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Measuring effective thermal conductivity of micro-particle porous materials in fixed bed by thermal probe method

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Abstract

For exploring the complex heat and mass transfer in the micro-particle fixed bed, the device to measure thermal conductivity was designed and built. The experiments showed that the error was less than 2.97% after calibrated, and reproducibility was good. Effects of particles diameters, porosity, flow rate and ion exchange on the thermal conductivity of micro-particle porous materials were investigated experimentally by thermal probe. The results indicated that the effective thermal conductivity in dry condition declined with the size of particles and porosity increase. The effective thermal conductivity in low flow rate (0.8 mL/min, 1.6 mL/min, 3.2 mL/min) is converse. The thermal conductivity of the resin particles after the ion exchange with the conditions of dry and low flow rate has not changed much. The chemical reaction and interrelated processing have no significant influence on the thermal conductivity by comparing with exchange of the ions of particles. The thermal conductivity of the soil from different areas in different ions further verified the above conclusions. The numerical simulation showed that the probe had little effect on the temperature field of fixed bed. It is a reliable and effective on-line method to measure the effective thermal conductivity of the micro-particle porous materials in fixed bed by thermal probe method.

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Abbreviations

Temperature T [K]:

Fixed bed penetration K [m2]

Voltage U [V]:

Resin particle size dp [m]

Current of heating wire I [A]:

Gradient operator ▽

Probe coefficient k:

Divergence operator ▽·

Fluid density ρf [kg/m3]:

Fluid specific heat capacity Cf [J/kg]

Solid skeleton density ρs [kg/m3]:

Solid skeleton specific heat Cs [J/kg]

Porosity ε:

Average of the product of density and specific heat capacity

Time τ [s]:

ρeCe [J/(m3·K)]

Horizontal vector of fluid velocity u [m/s]:

Fluid thermal conductivity λf [W·m−1·K−1]

Vertical vector of fluid velocity v [m/s]:

Solid skeleton thermal conductivity λs [W·m−1·K−1]

Pressure P [Pa]:

Effective thermal conductivity λ [W·m−1·K−1]

Hydrodynamic viscosity μ [kg/(m·s)]:

Average outlet temperature (probe model) Tprobe [K]

Dimensionless resistance coefficient Cf :

Average outlet temperature (no-probe model) Tno-probe [K]

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Qingdao University, Qingdao, 266071, Shandong, China

    Ruitong Ge & Yihua Zheng

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  1. Ruitong Ge
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  2. Yihua Zheng
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Correspondence to Yihua Zheng.

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Ge, R., Zheng, Y. Measuring effective thermal conductivity of micro-particle porous materials in fixed bed by thermal probe method. Heat Mass Transfer 56, 2681–2691 (2020). https://doi.org/10.1007/s00231-020-02892-z

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