We have introduced some theoretical equations concerning the nocturnal air cooling under tunnel cover. The effects of air temperature (θ
0) and sky radiation (
R : which was replaced with the equivalent temperature θ
R) out of tunnel cover were unified as the effective temperature of outside air (θ
e) . The cooling characteristic was described with three nondimensional parameters (α, β, γ) which were defined from the film area ratio (
H), the heat transfer coefficients of air turbulents at the both surfaces of tunnel cover, and the heat conductance of the underlying soil. The soil temperature (θ
s) was, on the other hand, decided by profile method.
Theoretical equations for culculation of the tunnelfilm temperature (θ
f) and the inside air temperature (θ
i) were as follows ;
θ
f=1/1+γθ
e+(1-1/1+γ)θ
sθ
i=
H/(
H+1)(1+γ)θ
e+ {1-
H/(
H+1)(1+γ)} θ
swhen θ
e=αθ
0+ (1-α) θ
RThe representative results were shown in Fig. 2, Fig. 3, and Fig, 6 for θi, and in Fig. 4 for θ
f.
The following conclusions were obtained ;
1) Under very clear sky with slight wind, the inside air temperature may fall lower than the outside.
2) The inside air temperature is also affected largely by the soil condition. The cooling rate is inversely proportional to the heat conductunce of soil.
3) The air temperature under trench cover (Fig. 5) is kept clearly warmer than under tunnel, as its film area ratio is smaller. Estimated values of the inside air temperature agreed well with the observed results (Tab. 2) .
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