Two different sets of experiments were carried out:
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The aluminium sheet tray roofs of 2nd and 3rd model rooms were watered for three consecutive days at around 12PM – from 30-03-2021 to 01-04-2021 and
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The same tray roofs were maintained dry and were observed for three consecutive days – from 27-03-2021 to 29-03-2021.
During these sets of experiments the 1st model room with aluminium sheet roof was considered as reference. All these experiments were carried out under clear sky conditions. The solar radiation, ambient air temperature and relative humidity in the vicinity were recorded and were as shown in the Figs. 4 and 5.
First set of experiments. On the first day of the experiments, the roofs of the three set-ups were dry; the third model room had dry acacia gum in the roof pond. To make the analysis simple, the authors use the following abbreviations for the three model rooms (Table 1):
Table 1
Abbreviations for model rooms
Model room roof type
|
Abbreviation used
|
The reference model room with aluminium sheet roof (NO roof pond)
|
NO-RP
|
Model room with roof pond to contain water (W) only
|
W-RP
|
Model room with roof pond to contain AG based hydrogel (AGH) only
|
AGH-RP
|
The model room air temperatures were observed to be same on the first day as shown in Fig. 6. Water was poured in the roof ponds of W-RP and AGH-RP rooms at around 12 noon on the second day. The roof pond of W-RP room contained only water and that of the AGH-RP room contained AG based hydrogel (1:10 ratio as mentioned earlier). The water used was filtered mineral water. The acacia gum was observed to take around 30 to 45 minutes to dissolve into water. The pouring of water was cyclically repeated on 3rd and 4th days also at the same time i.e., around 12 noon. The air temperatures of the W-RP and AGH-RP rooms were observed to drop considerably as the water poured in both the roof ponds could absorb heat due to solar radiation. As the water and AGH were open to solar radiation and outside air, water could evaporate in response to solar radiation. Water evaporation due to surrounding unsaturated moist air was also part of the process. On the other hand, the roof ponds could also absorb heat from the inside air of the respective model rooms during early morning, evening and night hours.
Table 2
Average room air temperature for model rooms (First set of experiments)
Time (Date)
|
Average Room Air Temperature in ℃
|
Time of water addition to the roof ponds
|
NO-RP
|
W-RP
|
AGH-RP
|
12:00 NOON (29-03-21) to 6:00 PM (29-03-21)
|
43.3
|
44.2
|
43.4
|
Not watered.
|
6:00 PM (29-03-21) to 6:00 AM (30-03-21)
|
28.2
|
27.5
|
27.0
|
Not watered.
|
6:00 AM (30-03-21) to 12:00 NOON (30-03-21)
|
31.3
|
31.8
|
31.4
|
Not watered.
|
12:00 NOON (30-03-21) to 6:00 PM (30-03-21)
|
46.4
|
36.5
|
36.5
|
Water added at 12 noon.
|
6:00 PM (30-03-21) to 6:00 AM (31-03-21)
|
28.5
|
25.9
|
24.7
|
Not watered.
|
6:00 AM (31-03-21) to 12:00 NOON (31-03-21)
|
33.2
|
32.5
|
29.7
|
Not watered.
|
12:00 NOON (31-03-21) to 6:00 PM (31-03-21)
|
47.7
|
38.2
|
38.4
|
Water added at 12 noon.
|
6:00 PM (31-03-21) to 6:00 AM (01-04-21)
|
30.2
|
27.0
|
26.4
|
Not watered.
|
6:00 AM (01-04-21) to 12:00 NOON (01-04-21)
|
34.9
|
33.6
|
31.7
|
Not watered.
|
12:00 NOON (01-04-21) to 6:00 PM (01-04-21)
|
49.3
|
38.2
|
38.4
|
Water added at 12 noon.
|
6:00 PM (01-04-21) to 6:00 AM (02-04-21)
|
31.5
|
27.5
|
27.1
|
Not watered.
|
6:00 AM (02-04-21) to 12:00 NOON (02-04-21)
|
35.4
|
34.7
|
33.9
|
Not watered.
|
The average room air temperature \({T}_{room}\) for different specified time durations are tabulated in the Table 2. Analysis of this data could substantiate the usefulness of AGH in building cooling. For this, one should observe the average room air temperature for morning hours i.e., from 6AM to 12 noon. As mentioned earlier, the water was added to the roof ponds each day (second day onwards) around 12 noon and the effect of water left out in the roof ponds is significant during the next consecutive day morning hours. Let us consider 2nd and 3rd day as shown in the Figure. 6. After watering at around 12 noon on 2nd day, the drop in room air temperature in the case of both W-RP and AGH-RP was observed during 12 noon – 6pm, 6pm – 6am, and, 6am – 12 noon (i.e., on 3rd day). The drop in both the cases was almost same for 12 noon – 6pm duration (i.e., around 9.5oC to 11oC) as compared to that of NO-RP. Thereafter between 6pm – 6am, the temperature drop in the case of AGH-RP is relatively more than that in the case of W-RP i.e., by around 3.8oC to 4.4oC. It should be noted that No-RP was assumed as reference. During these 12 hours, there was no solar radiation. On the next consecutive day, it is interesting to note drop in temperature in the case of both W-RP and AGH-RP as compared to that of NO-RP. But the drop was higher in the case of AGH-RP around 3.5oC; whereas the same was around 0.7oC in the case of W-RP. This is attributed to the fact that water absorbed by the acacia gum due to watering on the previous day could evaporate due to solar radiation which in turn resulted in the temperature drop. On the other hand, the carried over water in W-RP also could evaporate but the solar heat absorbed in the process was negligible. The rate of evaporation of water was lower in the case of AGH-RP as compared to that in the case of W-RP. This was observed to be repeating for any given two consecutive days and is further tabulated in the same Table 2.
The rate at which the air temperature drops in the case of W-RP room and AGH-RP room was observed to be not being the same. This difference is attributed to the adding of acacia gum (AGH-RP room) in water. The temperature variations are discussed in 4 spells (refer Fig. 7): (i) From the time water was poured till the first minimum was noted, (ii) From the first minimum till the next peak was noted, (iii) From this peak till the time when W-RP / AGH-RP model room air temperature crosses the air temperature of the NO-RP room i.e., the reference model room with bare aluminium sheet roof was noted, and, (iv) Thereafter till the time when the water was poured for the next cycle.
The first spell may be divided into two halves. During the first half of the duration (till evening), the air temperature of the W-RP room starts dropping faster than that of the AGH-RP room. This can be due to the fact that the acacia gum based hydrogel has higher solar absorptivity as compared to that of water. As the solar radiation drops during evening, the AGH could lose heat energy by sky radiation apart from the latent heat loss due to evaporation. This radiation heat loss is also possible from the water surface (W-RP room) but is relatively less, resulting in higher air temperature inside the room in the evening - second half of the first spell. At the end of the first spell, the air temperature attains to a value which is the lowest during that spell.
The 2nd spell is interesting and is not well understood in the present study. This starts from the lowest air temperature noted during the first spell. During this 2nd spell, the air temperature inside both W-RP and AGH-RP rooms were observed to increase by 3.5℃ and 4℃ respectively during late evening between 8PM and 11PM. With all the side walls and floor being adiabatic, there are two possibilities due to which this increase in temperature was observed: (a) difference in specific heat of water and AGH, and, (b) temporary arrest in evaporation due to the adverse outside air temperature and relative humidity conditions. However, further experiments are required to substantiate the above mentioned attribution.
In the third spell, the air temperature of all the three rooms keep reducing till early morning and start increasing as the solar radiation increases thereafter. It should be noted that the air temperature of the AGH-RP room was observed to attain lowest temperature followed by W-RP room and then NO-RP room. The rates at which the room temperatures rise are not the same. The W-RP and AGH-RP room air temperatures start rising faster and between 9AM and 10AM they cross the NO-RP room air temperature. This is again attributed to the higher solar absorptivity of aluminium surface of W-RP (due to mineral deposition after water dries off) and AGH-RP than that of bare aluminium sheet roof of NO-RP room.
During the fourth spell, the air temperatures of the three model rooms simply rise due to increase in solar radiation. It is important to note that the AGH-RP room air temperature was observed to be lower than that of both W-RP and NO-RP model rooms. This is attributed to the continued evaporative cooling in the case of AGH-RP room. The water present in the AGH could evaporate due to the solar radiation and the surrounding unsaturated air. This evaporative cooling is due to the water which was poured on the previous day. Around 2.5oC difference between the AGH-RP and W-RP room air temperatures and around 1.5oC difference between AGH-RP and NO-RP room air temperatures during this fourth spell were observed. This phenomenon of slow evaporation from AGH can be used to carryover the water for evaporation with time lag. This continues until water was poured again in the roof ponds of W-RP and AGH-RP rooms. Thereafter, these four spells repeat.
Slow evaporation from the AGH
Pictures of the roof ponds were taken using a simple 3MP mobile phone camera before and after water was added on two consecutive days and are as shown in Fig. 8. In the case of AGH formation of thin film layer was observed. This porosity in the thin film formed could allow the water to evaporate. While the W-RP was found almost dry, the finger impressions in the case of AGH-RP are evident that there was considerable amount of water trapped in the AGH below the film formed as shown in Fig. 9. Hence the authors attribute the formation of this thin film layer for the slow evaporation in the case of AGH. Similar observations were also reported in30–34. However, some more rigorous experiments may be carried out to understand the formation of thin layer and is out of the scope of present work.
Second set of experiments. As mentioned earlier, all the roof ponds were maintained dry from 27th March 2021 to 29th March 2021. This second set of experiments was carried out to check the influence of dry acacia gum and roof pond edges on the room air temperature. The roof ponds of W-RP and AGH-RP had around 33.8% of the total surface area of the aluminium sheet was used as edges of the roof ponds. On the other hand, the same size aluminium sheet was used flat over the NO-RP model roof (Fig. 1). The model room air temperatures were observed to be similar on all the days as shown in Fig. 10.
Similar to Table 2, the average room air temperature was analysed for morning hours – 6am to 12 noon, afternoon hours – 12 noon to 6pm, evening/night hours – 6pm to 6am. The average temperature during the morning hours was observed to be higher for W-RP by around 1oC (or less) as compared to that of NO-RP model room. Whereas in the case of AGH-RP, the average temperature was found to either remain same or lower by around 0.9oC (or less). Similarly during afternoon hours, the dry roof pond of both AGH-RP and W-RP model rooms resulted in temperature increase by around 0.1oC to 1oC respectively and consistently as compared to that of NO-RP. This shows that the roof ponds with total edge surface area around 33.8% can increase the average room air temperature by around 1oC. This could be due to two reasons. One is the drop in wind velocity near the horizontal flat surface due to the edges. This can significantly reduce the convection heat transfer coefficient near the horizontal base of the roof pond. The other reason could be reflection of solar radiation from the edge surfaces to the horizontal base of the roof pond. This can further add the solar heat which can in turn increase the room air temperature. The latter mentioned reason was found to be more substantial by analysing the average room air temperature during the evening/night hours i.e., 6pm – 6am (refer Table 3). It was interesting to note that the average room air temperature was lower in the case of W-RP and AGH-RP model rooms. In particular, AGH-RP model room exhibited lowest room air temperature (around 1oC – 2oC). It should be noted that the dry AGH being dark in colour with relatively higher emissivity can result in higher heat loss to the sky during night hours. Hence, the radiation heat exchange between the edges and the roof pond base is significant.
Table 3
Average room air temperature for model rooms (Second set of experiments). No watering was done from 27th to 29th March.
Time (Date)
|
Average Room Air Temperature in ℃
|
NO-RP
|
W-RP
|
AGH-RP
|
6:00 AM (27-03-21) to 12:00 PM (27-03-21)
|
30.8
|
31.4
|
30.8
|
12:00 PM (27-03-21) to 6:00 PM (27-03-21)
|
42.9
|
43.8
|
43.3
|
6:00 PM (27-03-21) to 6:00 AM (28-03-21)
|
27.8
|
26.8
|
26.0
|
6:00 AM (28-03-21) to 12:00 PM (28-03-21)
|
31.8
|
31.7
|
30.9
|
12:00 PM (28-03-21) to 6:00 PM (28-03-21)
|
42.6
|
43.6
|
42.8
|
6:00 PM (28-03-21) to 6:00 AM (29-03-21)
|
27.8
|
27.1
|
26.5
|
6:00 AM (29-03-21) to 12:00 PM (29-03-21)
|
31.7
|
32.5
|
31.7
|
12:00 NOON (29-03-21) to 6:00 PM (29-03-21)
|
43.3
|
44.2
|
43.4
|
6:00 PM (29-03-21) to 6:00 AM (30-03-21)
|
28.2
|
27.5
|
27.0
|
6:00 AM (30-03-21) to 12:00 NOON (30-03-21)
|
31.3
|
31.8
|
31.4
|