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Thermal Diffusivity and Thermal Conductivity of Dispersed Glass Sphere Composites Over a Range of Volume Fractions

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Abstract

Glass spheres are often used as filler materials for composites. Comparatively few articles in the literature have been devoted to the measurement or modelling of thermal properties of composites containing glass spheres, and there does not appear to be any reported data on the measurement of thermal diffusivities over a range of filler volume fractions. In this study, the thermal diffusivities of guar-gel/glass sphere composites were measured using a transient comparative method. The addition of the glass beads to the gel increased the thermal diffusivity of the composite, more than doubling the thermal diffusivity of the composite relative to the diffusivity of the gel at the maximum glass volume fraction of approximately 0.57. Thermal conductivities of the composites were derived from the thermal diffusivity measurements, measured densities and estimated specific heat capacities of the composites. Two approaches to modelling the effective thermal diffusivity were considered.

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Abbreviations

A :

Parameter defined by Eq. 14

B :

Parameter defined by Eq. 15

Bi :

Biot number defined by Eq. 5

c P :

Specific heat capacity (J·kg−1·K−1)

F :

Intercept of linear portion of temperature history

h :

Heat transfer coefficient (W·m−2·K−1)

k :

Thermal conductivity (W·m−1·K−1)

R :

Radius (m)

s :

Slope of linear portion of temperature history (s−1)

t :

Time (s)

T :

Temperature (°C)

v :

Volume fraction

x :

Mass fraction

α :

Thermal diffusivity (m2·s−1)

θ :

Dimensionless temperature change

λ :

Roots of Eq. 4

ψ :

Parameter defined by Eq. 14

∞:

Bulk condition

c :

Referring to reference sample

e :

Referring to test sample or effective property

gel:

Referring to the guar gel

glass:

Referring to the glass spheres

i :

Initial value

max :

Maximum value

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  1. University of Waikato, Private Bag 3105, Hamilton, 3240, New Zealand

    James K. Carson

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  1. James K. Carson
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Carson, J.K. Thermal Diffusivity and Thermal Conductivity of Dispersed Glass Sphere Composites Over a Range of Volume Fractions. Int J Thermophys 39, 70 (2018). https://doi.org/10.1007/s10765-018-2392-1

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