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. 2021 Jan 22;11(8):4375–4394. doi: 10.1039/d0ra09287h

Definitions of measured and dimensionless variables and numerical values of bulk material variables used in the dimensional analysis.

Property Measured variables Dimensionless variables
Thermal Conductivity (k) k f ≡ foam k graphic file with name d0ra09287h-t4.jpg
k b ≡ bulk material k
k cellulose = 0.23 W m−1 K−1 (ref. 125)
k PU = 0.19 W m−1 K−1 (ref. 126)
k PLA = 0.18 W m−1 K−1 (ref. 127)
Density (ρ) ρ f ≡ foam apparent ρ graphic file with name d0ra09287h-t5.jpg
ρ b ≡ bulk material ρ
ρ cellulose = 1500 kg m−3 (ref. 128) Expansion ratio ≡ θ = 1/ρrel
ρ PU = 1225 kg m−3 (ref. 126) Void fraction ≡ γ = 1 − ρrel
ρ PLA = 1240 kg m−3 (ref. 129)
Average cell size (d) d ≡ measured average cell size graphic file with name d0ra09287h-t6.jpg
d max ≡ max cell size in 1 m3 at given γ
graphic file with name d0ra09287h-t7.jpg