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 |
|
| 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 |
|
| 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 |
|
| d max ≡ max cell size in 1 m3 at given γ | ||
|