Table I.
Thermal Parameters and Thicknesses Used in Simulations for the TDS, Tissue Layers, and Blood
| Parameter | Units | Model domain | Blood | |||||
|---|---|---|---|---|---|---|---|---|
| TDS | SC | VE | DE | Fata | Musclea | |||
| ρ | kg m−3 | ρwater(T)b | 1220c 1080d |
1060e | 1116f | 850 | 1270 | 1060g |
| CP | J kg−1 K−1 | cPwater(T)b | Eq. 7 | Eq. 7 | 3800h | 2300 | 3800 | 3800g |
| k | W m−1 K−1 | 0.2967i | Eq. 8 | Eq. 8 | 0.53h | 0.16 | 0.53 | – |
| qmet | W m−3 | 0 | 0 | 2000j | 200h | 5 | 800 | – |
| ωk | kg m−3 s−1 | – | – | – | Table II | 0.60 | 0.50 | |
| α × 107l | m2 s−1 | 0.709 | 0.456c 0.456d |
0.629 | 1.25 | 8.18E-08 | 1.10E-07 | – |
| h × 103m | m | 0.10 | 0.0134c 0.0434d |
0.080 | 1.50 | 2.00 | 6.80 | – |
| h2/αn | s | 0.14 | 0.04c 0.04d |
0.10 | 18.00 | 48.88 | 421.05 | – |
All fat and muscle values taken from (49)
Default water values as a function of temperature supplied by COMSOL
Partially hydrated SC (0.34 g water/g dry tissue) assuming ρSC(dry) = 1300 kg m−3 (37)
Fully hydrated SC (2.87 g water/g dry tissue) assuming ρSC(dry) = 1300 kg m−3 (37)
Authors’ estimate based on hydrated SC value
Value for full thickness guinea pig skin obtained by Morales et al. (57)
(49)
Calculated for an Alza nicotine TDS of thickness 0.027 cm and thermal resistance 9.1 × 10−4 m2 K W−1 (59)
Estimated from the ratio of protein synthesis in epidermis and dermis under unstressed conditions (60)
Blood flow in SI units. ω is related to the commonly reported value Q [mL blood/(mL tissue·s)] according to Eq. 7
Thermal diffusivity at 32°C, calculated as k / ρcp
Layer thickness
Thermal time constant