An analytical solution for bed-soil temperature was obtained from a theoretical analysis of the heat transfer system in a double-roofed greenhouse sprayed with well water between the roofing layers in which heat transfer characteristics were considered to be constant at night. Therefore, the bed-soil tempera-ture in the double-roofed greenhouse in which the evening bed-soil temperature distribution is known can be obtained from the temperatures of the im-mediate surroundings, the sky and the spray of water. The heat flux density in the bed soil then can be obtained from the solution. Temperatures for the aboveground part of the greenhouse at vari-ous points can be obtained by substituting the solu-tion for the bedsoil temperature for the solution obtained in a previous paper.
The solution for the bed-soil temperature is represented by the sum of the temperatures contributed by the initial bed-soil temperature distribution; the temperatures of the immediate surroundings, the sky and the spray of water. Temperatures contributed by each environmental factor are expressed by the product of their native contribution and weighting factors. The weighting factor for each environmental factorr was determined entirely by the heat transfer mechanism for the aboveground part of the green-house. Only one greenhouse heat transfer parameter existed for native contribution, that was a comprehensive time constant for soil surface temperature,
Tso, defined by ρ
cK/
g2so, in which ρ
c is the specific heat of the bed soil in volume,
K is the heat conductivity of the bed soil and
gso is the overall heat transfer coefficient for the bed-soil surface in Eq. (7) .
The temperature contributed by the initial bed-soil temperature is expressed by the total sum of the products of the initial bed-soil temperature distribution and weighting factors that were functions of depth and elapsed time. The greenhouse heat transfer parameters in these weighting factors were
Tso and the equivalent soil thickness,
l, that was defined by
K/
gso.
Tso determines the time scale of the bed-soil temperature change. The larger the
Tso, the slower the change in speed of the bed-soil surface temperature. Thus, the better the warmth-retaining property of the greenhouse. With a large
l, the temperature contributed by the deep soil was relatively large for greenhouses with the same
Tso values.
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