In this paper, the influence of structural conditions of a glasshouse and of meteorological conditions on the night fall of air temperature in the glasshouse was mainly investigated by employing a solution of response function of the air temperature in the house to cuter air temperature with a quadratic time change.
The time change of the inner air temperature (
iTa) after the initial transient (t≥3.6×10
3sec) was found to be
iT
a(t)≅1/P{Q
0+(Q
1+2b)(1/P-t)}+bt
2.
where Q
0=PT
0+A
w/C
pρV
c(A
f/A
wB
0-h
tfF
H/
0h), Q
1=(aP-A
fα/C
pρV
c), P=A
w(h
f+h
ad)/C
pρV
c.
A
w and A
f are the wall area and the floor area,
ht and
had total heat transfer coefficient and ventilating heat transfer coefficient,
Vc the volume of the glasshouse, oh the heat transfer coefficient at the outer surface of the wall,
f the shape factor characterizing the heat loss by effective radiation,
FH the effective radiation measured on a horizontal plane,
a and
b constants in an empirical formulae for the night fall of air temperature outside the house,
B0 the soil heat flux at the time of sun set, and α the gradient of the time change of the soil heat flux. The above relation was used to calculate the difference (τ
t) in air temperature between in and out the glassouse, that is the lag of air temperature in the glasshouse(see Eq. 13).
The relationship between the shape factor (
f) and the ratio of floor area to the wall area was studied on the basis of the equation for the effective radiation on a sloped surface. It was found out from model computation that the shape factor changes linearly with the ratio (
Af/Aw) as follows;
f=0.45+0.55A
f/A
w.
The next relation shows that the lag of air temperature (τ
12) at the time of sun up changes proportionally to the gradient (α) of the time change of soil heat flux (
Bs′).
τ
12=4.2+0.8·10
8α.
In the case that α is less than -5.25×10
-8, the values of the temperature lag become subsequently negative, indicating that the air temperature in the glasshouse is lower than that outside the house.
The lag (τ
12) of air temperature in the glasshouse increased in proportion to the ratio of the floor area to the wall area. The change in the lag of air temperature with the ratio (
Af/Aw) was more steep in the case of the glasshouse with smaller values of the total heat transfer coefficient than in the opposite case. The following relation shows the linear dependence of the degree hour upon the lag of air temperature at the time of sun up,
D.H.=12.7τ
12.
The lag (τ
12) of the air temperature in the glasshouse decreased throughout the range of ventilation values applied and the inner air temperature approximated gradually to that outside the glasshouse, although the initial decrease is more rapid. The heat loss from unit outer glass surface by effective radiation was found to be approximated by
htfFH/0h.
The influence of effective radiation on the temperature environment in the glasshouse becomes remarkable with increasing the value of constant
fht/0h.
View full abstract