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A numerical study on gas-to-particle and particle-to-particle heat transfer in a conical fluidized bed reactor

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Abstract

In this present study, the particle behavior and heat transfer coefficients for particle-gas and particle-particle re found by using a computational model in a fluidization process. A conical shape is selected as a reactor due to its wide ange of applications. The equations describing gas and particle motions and heat transfer are solved by using the Eulerian two-fluid approach. Glass bead particles of two different sizes (2 mm and 4 mm) are used as bed materials, and the air is used as a fluidized gas. The velocity of the gas inlet is varied from 1.3 m/s to 2.6 m/s. The results demonstrate that the particle-gas eat transfer coefficient according to the velocity of the air inlet reaches its maximum value around 2.1 m/s, then decreases thereafter. Besides, at the same velocity, the particle-particle heat transfer coefficient reaches its maximum value, then decrease thereafter with increasing the velocity of the inlet air.

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Abbreviations

Ar:

Reactor cross sectional area, m2

d:

Diameter, m

ess :

Restitution coefficient for particle collisions

g̅:

Acceleration due to gravity, m/s2

go :

Radial distribution function

H:

Enthalpy, kJ/kg

hgs :

Heat transfer coefficient between gas and solid phases, W/ (m2-K)

hss :

Particle-particle heat exchange coefficient, W/ (m3-K)

Is :

Particle head, (m)

k:

Thermal conductivity, W/ (m-K)

m:

Mass, kg

N:

Number of phase

Nu:

Nusselt number

Pr:

Prandtl number

P:

Pressure, (Pa)

Res :

Particle Reynolds number

T:

Temperature, K

t:

Time, s

v̅:

Velocity vector, m/s

α :

Inter-phase momentum exchange coefficient, kg/ (m3s)

ε :

Volume fraction

γ :

Collision dissipation of energy fluctuation, kg/ (ms3)

λs :

Solid bulk viscosity, Pas

ώ:

Viscosity, Pas

ρ :

Density, kg/m3

Θ :

Granular temperature, m2/s2

T :

Stress tensor, Pa

φ :

Internal friction angle (°)

ψjsi :

Transfer of kinetic energy (J)

g:

Gas phase

s:

Solid phase

i:

Index, i

j:

Index, j

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Acknowledgments

This research is supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-20170R1D1 A3B03036041).

Author information

Authors and Affiliations

  1. Dept. of Mechanical Design Eng., College of Engineering, Jeonbuk National University, 567 Baekjedaero, Duckjin-gu, Jeonju, 54896, Korea

    Mohamed Y. Hashim & Ik-Tae Im

  2. Dept. of Mechanical Power and Energy, Faculty of Engineering, South Valley University, Qena, Egypt

    Mohamed Y. Hashim

  3. Dept. of Mechanical Power and Energy Engineering, Faculty of Engineering, Minia University, Main Road - Shalaby Land - Menia, Minia, 11432, Egypt

    Hamada M. Abdelmotalib

  4. School of Chemical Eng., College of Engineering, Jeonbuk National University, 567 Baekjedaero, Duckjin-gu, Jeonju, 54896, Korea

    Jong Seok Kim

  5. Dept. of Mechanical Eng, College of Engineering, Jeonbuk National University, 567 Baekjedaero, Duckjin-gu, Jeonju, 54896, Korea

    Dong Guk Ko

Authors
  1. Mohamed Y. Hashim
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  2. Hamada M. Abdelmotalib
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Corresponding author

Correspondence to Ik-Tae Im.

Additional information

Recommended by Editor Yang Na

Mohamed Yahya Hashim received his Master degree at Heat Transfer and Reactive Flow Lab. of Jeonbuk National University. He is currently a Ph.D. candidate at Fluid Engineering Lab. of Jeon-buk National University. His research focuses on swirling flow and ther-moacoustic instabilities in gas turbine combustors.

Hamada M. Abdelmotalib received the B.S. and M.S. in Mechanical Engineering from Minia university, Minia, Egypt in 2006 and 2011, respectively, and the Ph.D. from Jeonbuk National University, Korea in 2016. In 2016, he joined the Department of Mechanical Power and Energy, Faculty of Engineering, Minia University as a lecturer. His main research fields are, numerical modeling, fluidization, heat transfer, combustion, and pyrolysis.

Jong Seok Kim received the B.S., |M. S. ^degrees and Ph.D. in Chemical Engineering from Jeonbuk National University, Jeonju, Korea in 1987, 1991 and 1995, respectively. In 1998, he joined the Department of Chemical Engineering, Jeonbuk National University. His main research interests is transport phenomena in energy materials.

Dong-Guk Ko is a Research Professor in the Department of Mechanical Engineering, Jeonbuk National University. He received his Ph.D. degree in Mechanical Engineering in 2015 from Jeonbuk National University, Korea. His research interests include renewable energy, heat transfer and flow dynamics in various mechanical systems.

Ik-Tae Im received the |M. S. ^degree and Ph.D. in Mechanical Engineering from Hanyang University, Seoul, Korea in 1995 and 1999, respectively. In 2008, he joined the Department of Mechanical Design Engineering, Jeonbuk National University, where he has researched on a wide range of heat transfer applications, from heat exchanger to optimization of process parameters for reactors design. His research interests include various heat transfer problems with chemical reactions.

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Hashim, M.Y., Abdelmotalib, H.M., Kim, J.S. et al. A numerical study on gas-to-particle and particle-to-particle heat transfer in a conical fluidized bed reactor. J Mech Sci Technol 34, 2391–2402 (2020). https://doi.org/10.1007/s12206-020-0516-6

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  • DOI: https://doi.org/10.1007/s12206-020-0516-6

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