Abstract
A three-dimensional mathematical model for simulation of flow, temperature, and concentration fields in a pilot-scale rotary hearth furnace (RHF) has been developed using a commercial computational fluid dynamics software, FLUENT. The layer of composite pellets under the hearth is assumed to be a porous media layer with CO source and energy sink calculated by an independent mathematical model. User-defined functions are developed and linked to FLUENT to process the reduction process of the layer of composite pellets. The standard k–ε turbulence model in combination with standard wall functions is used for modeling of gas flow. Turbulence-chemistry interaction is taken into account through the eddy-dissipation model. The discrete ordinates model is used for modeling of radiative heat transfer. A comparison is made between the predictions of the present model and the data from a test of the pilot-scale RHF, and a reasonable agreement is found. Finally, flow field, temperature, and CO concentration fields in the furnace are investigated by the model.
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Abbreviations
- A :
-
Constant in the eddy-dissipation model
- a :
-
Absorption coefficient for gas medium
- B :
-
Constant in the eddy-dissipation model
- C 1ɛ :
-
Constant in standard k–ɛ model
- C 2ɛ :
-
Constant in standard k–ɛ model
- C 3ɛ :
-
Constant in standard k–ɛ model
- C μ :
-
Constant in standard k–ɛ model
- c P :
-
Specific heat at constant pressure, J kg−1 K−1
- D i,m :
-
Diffusion coefficient for species i in the mixture, m2 s−1
- E :
-
Total energy per unit mass, J kg−1
- g j :
-
Component of the gravitational vector in the jth direction, m s−2
- G b :
-
Production of turbulent kinetic energy by buoyancy, J m−3 s−1
- G k :
-
Production of turbulent kinetic energy by velocity gradient, J m−3 s−1
- I :
-
Radiation intensity, W m−2 sr−1
- I b :
-
Blackbody radiation intensity, W m−2
- I bw :
-
Black body radiation at furnace temperature, W m−2
- I in :
-
Intensity of the incoming ray, W m−2 sr−1
- M :
-
Molecular weight, kg mol−1
- \( \overrightarrow {n} \) :
-
Outward normal vector
- p :
-
Pressure, Pa
- Pr t :
-
Turbulent Prandtl number
- q R :
-
Radiative heat transfer rate, W m−2
- \( \overrightarrow {r} \) :
-
Position vector, m
- R i :
-
Volumetric rate of creation of species i, mol m−3 s−1
- \( \overrightarrow {s} \) :
-
Unit direction vector, m
- Sc t :
-
Turbulent Schmidt number
- T :
-
Temperature, K
- u i :
-
Velocity components, m s−1
- Y i :
-
Mass fraction of species i
- Y P :
-
Mass fraction of any product species
- Y R :
-
Mass fraction of a particular reactant
- β :
-
Coefficient of thermal expansion
- δ ij :
-
Kronecker delta
- ɛ :
-
Dissipation rate of turbulent kinetic energy per unit mass, m2 s−3
- ɛ w :
-
Wall emissivity
- κ :
-
Absorption coefficient, m−1
- μ :
-
Molecular viscosity, kg m−1 s−1
- μ eff :
-
Effective viscosity, kg m−1 s−1
- μ t :
-
Turbulent viscosity, kg m−1 s−1
- ν ′ i,r :
-
Stoichiometric coefficient for reactant i in reaction r
- ν ″ i,r :
-
Stoichiometric coefficient for product i in reaction r
- ρ :
-
Density, kg m−3
- σ :
-
Stefan–Boltzmann constant, 5.67 × 10−8 W m−2 K−4
- σ k :
-
Turbulent Prandtl number for k in standard k–ɛ model
- σ ɛ :
-
Turbulent Prandtl number for ɛ in standard k–ɛ model
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The article was supported by the Fundamental Research Funds for the Central Universities (No. FRF-SD-12-007B).
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Manuscript submitted July 17, 2013.
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Liu, Y., Su, FY., Wen, Z. et al. CFD Modeling of Flow, Temperature, and Concentration Fields in a Pilot-Scale Rotary Hearth Furnace. Metall Mater Trans B 45, 251–261 (2014). https://doi.org/10.1007/s11663-013-0021-8
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DOI: https://doi.org/10.1007/s11663-013-0021-8