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Study on Effective Radial Thermal Conductivity of Gas Flow through a Methanol Reactor

  • Kun Lei , Hongfang Ma EMAIL logo , Haitao Zhang , Weiyong Ying and Dingye Fang
Published/Copyright: December 2, 2014

Abstract

The heat conduction performance of the methanol synthesis reactor is significant for the development of large-scale methanol production. The present work has measured the temperature distribution in the fixed bed at air volumetric flow rate 2.4–7 m3 · h−1, inlet air temperature 160–200°C and heating tube temperature 210–270°C. The effective radial thermal conductivity and effective wall heat transfer coefficient were derived based on the steady-state measurements and the two-dimensional heat transfer model. A correlation was proposed based on the experimental data, which related well the Nusselt number and the effective radial thermal conductivity to the particle Reynolds number ranging from 59.2 to 175.8. The heat transfer model combined with the correlation was used to calculate the temperature profiles. A comparison with the predicated temperature and the measurements was illustrated and the results showed that the predication agreed very well with the experimental results. All the absolute values of the relative errors were less than 10%, and the model was verified by experiments. Comparing the correlations of both this work with previously published showed that there are considerable discrepancies among them due to different experimental conditions. The influence of the particle Reynolds number on the temperature distribution inside the bed was also discussed and it was shown that improving particle Reynolds number contributed to enhance heat transfer in the fixed bed.

Acknowledgement

The authors acknowledge financial support in this research from the National Key Technology R&D Program of China (No. 2006BAE02B02).

Nomenclature

Cp

Specific heat, J · kg−1 · K−1

dp

Packed particle diameter, mm

dt

Column diameter, mm

e

Undetermined coefficients

G

Mass velocity, kg · m−2 · s−1

Gv

Gas volume flow rate, Nm3 · h−1

L

Column height, mm

l

Axial distance, mm

Nu

Nusselt number

Q

Quantity of heat, J

R

Dimensionless radius

Rep

Particle Reynolds number

r

Radial distance, mm

rw

Heating tube radius, mm

r0

Column radius, mm

t

Temperature, °C

tin

Inlet temperature, °C

tw

Heating tube temperature, °C

u

Fluid velocity, m · s−1

y

Test function

Greek letters
αw

Effective wall heat transfer coefficient, W · m−2 · K−1

λer

Effective radial thermal conductivity, W · m−1 · K−1

λf

Fluid thermal conductivity, W · m−1 · K−1

λe0

Thermal conductivity at zero flow, W · m−1 · K−1

μ

Fluid viscosity, Pa · s

ρ

Fluid density, kg · m−3

Subscript
Cal

Calculation results

Exp

Experimental results

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Published Online: 2014-12-2
Published in Print: 2015-3-1

©2015 by De Gruyter

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