1 05-March-2014 BE-RF-PM Calculations of the heat transfer coefficients for the TM0.

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1 05-March-2014 BE-RF-PM Calculations of the heat transfer coefficients for the TM0

2 05-March-2014 BE-RF-PM SAS : Heat Transfer Coefficient due to Convection SAS NATURAL-FREE CONVECTION Where g = gravitational acceleration m/s² β = coefficient of the volume expansion, ρω-ρ/ρ(Τω-Τ) Ts = temperature of the surface, °C Tω= temperature of the fluid sufficiently far from the surface, °C Lc = characteristic length of the geometry, m v = kinematic viscosity m²/s AIR properties k0.0257W/mK ρ1.205 kg/m 3 v1.5E-05 m2/s µ1.8E-05 CpCp 1005J/kgK Pr0.7 T∞T∞ 20 °C u ∞ (Nominal value) 0.7m/s For an horizontal plate the formula above is: for FORCED CONVECTION with For turbulent flow over the entire plate : L= 2 m

3 05-March-2014 BE-RF-PM 3 NATURAL-FREE CONVECTION Where g = gravitational acceleration m/s² β = coefficient of the volume expansion, ρω-ρ/ρ(Τω-Τ) Ts = temperature of the surface, °C Tω= temperature of the fluid sufficiently far from the surface, °C Lc = characteristic length of the geometry, m v = kinematic viscosity m²/s FORCED CONVECTION AIR properties k0.0257W/mK ρ1.205 kg/m 3 v1.5E-05 m2/s µ1.8E-05 CpCp 1005J/kgK Pr0.7 T∞T∞ 20 °C u ∞ (Nominal value) 0.7m/s PETS : Heat Transfer Coefficient due to Convection with 2 x 2 m

4 05-March-2014 BE-RF-PM SAS, PETS: Mixed Convection -Values 4 Nu natural Nu forced Nu mixed h SAS3.51e21.14e23.52e25.09 PETS e2 3.97

5 05-March-2014 BE-RF-PM SAS, PETS : Heat transfer coefficient due to Radiation 5 Emissivity ε 1 Stefan-Boltzmann constantσ5.67E-08 W m -2 K -4 Module surface temperature TsTs 30 °C 303K Surrounding temperature (wall) T sur 2040 °C K Heat transfer coefficient hrhr W/(m 2 K)

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