3.1. Cool water circulation sunshade
The effect of circulating water that is cooler than the air temperature in summer, such as in rivers and oceans, to reduce the temperature rise of solar radiation shields was studied. In particular, a cooler sunshade was proposed by circulating cold water on the sunshade panel surface before returning it to the aquifer of a cooling system that uses aquifer heat storage [
13,
14].
Figure 4 shows the hourly air and dew point temperatures observed at the Osaka meteorological observatory from April to October 2020. The black plots are measurements taken between 9:00 and 17:00. Since condensation occurs at temperatures below 25 °C during the summer daytime, the circulating water temperature for sunshade panels is assumed to be 25 °C in practical operation.
Since the surface temperature of the sunshade without cold water circulation is calculated by equation (2), the equivalent outside temperature
Te [°C] of the sunshade with cold water circulation is expressed by equation (14), and the cold water outlet temperature
Tout [°C] relative to the cold water inlet temperature
Tin [°C] and the heat loss from the sunshade panels
Q [W/m
2] are calculated by equations (15) and (16).
where
K is the heat loss coefficient of the sunshade [W/(m
2K)],
As is the area of the sunshade [m
2],
C is the specific heat of water [J/(kgK)], and
G is the circulating water flow rate [kg/s]. The meteorological data were obtained from the Osaka meteorological observatory from April to October 2020.
Figure 5 shows the calculation result of outlet temperature Tout , when the cold water inlet temperature
Tin = 25 °C, the area of the sunshade
As = 100 m
2, the circulating water flow rate
G = 1 kg/s (= 60 l/min), the solar radiation absorptance of the sunshade
a = 0.3, emissivity of the sunshade
ε = 0.9, the heat loss coefficient of the sunshade
K = 3 W/(m
2K). The outlet temperature
Tout increased to 26.5 °C, +1.5 °C compared to the inlet temperature
Tin = 25 °C during the daytime (red plots) due to absorption of solar radiation and dissipation of heat to the surrounding air (the heat loss from the sunshade panels
Q = 60 W/m
2 at maximum), while it decreased to 23.5 °C (
Tin - 1.5 °C) during the nighttime (blue plots) due to radiative cooling and dissipation of heat to the surrounding air. If a sufficient amount of water is supplied, the sun shade surface temperature is almost the same as the water supply temperature.
Figure 6 shows the calculation results of outlet temperature
Tout when the sunshade area
As, the circulating water flow rate
G, the solar radiation absorptance of the sunshade
a and the heat loss coefficient of the sunshade
K are changed, in the case air temperature is 15, 20, 25, 30, 35 °C. The heat dissipation per unit area did not change when the sunshade area
As was varied in the range shown in the horizontal axis of
Figure 6, and was about -32.2, 3.7, and 39.7 W/m
2 at 15, 25, and 35 °C of outdoor air temperatures, respectively. The sunshade area
As has a linear effect on the increase in outlet temperature
Tout. The change in outlet temperature
Tout is smaller as the circulating water flow rate
G increases in the range shown in the horizontal axis of
Figure 6. A stable cooling effect can be obtained if the circulating water flow rate
G is kept above 1.0 kg/s, which is the reference value. The outlet temperature
Tout increases as the solar radiation absorptance
a increases in the range shown in the horizontal axis of
Figure 6. At an outside air temperature of 35 °C,
Tout = 26.0 °C for the reference condition
a = 0.3, while
Tout = 25.7 °C for white
a = 0.1 and
Tout = 26.6 °C for black
a = 0.9. The outlet temperature
Tout increases as the heat loss coefficient of the sunshade
K increases in the range shown in the horizontal axis of
Figure 6. At an outside air temperature of 35 °C,
Tout = 26.0 °C for the reference condition
K = 3 W/(m
2K), while
Tout = 25.3 °C for
K = 1 W/(m
2K) and
Tout = 26.6 °C for
K = 5 W/(m
2K). In conclusion, it can be considered that if adequate circulating water flow rate
G is provided within the expected sunshade area
As, the effect of the cool water circulation sunshade can be achieved, although it is slightly affected by solar radiation absorptance
a, emissivity
ε, and heat loss coefficient
K.
Based on the above conditions, the
MRT is calculated using equation (1) and is shown in
Figure 7. The
MRTs in the case of no cool water circulation are organized in relation to the solar transmittance
τ and absorptance
a of the sunshade, in the case that evaporation on sunshade
E = 0, view factor between sunshade and human body
Φ = 0.3. Plots are shown for sunshades with 18 °C to 38 °C cool water circulating over them. A sunshade with cool water circulating at 25 °C is slightly more effective than a white sunshade. Cool water circulation sunshade may have potential as an adaptation to the heat if the supply of cool water as a renewable energy source is readily available [
15].
3.2. Adverse effects of reflective pavements on the human thermal environment
Figure 8 shows the infrared radiation
εσTs4 [W/m
2] from the ground surface calculated by ground surface heat budget equation (equation (4)) by changing the solar reflectance
ρ on the ground surface. Emissivity
ε, thermal conductivity
λ, and heat capacity
cpgγg were assumed to be 0.95, 0.74 W/(mK), and 2,056 kJ/(m
3K), respectively, assuming asphalt. Observed data at the Osaka meteorological observatory from July 1 to September 30, 2020, were given for the meteorological conditions. During the summer daytime, the ground surface temperature on the black surface exceeds 60 °C, so the infrared radiation may exceed 700 W/m
2. Calculations were conducted for evaporative efficiency
β = 0.15 and solar reflectance
ρ = 0.2, assuming a watering on the road. In this case, infrared radiation from the ground surface is comparable to that from the light-colored surface.
Figure 9 shows
MRTs for various human body’s solar absorptance
ah by changing solar reflectance
ρ on ground surface, from July 1 to September 30, 2020 at Osaka meteorological observatory. Since the human body is strongly affected by reflected solar radiation from the ground surface when human body’s solar absorptance
ah is large,
MRT is high on the ground surface where solar reflectance
ρ is high. In other words, highly reflective cool pavement is not recommended when people are not wearing bright clothing. When the human body’s solar absorptance
ah is below 0.25, this means that the adverse effects of reflected solar radiation from the ground surface are not confirmed when people wear white clothing. However, in this case, the increase in reflected solar radiation associated with the increase in ground surface solar reflectance and the decrease in infrared radiation associated with the decrease in surface temperature are almost offset. Therefore, although the adverse effects of reflected solar radiation can be avoided if people wear white clothing, changing to a highly reflective cool pavement cannot improve the thermal environment of human body. However, as shown in
Figure 9 (d), when the reflected solar radiation from the ground surface is zero, the highly reflective cool pavement is effective even if people wear dark-colored clothing. If highly reflective pavement surfaces that reflect only in specific directions, even when subject to abrasion by vehicles and people, can be easily introduced, there is potential for highly reflective cool pavement not only as a heat island mitigation measure, but also as an adaptation measure. However, in the present conditions, when high reflectance paint is applied to asphalt pavement surfaces, which are composed of aggregates with various shapes, the reflected solar radiation is reflected in various directions. Compared to the directional reflection ground surface case, the
MRT reduction effect is greater when the person is under a sunshade such as a parasol, as shown in
Figure 9 (e). It is essential to promote public knowledge of the importance of more personal clothing and sun-shading umbrella. Note that the view factors are 0.5 for the upper sky and the ground surface, and changing to 0.3 for the sunshade (0.2 for the upper sky).
3.3. Mist splay effects on the human body
Assuming that all the sprayed water evaporates in
V = 0.5 x 0.5 x 0.5 [m
3] and the air is exchanged at horizontal wind velocity of 1.0 [m/s], then
Δθa = 2,500
Q/(1.0 x 1,200 x 1.0 x 0.5 x 0.5) = 8
Q [K] from equation (12). If the spray rate
Q = 1.0 [g/s] (= 60 [ml/min]),
Δθa = -8 [K],
ΔXa = +3.2 [g/kg’] around the spray outlet. The air cooled and humidified by the mist spray is advected and diffused into the surrounding area. Those conditions are generally governed by the airflow field, except for the buoyancy effect due to temperature differences. Therefore, when the airflow field (
u,
v,
w: wind velocity components [m/s],
K: turbulent diffusion coefficient [m
2/s] in equation (17)) obtained by CFD is given, the following advection-diffusion equation (equation (17)) are used to calculate the air temperature and humidity distributions (
φ=
θa,
Xa).
The effect on the human thermal environment depends on the distance from the mist spray point to the human body and on the airflow conditions. Similar to mist spraying, in the case of airflow fans and outdoor cooling devices, the outlet temperature, humidity, and wind velocity from these devices are also defined, and their effects depend on the distance to the human body and the airflow conditions.
Figure 10 shows the calculation results of air temperature and humidity vertical cross section distribution when mist is sprayed under the above assumptions for three typical public spaces (station plaza, park and bus stop) where people stay. It is calculated by the so-called box model with mesh sizes of 0.5 m, 0.5 m, and 0.5 m. The airflow distribution is provided by calculation results that take into account the building geometry using CFD [
6]. The mist spraying effect can be evaluated under various conditions by changing the positional relationship between the mist spraying point and the human body, as well as the mist spraying rate. At station plaza and a bus stop where mist is sprayed from 3 and 4 meters above the ground, the cooling effect does not reach the human body on the ground due to the advection of the incoming wind, whereas at a park where mist is sprayed from 0.65 m above the ground, the cooling effect reaches the human body on the ground.