American Institute of Mathematical Sciences

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October  2015, 8(5): 833-846. doi: 10.3934/dcdss.2015.8.833

Numerical simulation of flow in fluidized beds

Petr Bauer 1, , Michal Beneš 2, , Radek Fučík 2, , Hung Hoang Dieu 2, , Vladimír Klement 2, , Radek Máca 2, , Jan Mach 2, , Tomáš Oberhuber 2, , Pavel Strachota 2, , Vítězslav Žabka 2, and  Vladimír Havlena 3,

1. 

Institute of Thermomechanics, Czech Academy of Sciences, Dolejškova 5, 182 00 Prague, Czech Republic
2. 

Dept. of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Prague, Czech Republic, Czech Republic, Czech Republic, Czech Republic, Czech Republic, Czech Republic, Czech Republic, Czech Republic, Czech Republic
3. 

Honeywell ACS AT Laboratory Prague, V Parku 2326/18, 148 00 Prague, Cyprus

Received  January 2014 Revised  June 2014 Published  July 2015

The article provides a brief overview of a one-dimensional model of two-phase flow in the geometry of a circulating fluidized bed combustor exhibiting vertical variability of cross-section. The model is based on numerical solution of conservation laws for mass, momentum and energy of gas and solid components of the fluidized-bed system by means of the finite-volume method in space and of a multistep higher-order solver in time. The presented computational results reproduce characteristic behavior of fluidized beds in the given geometry.
Keywords: multi-phase flow, turbulence, reactive flows., Navier-Stokes equations, combustion.
Mathematics Subject Classification: Primary: 35M10, 35Q79, 76V05; Secondary: 80A25, 65M0.
Citation: Petr Bauer, Michal Beneš, Radek Fučík, Hung Hoang Dieu, Vladimír Klement, Radek Máca, Jan Mach, Tomáš Oberhuber, Pavel Strachota, Vítězslav Žabka, Vladimír Havlena. Numerical simulation of flow in fluidized beds. Discrete & Continuous Dynamical Systems - S, 2015, 8 (5) : 833-846. doi: 10.3934/dcdss.2015.8.833
References:
[1]

J. D. Anderson, Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, 1995. Google Scholar

[2]

P. Basu, K. Cen and L. Jestin, Boilers and Burners: Design and Theory, Springer-Verlag, 2000 Google Scholar

[3]

P. Basu, Combustion and Gasification in Fluidized Beds, CRC Press, 2006. Google Scholar

[4]

P. Bauer, A. Suzuki and Z. Jaňour, FEM for Flow and Pollution Transport in a Street Canyon. In: Numerical Mathematics and Advanced Applications 2009, Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, Sweden. Kreiss, G.; Lötstedt, P.; Malqvist, A.; Neytcheva, M. (Eds.), pp. 115-123. Google Scholar

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M. Beneš, T. Oberhuber, P. Strachota, R. Straka and V. Havlena, Mathematical modelling of combustion and biofuel co-firing in industrial steam generators, RIMS Kokyuroku Bessatsu, B35 (2012), 141-157.  Google Scholar

[6]

C. T. Bowman and D. J. Seery, Emissions from Continuous Combustion Systems, Plenum Press, New York, 1972. Google Scholar

[7]

M. Driscoll and D. Gidaspow, Wave Propagation and Granular Temperature in Fluidized Beds of Nano and FCC Particles, AIChE Journal, 53 (2007), 1718-1726. Google Scholar

[8]

R. Fučík and T. Oberhuber, Twophase Twodimensional Flow in Combustion Chamber Geometry, Functional Design Specification MMG 4-12, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2012. Google Scholar

[9]

D. Gidaspow, Multiphase Flow and Fluidization: Continuum and Kinetic Theory Description, Academic Press, Inc., Boston, MA, 1994.  Google Scholar

[10]

P. Lam and D. Gidaspow, Computational and Experimental Modelling of Slurry Bubble Column Reactors, U.S. DOE Annual Report No. DE-FG-98FT40117, National Energy Technology Laboratory, 2000. Google Scholar

[11]

J. Makovička and V. Havlena, Finite Volume Numerical Model of Coal Combustion, in: Beneš, M., Mikyška, J., Oberhuber, T. (Eds.), Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2004, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, (2005), 106-116. Google Scholar

[12]

J. Makovička, M. Beneš and V. Havlena, Model of turbulent coal combustion, Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2005, Kuju Training Center, Oita, Japan, (2006), 95-105.  Google Scholar

[13]

M. F. Modest, Radiative Heat Transfer, 2nd ed., Academic Press, 2003. Google Scholar

[14]

K. Myöhänen, T. Hyppänen and A. Vepsäläinen, Modelling of circulating fluidized bed combustion with a semi-empirical three-dimensional model, In Juuso, E., ed., SIMS 2006: Proceedings of the 47th Conference on Simulation and Modelling, Helsinki: Finnish Society of Automation, (2006), 194-199. Google Scholar

[15]

W. E. Schiesser, The Numerical Method of Lines, Academic Press, New York, 1991.  Google Scholar

[16]

J. C. Slattery, Momentum, Energy, and Mass Transfer in Continua, McGraw-Hill Book Company, New York, 1972. Google Scholar

[17]

L. D. Smoot and P. J. Smith, Coal Combustion and Gasification, Plenum Press, New York, 1985. Google Scholar

[18]

R. Straka and J. Makovička, Model of pulverized coal combustion in furnace, Kybernetika, 43 (2007), 879-891.  Google Scholar

[19]

R. Straka, J. Makovička and M. Beneš, Numerical model of air-staging and OFA in PC boiler, in Algoritmy 2009, Proceedings of contributed papers and posters, ed. Handlovičová A., Frolkovič P., Mikula K. and Ševčovič D. Slovak University of Technology in Bratislava, Publishing House of STU, 2009. Google Scholar

[20]

R. Straka, J. Makovička and M. Beneš, Numerical simulation of NO production in pulverized coal fired furnace, Environment Protection Engineering, 37 (2011), 13-22. Google Scholar

[21]

W.-C. Yang (ed.), Handbook of Fluidization and Fluid-Particle Systems, Marcel Dekker, 2003. Google Scholar

[22]

N. Zhang, B. Lu, W. Wang and J. Li, 3D CFD simulation of hydrodynamics of a 150MWe circulating fluidized bed boiler, Chemical Engineering Journal, 162 (2010), 821-828. Google Scholar

show all references

References:
[1]

J. D. Anderson, Computational Fluid Dynamics: The Basics with Applications, McGraw-Hill, 1995. Google Scholar

[2]

P. Basu, K. Cen and L. Jestin, Boilers and Burners: Design and Theory, Springer-Verlag, 2000 Google Scholar

[3]

P. Basu, Combustion and Gasification in Fluidized Beds, CRC Press, 2006. Google Scholar

[4]

P. Bauer, A. Suzuki and Z. Jaňour, FEM for Flow and Pollution Transport in a Street Canyon. In: Numerical Mathematics and Advanced Applications 2009, Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, Sweden. Kreiss, G.; Lötstedt, P.; Malqvist, A.; Neytcheva, M. (Eds.), pp. 115-123. Google Scholar

[5]

M. Beneš, T. Oberhuber, P. Strachota, R. Straka and V. Havlena, Mathematical modelling of combustion and biofuel co-firing in industrial steam generators, RIMS Kokyuroku Bessatsu, B35 (2012), 141-157.  Google Scholar

[6]

C. T. Bowman and D. J. Seery, Emissions from Continuous Combustion Systems, Plenum Press, New York, 1972. Google Scholar

[7]

M. Driscoll and D. Gidaspow, Wave Propagation and Granular Temperature in Fluidized Beds of Nano and FCC Particles, AIChE Journal, 53 (2007), 1718-1726. Google Scholar

[8]

R. Fučík and T. Oberhuber, Twophase Twodimensional Flow in Combustion Chamber Geometry, Functional Design Specification MMG 4-12, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, 2012. Google Scholar

[9]

D. Gidaspow, Multiphase Flow and Fluidization: Continuum and Kinetic Theory Description, Academic Press, Inc., Boston, MA, 1994.  Google Scholar

[10]

P. Lam and D. Gidaspow, Computational and Experimental Modelling of Slurry Bubble Column Reactors, U.S. DOE Annual Report No. DE-FG-98FT40117, National Energy Technology Laboratory, 2000. Google Scholar

[11]

J. Makovička and V. Havlena, Finite Volume Numerical Model of Coal Combustion, in: Beneš, M., Mikyška, J., Oberhuber, T. (Eds.), Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2004, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, (2005), 106-116. Google Scholar

[12]

J. Makovička, M. Beneš and V. Havlena, Model of turbulent coal combustion, Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2005, Kuju Training Center, Oita, Japan, (2006), 95-105.  Google Scholar

[13]

M. F. Modest, Radiative Heat Transfer, 2nd ed., Academic Press, 2003. Google Scholar

[14]

K. Myöhänen, T. Hyppänen and A. Vepsäläinen, Modelling of circulating fluidized bed combustion with a semi-empirical three-dimensional model, In Juuso, E., ed., SIMS 2006: Proceedings of the 47th Conference on Simulation and Modelling, Helsinki: Finnish Society of Automation, (2006), 194-199. Google Scholar

[15]

W. E. Schiesser, The Numerical Method of Lines, Academic Press, New York, 1991.  Google Scholar

[16]

J. C. Slattery, Momentum, Energy, and Mass Transfer in Continua, McGraw-Hill Book Company, New York, 1972. Google Scholar

[17]

L. D. Smoot and P. J. Smith, Coal Combustion and Gasification, Plenum Press, New York, 1985. Google Scholar

[18]

R. Straka and J. Makovička, Model of pulverized coal combustion in furnace, Kybernetika, 43 (2007), 879-891.  Google Scholar

[19]

R. Straka, J. Makovička and M. Beneš, Numerical model of air-staging and OFA in PC boiler, in Algoritmy 2009, Proceedings of contributed papers and posters, ed. Handlovičová A., Frolkovič P., Mikula K. and Ševčovič D. Slovak University of Technology in Bratislava, Publishing House of STU, 2009. Google Scholar

[20]

R. Straka, J. Makovička and M. Beneš, Numerical simulation of NO production in pulverized coal fired furnace, Environment Protection Engineering, 37 (2011), 13-22. Google Scholar

[21]

W.-C. Yang (ed.), Handbook of Fluidization and Fluid-Particle Systems, Marcel Dekker, 2003. Google Scholar

[22]

N. Zhang, B. Lu, W. Wang and J. Li, 3D CFD simulation of hydrodynamics of a 150MWe circulating fluidized bed boiler, Chemical Engineering Journal, 162 (2010), 821-828. Google Scholar

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