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A pore scale study on turbulent combustion in porous media

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Abstract

This paper presents pore scale simulation of turbulent combustion of air/methane mixture in porous media to investigate the effects of multidimensionality and turbulence on the flame within the pores of porous media. In order to investigate combustion in the pores of porous medium, a simple but often used porous medium consisting of a staggered arrangement of square cylinders is considered in the present study. Results of turbulent kinetic energy, turbulent viscosity ratio, temperature, flame speed, convective heat transfer and thermal conductivity are presented and compared for laminar and turbulent simulations. It is shown that the turbulent kinetic energy increases from the inlet of burner, because of turbulence created by the solid matrix with a sudden jump or reduction at the flame front due to increase in temperature and velocity. Also, the pore scale simulation revealed that the laminarization of flow occurs after flame front in the combustion zone and turbulence effects are important mainly in the preheat zone. It is shown that turbulence enhances the diffusion processes in the preheat zone, but it is not enough to affect the maximum flame speed, temperature distribution and convective heat transfer in the porous burner. The dimensionless parameters associated with the Borghi–Peters diagram of turbulent combustion have been analyzed for the case of combustion in porous media and it is found that the combustion in the porous burner considered in the present study concerns the range of well stirred reactor very close to the laminar flame region.

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References

  1. Dybbs A, Edwards RV (1984) A new look at porous media fluid mechanics—Darcy to turbulent. In: Bear J, Corapcioglu MY (eds) Fundamentals of transport phenomena in porous media. Martinus Nijhoff Publishers, Dordrecht, pp 1–30

    Google Scholar 

  2. Jolls KR, Hanratty TJ (1996) Transition to turbulence for flow through a dumped bed of spheres. Chem Eng Sci 21:1185–1190

    Article  Google Scholar 

  3. Fand RM, Kim BYK, Lam ACC, Phan RT (1987) Resistance to the flow of fluids through simple and complex porous media whose matrices are composed of randomly packed spheres. J Fluids Eng 109:268–274

    Article  Google Scholar 

  4. Hall MJ, Hiatt JP (1994) Exit flows from highly porous media. Phys Fluids 6:469–479

    Article  Google Scholar 

  5. Wharton JA, Ellzey JL, Bogard DG (2005) An experimental study of turbulence intensities and non-uniformities in the exit flow from a porous medium. Exp Fluids 38:701–707

    Article  Google Scholar 

  6. Lim IG, Matthews RD (1998) Development of a model for turbulent combustion within porous inert media. Int J Fluid Mech Res 25:111–122

    Article  Google Scholar 

  7. Lage JL (1998) The fundamental theory of flow through permeable media from Darcy to turbulence. In: Ingham DB, Pop I (eds) Fundamentals of transport phenomena in porous media. Pergamon, Kindlington, pp 1–30

    Chapter  Google Scholar 

  8. Hsu PF, Evans WD, Howell JR (1993) Experimental and numerical study of premixed combustion within nonhomogeneous porous ceramics. Combust Sci Technol 90:149–172

    Article  Google Scholar 

  9. Kamal MM, Mohamad AA (2006) Combustion in porous media: a review. J Power Energy 220(5):487–508

    Article  Google Scholar 

  10. Hsu PF, Matthews RD (1993) The necessity of using detailed kinetics in models for premixed combustion within porous media. Combust Flame 93:457–466

    Article  Google Scholar 

  11. Yarahmadi A, Nobari MRH, Hosseini R (2011) A numerical investigation of laminar and turbulent premixed flames in porous media. Combust Sci Technol 183:1146–1183

    Article  Google Scholar 

  12. Antohe BA, Lage JL (1997) A general two-equation macroscopic model for incompressible flow in porous media. Int J Heat Mass Transf 40:3013–3024

    Article  MATH  Google Scholar 

  13. Nakayama A, Kuwahara F (1999) A macroscopic turbulence model for flow in a porous medium. J Fluid Eng 121:427–433

    Article  Google Scholar 

  14. Pedras MHJ, de Lemos MJS (2001) Macroscopic turbulence modeling for incompressible flow through undeformable porous media. Int J Heat Mass Transf 44:1081–1093

    Article  MATH  Google Scholar 

  15. Teruel FE, Uddin R (2009) A new turbulence model for porous media flow. Part I: constitutive equation and model closure. Int J Heat Mass Transf 52:4264–4272

    Article  MATH  Google Scholar 

  16. Kaviany M (1991) Principles of heat transfer in porous media. Springer, New York

    Book  Google Scholar 

  17. Younis LB, Viskanta R (1993) Experimental determination of the volumetric heat transfer coefficient between stream of air and ceramic foam. Int J Heat Mass Transf 36:1425–1434

    Article  Google Scholar 

  18. Hsu PF, Howell R (1992) Measurments of thermal conductivity and optical properties of porous partially stabilized zirconia. Exp Heat Transf 5:293–313

    Article  Google Scholar 

  19. Hackert LC, Ellzey LJ, Ezekoye AO (1999) Combustion and heat transfer in model two-dimensional porous burners. Combust Flame 116:177–191

    Article  Google Scholar 

  20. Sahraoui M, Kaviany M (1994) Direct simulation vs volume-averaged treatment of adiabatic, premixed flame in a porous medium. Int J Heat Mass Transf 37:2817–2834

    Article  MATH  Google Scholar 

  21. Jouybari NF, Maerefat M, Nimvari ME (2014) Pore scale simulation versus volume averaged treatment of turbulent reacting and nonreacting flows in a porous medium. J Porous Media 17(2):103–116

    Article  Google Scholar 

  22. Saito MB, de Lemos MJS (2006) A correlation for interfacial heat transfer coefficient for turbulent flow over an array of square rods. J Heat Trans T ASME 128:444–452

    Article  Google Scholar 

  23. Kuwahara F, Shirota M, Nakayama A (2001) A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media. Int J Heat Mass Transf 44:1153–1159

    Article  MATH  Google Scholar 

  24. Nakayama A, Kuwahara F, Sugiyama M, Xu G (2001) A two-energy equation model for conduction and convection in porous media. Int J Heat Mass Transf 44:4375–4379

    Article  MATH  Google Scholar 

  25. Kuwahara F, Yamane T, Nakayama A (2006) Large eddy simulation of turbulent flow in porous media. Int Commun Heat Mass 33:411–418

    Article  Google Scholar 

  26. Yang J, Zhou M, Li SY, Bu SS, Wang QW (2014) Three-dimensional numerical analysis of turbulent flow in porous media formed by periodic arrays of cubic, spherical, or ellipsoidal particles. J Fluid Eng T ASME 121:427–433

    Google Scholar 

  27. Filho RCM, Pimenta AP (2010) A two-dimensional numerical simulation of combustion and heat transfer in radiant porous burners. Combust Sci Technol 183(4):370–389

    Article  Google Scholar 

  28. Yiguang J, Kaoru M (2011) Microscale combustion: technology development and fundamental research. Prog Energ Combust 37(6):669–715

    Article  Google Scholar 

  29. Wood S, Harris TH (2008) Porous burners for lean-burn applications. Prog Energ Combust 34(5):667–684

    Article  Google Scholar 

  30. Fand RM, Thinakaran R (1990) The influence of the wall on flow through pipes packed with spheres. ASME J Fluid Eng 112(1):84–88

    Article  Google Scholar 

  31. Law CK (2006) Combustion physics. Cambridge University Press Cambridge, New York

    Book  Google Scholar 

  32. Chaffin C, Koenig, M, Koeroghlian M, Matthews RD, Hall MJ, Lim IG, Nichols SP (1991) Experimental investigation of premixed combustion within highly porous media. In: Proceedings of the ASME JSME thermal engineering joint conference

  33. Guo B, Yu A, Wright B, Zulli P (2006) Comparison of several turbulence models applied to the simulation of gas flow in a packed bed. Chem Eng Technol 29:596–603

    Article  Google Scholar 

  34. Diamantis DJ, Mastorakos E, Goussis DA (2002) Simulations of premixed combustion in porous media. Combust Theor Model 6:383–441

    Article  Google Scholar 

  35. Zhao PH, Ye TH, Jiang H, Chen YL (2008) Study of the mechanisms of the flame propagation and stabilization in porous media. Sci China Ser E 51:871–881

    Article  MATH  Google Scholar 

  36. Peters N (1986) Laminar flamelet concepts in turbulent combustion. Proc Combust Inst 21:1231–1250

    Article  Google Scholar 

  37. Borghi R (1988) Turbulent combustion modeling. Prog Energy Combust 14:245–292

    Article  Google Scholar 

  38. Abdel-Geyed RG, Bradley D (1989) Combustion regime and straining of turbulent flames. Combust Flame 76:213–218

    Article  Google Scholar 

  39. Peters N (1999) The turbulent burning velocity for large-scale and small-scale turbulence. J Fluid Mech 384:107–132

    Article  MATH  Google Scholar 

  40. Poinsot T, Veynante D (2005) Theoretical and numerical combustion. R.T. Edwards, Philadelphia

    Google Scholar 

  41. Dobrego KV, Chornyi AD (2001) Parallels between the regimes of turbulent and filtration combustion of gases in inert porous media. J Eng Phys Thermophys 74(3):581–590

    Article  Google Scholar 

Download references

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Jouybari, N.F., Maerefat, M. & Nimvari, M.E. A pore scale study on turbulent combustion in porous media. Heat Mass Transfer 52, 269–280 (2016). https://doi.org/10.1007/s00231-015-1547-x

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