References
- Alamsari B, Torii S, Trianto A, Bindar Y. 2011. Heat and mass transfer in reduction Zone of Sponge iron reactor. ISRN Mech Eng. 2011:1–12. doi: 10.5402/2011/324659
- Clarke DA, Sederman AJ, Gladden LF, Holland DJ. 2018. Investigation of void fraction schemes for use with CFD-DEM simulations of fluidized beds. Ind Eng Chem Res. 57:3002–3013. doi: 10.1021/acs.iecr.7b04638
- Cundall PA, Strack ODL. 1979. A discrete numerical model for granular assemblies. Geotechnique. 29:47–65. doi: 10.1680/geot.1979.29.1.47
- Hamadeh H, Mirgaux O, Patisson F. 2018. Detailed modeling of the direct reduction of iron Ore in a shaft furnace. Materials (Basel). 11(10):1865. DOI:10.3390/ma11101865.
- Kim J, Moin P. 1985. Application of a fractional step method to incompressible Navier-Stokes equations. J Comput Phys. 59:308–323. doi: 10.1016/0021-9991(85)90148-2
- Luo ZG, Zhou H, Zhang T, You Y, Li HF, Zou ZS. 2015. DEM simulation of solid flow including asymmetric phenomena in COREX shaft furnace. J Iron Steel Res Int. 22:1098–1106. doi: 10.1016/S1006-706X(15)30118-7
- Parisi DR, Laborde MA. 2004. Modeling of counter current moving bed gas-solid reactor used in direct reduction of iron ore. Chem Eng J. 104:35–43. doi: 10.1016/j.cej.2004.08.001
- Patankar SV. 2005. Numerical heat transfer and fluid flow. Boca Raton, FL: Taylor and Francis; p. 116–120.
- Sarkar S, Gupta GS. 2007. Development of two-dimensional mathematical model for stress and gas distribution in a packed bed. Mater Metall Trans B. 38B:965–975. doi: 10.1007/s11663-007-9101-y
- Shams A, Moazeni F. 2015. Modeling and simulation of the MIDREX shaft furnace: reduction, transition and cooling Zones. JOM. 67:2681–2689. doi: 10.1007/s11837-015-1588-0
- Singh V, Gupta GS, Sarkar S. 2007. Study of gas cavity size hysteresis in a packed bed using DEM. Chem Eng Sci. 62:6102–6111. doi: 10.1016/j.ces.2007.07.002
- Tsuji Y, Kawaguchi T, Tanaka T. 1993. Discrete particle simulation of two-dimensional fluidized bed. Powder Technol. 77:79–87. doi: 10.1016/0032-5910(93)85010-7
- Tsuji Y, Tanaka T, Ishida T. 1992. Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technol. 71:239–250. doi: 10.1016/0032-5910(92)88030-L
- Zare GA, Valipour MS, Biglari M. 2017. CFD simulation of two-phase gas-particle flow in the Midrex shaft furnace: the effect of twin gas injection system on the performance of the reactor. Int J Hydrogen Energy. 42:103–118. doi: 10.1016/j.ijhydene.2016.11.053