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Air temperature in tunnel at outlet

Symbol
$\theta_{at,L}$
Unit
°C
Formulae
$\theta_{init}+\left(\theta_a+\left(T_t+T_e\right) N_{sys} N_c W_{tot}-\theta_{init}\right) \left(1-e^{\frac{-L_T}{L_0}}\right)$in tunnel
$\frac{W_{sum} L_T}{C_{av}}+\theta_{init}$in ventilated channel (Heinhold)
Related
$C_{av}$
Heat capacity of the air flow [W/K]
$L_0$
Reference length of the tunnel [m]
$L_T$
Length of the tunnel [m]
$N_c$
Number of sources in system
$N_{sys}$
Number of parallel systems in the same confinement
$T_e$
External thermal resistance of tunnel [K.m/W]
$T_t$
Star thermal resistance of tunnel [K.m/W]
$\theta_a$
Ambient temperature [°C]
$\theta_{init}$
Air temperature with no load [°C]
$W_{sum}$
Sum of total losses of all systems [W/m]
$W_{tot}$
Total losses per object [W/m]
Used in
$T_{sa}$
Thermal resistance by convection, surface to air [K.m/W]
$\theta_{o,L}$
Temperature of the surface of object at outlet [°C]
$\theta_{t,L}$
Temperature of tunnel wall at outlet [°C]
$W_{a,L}$
Heat removed by air at outlet [W/m]