List of parameters

Symbol Description Unit (SI) Minimum value Maximum value
QQ Heating power WW
qq Heat flux W/m2W/m^2
PdP_d Power dissipation WW 0
TT Temperature KK 200
TrefT_{ref} Reference temperature KK 200
σT2\sigma_T^2 Temperature variance K2K^2 0
σU2\sigma_U^2 Velocity variance m2/s2m^2/s^2 0
ρ\rho Density kg/m3kg/m^3 0
μ\mu Dynamic viscosity PasPa \cdot s 0
CpC_p Specific heat capacity J/(kgK)J/(kg \cdot K) 0
κ\kappa Thermal conductivity W/(mK)W/(m \cdot K) 0
αabsorption\alpha_{absorption} Absorption coefficient 1/m1/m 0
RlR_l Roughness length mm 0
RdR_d Thickness of thermal resistance layer mm 0
RkR_k Thermal conductivity of thermal resistance layer W/(mK)W/(m \cdot K) 0
RthR_{th} Absolute thermal resistance K/WK/W 0
UthU_{th} Total transmittance W/(m2K)W/(m^2 \cdot K) 0
hh Heat transfer coefficient W/(m2K)W/(m^2 \cdot K) 0 10 000
UU Velocity m/sm/s 0 1 000
m˙\dot m Mass flow rate kg/skg/s 0
Q˙\dot Q Volumetric flow rate m3/sm^3/s 0
ω\omega Rotational velocity rad/srad/s
Ω\Omega Speed rpmrpm
pp Pressure PaPa
prefp_{ref} Reference pressure PaPa
TaT_a Ambient temperature KK 200
ε\varepsilon Emissivity 0 1
α\alpha Absorptivity 0 1
εexternal\varepsilon_{external} External emissivity 0 1
Rf,minR_{f,min} Minimal feature size mm 0
Rf,maxR_{f, max} Maximal feature size mm 0
bRib_{Ri} Inner bending radius mm 0
bRob_{Ro} Outer bending radius mm 0
tt Sheet thickness mm 0
angleangle Angle °° 0
deltadelta Design height mm 0
orientationorientation Orientation vector
weightweight The weight of a function 0 1
target(ε)target(\varepsilon) The volume fraction of a volume constraint target 0 1
target(σT2)target(\sigma^2_T) Temperature variance K2K^2 0
gg Directional gravity vector m/s2m/s^2
β\beta Thermal expansion coefficient 1/K1/K
VV Voltage VV 0
ρelectrical\rho_{electrical} Electrical resistivity Ωm\Omega \cdot m 0
theatupt_{heatup} Heatup time ss 0
TinitialT_{initial} Initial temperature KK 200
TtargetT_{target} Target temperature KK 200

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