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Experimental and numerical simulations of compound heat transfer in an internally circulating fluidized bed

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Abstract

In this paper, the compound heat transfer of convection and radiation in an internal circulating fluidized bed for low temperature oxidation of pulverized coal was numerically simulated. The numerical prediction about the compound heat transfer characteristics and its relationship of convection and radiation was compared with the experimental measurements of low temperature radiation. The discrete ordinate model (DOM) was employed to investigate the radiation heat transfer in the low temperature oxidation internally fluidized bed, and user-defined function (UDF) was compiled by considering the effect of the particle flow emissivity on radiation heat transfer. The convection heat transfer coefficient increases with the increase of gas inlet volume flow rate and initial bed material height, however, thermal radiation coefficient was opposite. An increase of the thermal flux results in an increase of the surface temperature of the fluid and the heater surface, and the thermal transfer coefficient between bed material and heater surface is also increased. The results have the application reference to complex thermal transfer design of circulating fluidized bed systems wherein thermal radiation transfer must be considered as a significant mode.

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Abbreviations

d s :

Diameter of particles(m)

h :

Heat transfer coefficient (W/(m2K))

H :

Height of bed (m)

k :

Thermal conductivity (W/(mK))

q :

Thermal flux (W/m2)

μ :

Viscosity (Pa s)

φ :

Volume fraction

U :

Velocity(m/s)

\(\overset=\tau\) :

Pressure strain tensor (N/m2)

ρ :

Density(kg/m3)

ν:

Velocity(m/s)

T:

Temperature(K)

g :

Acceleration of gravity(m/s2)

ψ :

Specific enthalpy(J/kg)

S :

Heat source phase(W/m3)

s :

Path length

a :

Absorption coefficient

n :

Refractive index

s:

Scattering coefficient

σ :

Stefan-Boltzmann constant

I :

Radiation intensity

Ф :

Phase function

ε :

Emissivity

B :

Back-scatter fraction

p :

Pressure(Pa)

K :

Gas-solid momentum transfer coefficient

Γ, A, C, ω :

Coefficient of correction

D:

Drag coefficient

Re :

Reynolds number

avg :

Averaged

eff :

Effective

exp :

Experimental

f :

Fluid

g :

Gas-phase

i :

The measuring point of variables

num :

Numerical

s :

Solid-phase

w :

Heater wall

References

  1. Hassan M, Ahmad K, Rafique M et al (2019) Computational fluid dynamics analysis of the circulation characteristics of a binary mixture of particles in an internally circulating fluidized bed. Appl Math Model 72:1–16

    Article  MathSciNet  Google Scholar 

  2. Wu Y, Liu DY, Zheng D et al (2019) Numerical simulation of circulating fluidized bed oxy-fuel combustion with Dense Discrete Phase Model. Fuel Process Technol 195:106–129

    Article  Google Scholar 

  3. Chen CJ, Grace RJ, Golriz RM (2005) Heat transfer in fluidized beds: design methods. Powder Technol 150:123–132

    Article  Google Scholar 

  4. Qi T, Lei TZ, Yan BB et al (2019) Biomass steam gasification in bubbling fluidized bed for higher-H2 syngas: CFD simulation with coarse grain model. Science Direct 44:6448–6460

    Google Scholar 

  5. Liu WM, Yang S, Li HZ et al (2016) A transfer coefficient-based structure parameters method for CFD simulation of bubbling fluidized beds. Powder Technol 295:122–132

    Article  Google Scholar 

  6. Chen JH, Shi X, Wang S et al (2018) Investigation into fluctuating anisotropy for biomass gasification in bubbling fluidized bed gasifier. Appl Therm Eng 138:774–782

    Article  Google Scholar 

  7. Li JG, Yang B (2017) CFD simulation of bubbling fluidized beds using a local-structure-dependent drag model. Chem Eng J 329:100–115

    Article  Google Scholar 

  8. Geng SJ, Qian YN, Zhan JH et al (2017) Prediction of solids residence time distribution in cross-flow bubbling fluidized bed. Powder Technol 320:555–564

    Article  Google Scholar 

  9. Golriz MR, Sunden B (1995) An analytical-empirical model to predict heat transfer coefficients in circulating fluidized bed combustors. Heat Mass Transf 30:377–383

    Article  Google Scholar 

  10. Huan Z, Xiuzhen G, Jianglong Y et al (2016) Effects of drying method on self-heating behavior of lignite during low-temperature oxidation. Fuel Process Technol 151:11–18

    Article  Google Scholar 

  11. Morgan E, Mohammad RG (2005) Radiation heat transfer in circulating fluidized bed combustors. Int J Therm Sci 44:399–409

    Article  Google Scholar 

  12. Ates C, Ozen G, Selçuk N et al (2016) Radiative heat transfer in strongly forward scattering media of circulating fluidized bed combustors. J Quant Spectrosc Radiat Transfer 182:264–276

    Article  Google Scholar 

  13. Cihan A, Ozge S, Nevin S et al (2017) Influence of spectral particle properties on radiative heat transfer in optically thin and thick media of fluidized bed combustors. Int J Therm Sci 122:266–280

    Article  Google Scholar 

  14. Brewster MQ (1986) Effective absorptivity and emissivity of particulate media with application to a fluidized bed. J Heat Transfer 108(3):710–713

    Article  Google Scholar 

  15. Blaszczuk A, Nowak W (2015) Heat transfer behavior inside a furnace chamber of large-scale supercritical CFB reactor. Int J Heat Mass Transf 87:464–480

    Article  Google Scholar 

  16. Li F, Mielke E, Hughes RW et al (2019) Heat transfer in a pressurized fluidized bed with continuous addition of fines. Powder Technol 357:331–342

    Article  Google Scholar 

  17. Viktor S, Viktor S, Lovisa Ö et al (2019) Evaluation of bed-to-tube surface heat transfer coefficient for a horizontal tube in bubbling fluidized bed at high temperature. Powder Technol 352:488–500

    Article  Google Scholar 

  18. Mohsen F, Seyyed HH, Goodarz A et al (2019) Numerical simulation of heat transfer coefficient around different immersed bodies in a fluidized bed containing Geldart B particles. Int J Heat Mass Transf 141:353–366

    Article  Google Scholar 

  19. Ying W, Daoyin L, Jiliang M, Xiaoping C (2018) Effects of gas-solid drag model on Eulerian-Eulerian CFD simulation of coal combustion in a circulating fluidized bed. Powder Technol 324:48–61

    Article  Google Scholar 

  20. Yulong H, Gilles F, Jidong L et al (2005) 3D modelling of radiative heat transfer in circulating fluidized bed combustors: influence of the particulate composition. Int J Heat Mass Transf 48:1145–1154

    Article  Google Scholar 

  21. Lijun W, Weiwei Y, Shuping D et al (2019) Experimental and numerical investigation of heat transfer characteristics in an internally circulating fluidized bed. Heat Mass Transf 55:1195–1205

    Article  Google Scholar 

  22. Lijun W, Guangchao W, Jintao J et al (2019) Experimental and numerical investigation of particle flow and mixing characteristics in an internally circulating fluidized bed. J Chem Eng Jpn 52:89–98

    Article  Google Scholar 

  23. Mathur SR, Murthy JY (1999) Coupled ordinates method for multigrid acceleration of radiation calculations. J Thermophys Heat Transfer 13:1783–1785

    Article  Google Scholar 

  24. Qian YN, Han ZN, Zhan JH et al (2018) Comparative evaluation of heat conduction and radiation models for CFD simulation of heat transfer in packed beds. Int J Heat Mass Transf 127:573–584

    Article  Google Scholar 

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Acknowledgements

The authors are grateful to the National Basic Research Development Program of China (973 Program-2011CB201506) for the financial support of this work.

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Correspondence to Lijun Wang.

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Wang, L., Sun, J., Du, X. et al. Experimental and numerical simulations of compound heat transfer in an internally circulating fluidized bed. Heat Mass Transfer 57, 1845–1854 (2021). https://doi.org/10.1007/s00231-021-03073-2

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  • DOI: https://doi.org/10.1007/s00231-021-03073-2

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