira J.C.F., 2000, Two-dimensional numerical study of combustion and pollutants formation in porous burners, Combustion Science and Technology, 152, 57-79.
Marafie A., Vafai K., 2001, Analysis of non-Darcian effects on temperature differentials in porous media, International Journal of Heat and Mass Transfer, 44, 4401-4411.
Pakdee W., Mahalingam S., 2003, Accurate method to implement boundary conditions for reacting flows based on characteristic wave analysis, Combustion Theory and Modelling, 7, 4, 705-729.
Pakdee W., Mahalingam S., 2007, Numerical investigation of turbulent non-premixed combustion of a wood pyrolysis gas, Combustion, Explosion and Shock Waves, 43, 3, 258-275.
Pakdee W., Rattanadecho P., 2011, Natural convection in a saturated variable-porosity medium due to microwave heating, ASME Journal of Heat Transfer, 133, 062502-1-062502-8.
Smoke M.D., Giovangigli V. (1991) Formulation of the premixed and nonpremixed test problems, [In:] Smooke M.D. (eds) Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames. Lecture Notes in Physics, 384, 1-28
Takeno T., Sato K., Hase K., 1981, A theoretical study on an excess enthalphy flame, Proceedings of 18th International Symposium on Combustion, The Combustion Institute, Waterloo, Canada, 465-472.
Tarokh A., Mohamad A.A., Jiang L., 2009, Non-premixed CH4 combustion in a porous media, Proceedings of ASME International Mechanical Engineering Congress and Exposition, Florida, 197-204.
Trimis D., Durst F., 1996, Combustion in a porous medium – Advances and applications, Combustion Science Technology, 121, 153-168.
Wawrzinek K., Kesting A., Künzel J., Pickenäcker K., Pickenäcker O., Trimis D., Franz M., Hartel G., 2001, Experimental and numerical study of applicability of porous combustors for HCI synthesis, Catalysis Today, 60, 393-397.
Westbrook C.K., Dryer F.L., 1981, Simplified reaction mechanisms for the oxidation of hydrocarbon fuels in flames, Combustion Science and Technology, 27, 1, 31-43.