. Author manuscript; available in PMC: 2019 Feb 1.

Published in final edited form as: Lasers Surg Med. 2017 Oct 9;50(2):143–152. doi: 10.1002/lsm.22746

TABLE 1.

HEAT TRANSFER AND NANOCOMPOSITE PATCH PARAMETERS USED IN THE MATHEMATICAL MODEL BASED ON REFERENCES [28,47,48]

Parameter

Variable

Value

Optical Density

0.1

Density

0.001 \frac{g}{m m^{3}}

Heat Capacity

C_p

3.4 \frac{J}{g \cdot K}

Thermal Conductivity

0.58 \frac{W}{m \cdot K}

Overall Heat Transfer Coefficient (air)

U_air

0.08 \frac{W}{m^{2} \cdot K}

Laser Power Density (area)

0.0233 \frac{W}{m m^{2}}

Optical Thickness

0.50 mm

Laser Power Density (volume)

Q_laser

0.0466 \frac{W}{m m^{3}}

Overall Laser Expression

Q_expression

13.7 \frac{K}{s}

Thermal Diffusivity

0.171 \frac{m m^{2}}{s}

Initial Temperature

T₀

23 °C

Universal Gas Constant

0.008314 \frac{k J}{mol \cdot K}

Arrhenius Scaling Factor

6×10²⁹ S⁻¹

Arrhenius Activation Energy

E_a

200 \frac{k J}{mol}