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Modification of heat transfer correlations in a liquid–solid fluidized bed heat exchanger with cylindrical particles in aggregative fluidization

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Abstract

Most correlations presented for the heat transfer coefficient of liquid–solid fluidized bed heat exchangers are based on experiments with glass bead particles in particulate fluidization which usually under-predict the heat transfer coefficient. The present study used experimental data from previous studies for the heat transfer coefficient in liquid–solid fluidized bed heating systems using cylindrical metal particles and five heat transfer correlations based on experiments with spherical glass beads to approximate the behavior of the cylindrical metal particles under aggregative conditions. The results show that modifying the correlations significantly improved the prediction of heat transfer coefficients and the average relative error decreased in comparison with those for the original correlations.

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Abbreviations

Ar:

Archimedes number

Cpl :

Liquid heat capacity

Cps :

Particle heat capacity

d:

Diameter

deq :

Equivalent diameter

deff :

Effective diameter

dp :

Particle diameter

D:

Fluidized bed diameter

Dh :

Hydraulic diameter of fluidized bed

Nup :

Nusselt number based on particle diameter

Pr:

Prandtle number

Rep :

Particle Reynolds number

Re +h :

Modified Reynolds number \(= (ud_{p} /\varepsilon \nu ).\left( {2\pi^{2} \varepsilon^{2} /\left( {1 - \varepsilon } \right)^{2} } \right)^{1/3}\)

u:

Velocity

us :

Superficial velocity

umf :

Minimum fluid velocity

ut :

Particle terminal velocity

Vf :

Fluid volume

Vs :

Particle volume

\(\alpha\) :

Heat transfer coefficient

\(\varepsilon\) :

Bed voidage

\(\lambda_{l}\) :

Liquid thermal conductivity

\(\lambda_{s}\) :

Particle thermal conductivity

\(\rho_{l}\) :

Liquid density

\(\rho_{s}\) :

Solid density

\(\nu\) :

Kinematic viscosity

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Authors and Affiliations

  1. Department of Chemical Engineering, College of Engineering, University of Isfahan, Isfahan, Iran

    M. H. Maddahi & M. S. Hatamipour

  2. Department of Chemical Engineering, College of Petroleum, Petroleum University of Technology, Ahvaz, Iran

    M. Jamialahmadi

Authors
  1. M. H. Maddahi
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  2. M. S. Hatamipour
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  3. M. Jamialahmadi
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Correspondence to M. S. Hatamipour.

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Maddahi, M.H., Hatamipour, M.S. & Jamialahmadi, M. Modification of heat transfer correlations in a liquid–solid fluidized bed heat exchanger with cylindrical particles in aggregative fluidization. Heat Mass Transfer 52, 2391–2400 (2016). https://doi.org/10.1007/s00231-015-1747-4

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  • DOI: https://doi.org/10.1007/s00231-015-1747-4

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