Abstract
This paper presents both experimental and theoretical works concerning the evaluation of the thermal conductivity and thermal diffusivity of hemp concrete. Experimental measurements of thermal properties are performed using a hot-strip technique for temperatures ranging from \(-\)3 \(^{\circ }{\text{ C }}\) to 30 \(^{\circ }{\text{ C }}\) and relative humidities ranging from 0 % to 95 %, thus creating a large database for this material. These experimental thermal conductivities are then compared with the results from the Krischer theoretical predictive model. The comparison shows good agreement, and a predictive analytical relation between the hemp concrete thermal conductivity, temperature, and relative humidity is determined.
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Abbreviations
- \(a\) :
-
Thermal diffusivity (\({\text{ m }}^{2}\cdot {{\text{ s }}^{-1}}\))
- \(b\) :
-
Hot-strip halfwidth (m)
- \(c_{p}\) :
-
Specific heat (\({\text{ J }}\cdot {\text{ kg }}^{-1}\cdot {{\text{ K }}^{-1}}\))
- \(mc_{\mathrm{hs}}\) :
-
Specific heat capacity (\({\text{ J }}\cdot {{\text{ K }}^{-1}}\))
- \(p\) :
-
Laplace parameter
- \(t\) :
-
Time (s)
- \(t_{\mathrm{c}}\) :
-
Critical time (s)
- \(u_{n}\) :
-
Transcendental solutions (\({\text{ m }}^{-1}\))
- \(x,y,z\) :
-
Cartesian coordinates
- \(w\) :
-
Water content (\({\text{ kg }}\cdot {\text{ kg }}^{-1}\))
- \(w_{0}\) :
-
GAB’s model coefficient (\({\text{ kg }}\cdot {{\text{ kg }}^{-1}}\))
- \(I\) :
-
Current (A)
- \(C\) :
-
GAB’s model coefficient
- \(E\) :
-
Thermal effusivity (\({\text{ J }}\cdot {\text{ m }}^{-2}\cdot {\text{ K }}^{-1}\cdot {{\text{ s }}^{-1/2}}\))
- \(H\) :
-
Sample height (m)
- \(K\) :
-
GAB’s model coefficient
- \(L\) :
-
Sample halfwidth (m)
- \(N\) :
-
Norm
- \(R_{\mathrm{c}}\) :
-
Contact resistance (\({\text{ K }}\cdot {{\text{ W }}^{-1}}\))
- \(RH\) :
-
Relative humidity (%)
- \(S\) :
-
Saturation
- \(S_{\mathrm{c}}\) :
-
Contact surface area (\({\text{ m }}^{2}\))
- \(T\) :
-
Temperature (\(^{\circ }{\text{ C }}\) or K)
- \(U\) :
-
Voltage (V)
- \(X\) :
-
Reduced sensitivity
- \(\alpha _{n}\) :
-
Eigenvalue
- \(\beta _{i}\) :
-
Parameter
- \(\varepsilon \) :
-
Porosity
- \(\theta \) :
-
Laplace space temperature (\(^{\circ }{\text{ C }}\) or K)
- \(\lambda \) :
-
Thermal conductivity (\({\text{ W }}\cdot {{\text{ m }}^{-1}}\cdot {\text{ K }}^{-1}\))
- \(\rho \) :
-
Density (\({\text{ kg }}\cdot {{\text{ m }}^{-3}}\))
- \(\varphi \) :
-
Laplace space flux (W)
- \(\psi \) :
-
Eigenfunction
- \(\phi \) :
-
Time space flux (W)
- a:
-
Dry air
- c:
-
Contact
- eff:
-
Effective
- exp:
-
Experimental
- hs:
-
Hot-strip
- s:
-
Solid
- w:
-
Moisture (liquid and vapor phases)
- \(\bot \) :
-
Orthogonal
- //:
-
Parallel
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Acknowledgments
The authors would like to thank the European Union for the equipment co-financing through the European Regional Development Fund.
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Pierre, T., Colinart, T. & Glouannec, P. Measurement of Thermal Properties of Biosourced Building Materials. Int J Thermophys 35, 1832–1852 (2014). https://doi.org/10.1007/s10765-013-1477-0
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DOI: https://doi.org/10.1007/s10765-013-1477-0