A Study on the Inﬂuence of the Next Generation Colored Inorganic Geopolymer Material Paint on the Insulation Measurement of Concrete Building Shell

: Many studies have shown that paint with reﬂective heat can effectively reduce the temperature of the building envelope and reduce the future energy consumption of the building. This study inspired the next-generation inorganic geopolymer material (IGM) color paint without volatile matter, which could be applied on concrete surfaces to reduce energy consumption in warm seasons. In this study, a total of ﬁve insulating IGM paints, white, red, green, blue, and yellow, were applied to a 50 cm × 50 cm × 12 cm concrete slab top surface. The highest average light reﬂectance of all the paints was 87.5% of white IGM paint, which was higher than plain concrete (36.4%). The heat ﬂux and surface temperature were examined in the laboratory, and those test results were veriﬁed outdoor. The results showed that the IGM paints could effectively reduce the surface temperature and heat ﬂux of the upper and lower surfaces of concrete slabs, and the white colored IGM paint was the best performer among all ﬁve colors, whereas the heat storage coefﬁcient ( S f ) of red, white, yellow, blue, and green IGM painted concrete slabs were 0.57, 0.53, 3.62, 2.95, and 1.91 W · m − 2 · K − 1 , respectively, lower than plain concrete (24.40 W · m − 2 · K − 1 ). This coefﬁcient was presented to exter-nalize the thermal admittance. The overall measurement results showed that the concrete slab with colored IGM paints had better heat insulation ability than the plain concrete slab, especially in white IGM paint. a measurement value of the solar radiation after passing through the atmosphere to the concrete surface. The upper surface of the concrete slab came in contact with the solar irradiance; part of irradiance was ﬁrst reﬂected by the surface material, and the rest of the radiance was then converted to thermal energy and absorbed by the concrete slabs. The heat ﬂux and temperature were two common physical behaviors of heat absorption.


Introduction
The problem of global warming caused by greenhouse gas emissions has continued to worsen in the last few decades. In hot seasons, the demand for air conditioners is increasing. Such demand is boosting the human consumption of energy, with carbon emissions swelling, which has intensified global warming. Without effective reduction of greenhouse gas emissions, the Earth will face unimaginable consequences. Thus, improving energy efficiency and reducing energy dependency are crucial and can be accomplished by effectively managing the use of energy or through insulation. The thermal capacity of building concrete envelope emerged and became one of the most important factors for urban energy balance, which could extensively affect the Urban Heat Island (UHI) in the urban climate [1,2]. It is also a key element to obtain sustainable cities and communities.
In addition to the traditional low thermal conductivity insulating bricks, the materials used for the energy-saving and heat-insulating improvement of the building shells are gradually introduced into the paints with thermal insulation effects. With light-reflective paints' effective insulation technology, many studies have shown that the light reflectance The light reflectivity possessed an important effect on the reduction of building energy consumption and surface temperature reduction, which was measured with the UV/VIS/NIR Spectrometer (LAMBDA 900, PerkinElmer Inc., Waltham, MA, USA) based on ASTM E1331-15, as shown in Figure 1. The spectrometer was used to measure the reflectivity of five colored IGM paint surfaces with the paint on the top of the steel plate (50 mm × 50 mm) with a thickness of 0.3 mm. The light reflectivity measurements of all five colored IGM paint surfaces and a plain concrete surface were repeated three times. The light source was separated by a diffraction grating and then irradiated into the paint sample through the instrument, and the light reflectance was measured according to the magnitude of the current. It could accurately measure visible light (VL, wavelength 390-700 nm), near-infrared radiation (NIR, wavelength 700-2000 nm), and the accuracy of reflective light grating in spectral ranges was 1 nm. The measurement underwent qualitative analysis and relatively reflectance relative to the preset values of the spectrometer in this article. According to the reference, the hemispherical solar irradiance on a 37 • tilted surface (W·m −2 ·nm −1 ) between 390 nm to 2000 nm was 91.60% of 280 nm to 4000 nm [25].
The light reflectivity possessed an important effect on t ergy consumption and surface temperature reduction, wh UV/VIS/NIR Spectrometer (LAMBDA 900, PerkinElmer Inc. on ASTM E1331-15, as shown in Figure 1. The spectrometer flectivity of five colored IGM paint surfaces with the paint on mm × 50 mm) with a thickness of 0.3 mm. The light reflectiv colored IGM paint surfaces and a plain concrete surface we light source was separated by a diffraction grating and then i ple through the instrument, and the light reflectance was mea nitude of the current. It could accurately measure visible lig nm), near-infrared radiation (NIR, wavelength 700-2000 nm tive light grating in spectral ranges was 1 nm. The measure analysis and relatively reflectance relative to the preset valu article. According to the reference, the hemispherical solar i face (W·m −2 ·nm −1 ) between 390 nm to 2000 nm was 91.60% of

Laboratory Measurement of Heat Flux and Temperature
A total of seven 50 × 50 × 12 cm concrete slabs were p thermal insulation performance measurements; each concret layers of IGM paints with a total thickness of 0.3 mm. The was 2592 kg/m 3 . The seven test concrete slabs included one each painted in white, red, green, blue, and yellow IGM pain ganic paint (white paint (com'l)). The IGM powder was a ru (TiO2) component with a heat-insulating reflection effect, a allowed it to produce various colors by adding different me

Laboratory Measurement of Heat Flux and Temperature
A total of seven 50 × 50 × 12 cm concrete slabs were prepared for the laboratory's thermal insulation performance measurements; each concrete slab was painted with two layers of IGM paints with a total thickness of 0.3 mm. The density of the concrete slabs was 2592 kg/m 3 . The seven test concrete slabs included one plain concrete and six others each painted in white, red, green, blue, and yellow IGM paint, and commercial white organic paint (white paint (com'l)). The IGM powder was a rutile type of titanium dioxide (TiO 2 ) component with a heat-insulating reflection effect, and it was permeable, which allowed it to produce various colors by adding different metal oxide pigments. The test used an IGM powder mix which contained 6% colorant and alkali liquid, which included water, silicate solution, alkali salt, and silicon dioxide (SiO 2 ). The weight ratio of the mixed powder to liquid was 1:1, and it was uniformly mixed to form a heat-insulating material for paint.
Because solar irradiance contains 44% visible light and 53% infrared radiation, three 500 W halogen lamps and one 600 W infrared lamp were used to simulate the total irradiance of VL and NIR that emit to the concrete buildings. The heights of the lighting devices were erected to 20 cm for the halogen lamps and to 35 cm for the infrared lamp, respectively. The irradiance of the visible light and infrared radiation were 609 W/m 2 and 775 W/m 2 , respectively; the overall irradiance was 1384 W/m 2 in this experiment measurement. As a reference, in the Taipei area, the highest solar irradiance ever recorded in the recent ten years inferred to the Central Weather Bureau in Taiwan was 1409.7 W/m 2 at 1 p.m. on 10 July 2020. The heat flow patch (PHFS-01e, FluxTeq, Blacksburg, VA, USA) and the thermocouple (K-type, model TPK-01BN, TECPEL, New Taipei City, Taiwan) were attached to both the front and back sides of the concrete slab, and the heat flux and surface temperature of the upper and lower portions were measured. The schematic diagram of the heat flux, lamps, and surface temperature measurement and the test setup photo are shown in Figure 2a,b, respectively. Thermal insulation performance measurements of the seven concrete slabs were repeated three times in the laboratory.

PEER REVIEW 4 of 18
Because solar irradiance contains 44% visible light and 53% infrared radiation, three 500 W halogen lamps and one 600 W infrared lamp were used to simulate the total irradiance of VL and NIR that emit to the concrete buildings. The heights of the lighting devices were erected to 20 cm for the halogen lamps and to 35 cm for the infrared lamp, respectively. The irradiance of the visible light and infrared radiation were 609 W/m 2 and 775 W/m 2 , respectively; the overall irradiance was 1384 W/m 2 in this experiment measurement. As a reference, in the Taipei area, the highest solar irradiance ever recorded in the recent ten years inferred to the Central Weather Bureau in Taiwan was 1409.7 W/m 2 at 1 PM on 10 July 2020. The heat flow patch (PHFS-01e, FluxTeq, Blacksburg, VA, USA) and the thermocouple (K-type, model TPK-01BN, TECPEL, New Taipei City, Taiwan) were attached to both the front and back sides of the concrete slab, and the heat flux and surface temperature of the upper and lower portions were measured. The schematic diagram of the heat flux, lamps, and surface temperature measurement and the test setup photo are shown in Figure 2a,b, respectively. Thermal insulation performance measurements of the seven concrete slabs were repeated three times in the laboratory.

Outdoor Measurement of Heat Flux and Temperature
The seven concrete slabs were placed on the rooftop of the Civil Engineering building at the National Taipei University of Technology to simulate an outdoor condition with the ambient temperature at about 30 °C, then, the heat flux and temperature on the upper and lower surface of the painted concrete and the plain concrete specimens were measured and recorded throughout the experiment. In the meantime, the ambient temperature, wind speed, and humidity of the weather were recorded, and the solar irradiance was measured by a pyranometer. After comparing the five colored IGM paint concrete slabs with the commercial white paint and the plain concrete slabs, the thermal insulation performance results were obtained within a 24-h time frame in this outdoor experiment.

Outdoor Measurement of Heat Flux and Temperature
The seven concrete slabs were placed on the rooftop of the Civil Engineering building at the National Taipei University of Technology to simulate an outdoor condition with the ambient temperature at about 30 • C, then, the heat flux and temperature on the upper and lower surface of the painted concrete and the plain concrete specimens were measured and recorded throughout the experiment. In the meantime, the ambient temperature, wind speed, and humidity of the weather were recorded, and the solar irradiance was measured by a pyranometer. After comparing the five colored IGM paint concrete slabs with the commercial white paint and the plain concrete slabs, the thermal insulation performance results were obtained within a 24-h time frame in this outdoor experiment. Figure 3 demonstrates the outdoor setup of the concrete slabs including the pyranometer, heat flux sensor, and surface thermograph.   Figure 4 showed the upper and lower heat fluxes and tem and heat storage behavior of the concrete slab. In this study, sola urement value of the solar radiation after passing through the atm surface. The upper surface of the concrete slab came in contact w part of irradiance was first reflected by the surface material, and was then converted to thermal energy and absorbed by the conc and temperature were two common physical behaviors of heat a   Figure 4 showed the upper and lower heat fluxes and temperatures, heat transfer, and heat storage behavior of the concrete slab. In this study, solar irradiance was a measurement value of the solar radiation after passing through the atmosphere to the concrete surface. The upper surface of the concrete slab came in contact with the solar irradiance; part of irradiance was first reflected by the surface material, and the rest of the radiance was then converted to thermal energy and absorbed by the concrete slabs. The heat flux and temperature were two common physical behaviors of heat absorption.

Heat Absorption, Conduction, and Storage
x FOR PEER REVIEW 5 of 18  Figure 4 showed the upper and lower heat fluxes and temperatures, heat transfer, and heat storage behavior of the concrete slab. In this study, solar irradiance was a measurement value of the solar radiation after passing through the atmosphere to the concrete surface. The upper surface of the concrete slab came in contact with the solar irradiance; part of irradiance was first reflected by the surface material, and the rest of the radiance was then converted to thermal energy and absorbed by the concrete slabs. The heat flux and temperature were two common physical behaviors of heat absorption. According to thermodynamics, the thermal capacity was defined by the quantity of heat or energy a subject needed to increase a unit temperature change. It was related to the specific heat capacity and mass of the subject as in Equation (1). According to some research [26,27], the heat ( ) change in the system was related to the temperature change, subject mass, and its specific heat capacity. The quantity of heat in absorption and conduction and the specific heat capacity of the subject were hard to measure; thus, Fourier's law of interface heat transfer was used to deduce the heat flux, reception surface area, and reception time length are shown in integral form of Equation (2): According to thermodynamics, the thermal capacity was defined by the quantity of heat or energy a subject needed to increase a unit temperature change. It was related to the specific heat capacity and mass of the subject as in Equation (1). According to some research [26,27], the heat (Q) change in the system was related to the temperature change, subject mass, and its specific heat capacity. The quantity of heat in absorption and conduction and the specific heat capacity of the subject were hard to measure; thus, Fourier's law of interface heat transfer was used to deduce the heat flux, reception surface area, and reception time length are shown in integral form of Equation (2):

Heat Absorption, Conduction, and Storage
where C is heat capacity (J·K −1 ); Q represents the heat or energy added or subtracted into the system (J); ∆T is temperature changes (K); m is the mass of the concrete slab (kg); and C s is specific heat capacity (J·kg −1 ·K −1 ). In Equation (2), T 0 and T x are the initial and final temperatures (K); F(t) is the heat flux (W·m −2 ); t 0 and t x are the initial and final time (s), respectively, and A is the area between concrete and ambient air boundary (m 2 ). From Equations (1) and (2), the specific heat capacity C s of the subject could be rebuilt based on the heat flux, as shown in Equation (3): Equation (4) defined the relationship between the heat flux, the thermal conductivity coefficient, and the temperature gradient as in Fourier's law in one dimension [28][29][30]. Regarding Equation (4), the thermal conductivity coefficient can be calculated by heat flux, thickness, and temperature variation of concrete specimens, as shown in Equation (5): where L is the thickness of concrete slab (m), and k is the thermal conductivity coefficient. Moreover, the heat storage coefficient that had been studied in the past was used here to clarify the heat storage ability in heat transfer processes as in Equation (6) [31] with unit W·m −2 ·K −1 ·s 0.5 and Equation (7) [32] with unit W·m −2 ·K −1 : where S is heat storage coefficient (W·m −2 ·K −1 ·s −0.5 ); S f is the quantity of heat storage coefficient effect of periodic fluctuation (W·m −2 ·K −1 ). It was assumed that the thermal conductivity of the concrete slab was constant, and the heat transfer within the concrete was linear. Under such assumption, the heat storage coefficient of the tested concrete slabs for 20 h in the laboratory was defined as S and S f as in Equations (10) and (11), which described the heat absorption and its release based on the heat flux and temperature differences (Equations (8) and (9)). As a result, the heat storage coefficient S f of painted and plain concrete slabs was presented: where F upper is the heat flux from paint to concrete slab under the light (W·m −2 = J·m −2 ·s −1 ); F lower is the heat flux from the back of concrete to the ambient (W·m −2 = J·m −2 ·s −1 ); T mean is the mean temperature in concrete under a linear gradient that changed over time (K); T ambient is the ambient temperature that changed over time (K).

Light Reflectance Measurement Results
From the studies, the light reflectance of commercial organic white paints could reach 80 to 86% [4,12]. The rest, including the light reflectance measurement results of the five colored IGM painted surfaces and the plain concrete, were shown in Figure 5 and Table 1. As shown in Figure 5 and Table 1, the first finding indicated that between the SR (390-2000 nm) spectral range, the average light reflectance of the white IGM painted surface reached 87.5%, followed by yellow, blue, green, and red IGM paints, and the plain concrete was 36.4%. The second finding indicated that IGM was tested higher in the light reflectance values of NIR than in VL. is the mean temperature in concrete under a linear gradient that changed over time (K); is the ambient temperature that changed over time (K).

Light Reflectance Measurement Results
From the studies, the light reflectance of commercial organic white paints could reach 80 to 86% [4,12]. The rest, including the light reflectance measurement results of the five colored IGM painted surfaces and the plain concrete, were shown in Figure 5 and Table  1. As shown in Figure 5 and Table 1, the first finding indicated that between the SR (390-2000 nm) spectral range, the average light reflectance of the white IGM painted surface reached 87.5%, followed by yellow, blue, green, and red IGM paints, and the plain concrete was 36.4%. The second finding indicated that IGM was tested higher in the light reflectance values of NIR than in VL.

Laboratory Heat Flux Measurement Results
For 20 h, the upper surface of all seven concrete specimens were shined under both halogen lamp (visible light, VL) and near-infrared lamp (NIR) simultaneously. Figure 6 showed the heat flux changes in both the upper surface and lower surface of the seven concrete slab specimens over time. Table 2 showed the heat flux changes in both the upper surface and lower surface of the seven concrete slab specimens in the 20th hour. In short, IGM painted specimens showed lower heat flux in both charts.

Laboratory Heat Flux Measurement Results
For 20 h, the upper surface of all seven concrete specimens were shined under both halogen lamp (visible light, VL) and near-infrared lamp (NIR) simultaneously. Figure 6 showed the heat flux changes in both the upper surface and lower surface of the seven concrete slab specimens over time. Table 2 showed the heat flux changes in both the upper surface and lower surface of the seven concrete slab specimens in the 20th hour. In short, IGM painted specimens showed lower heat flux in both charts.  In detail, the results of the heat fluxes of the specimens stated that the IGM paint was more effective in blocking the heat created by the halogen lamp and the infrared lamp compared to the commercial white paint and to the plain concrete in the upper surface. The lower surfaces showed similar results regarding the IGM paint, the commercial white  In detail, the results of the heat fluxes of the specimens stated that the IGM paint was more effective in blocking the heat created by the halogen lamp and the infrared lamp compared to the commercial white paint and to the plain concrete in the upper surface. The lower surfaces showed similar results regarding the IGM paint, the commercial white paint, and then the plain concrete. Note that the lower surfaces of the seven specimens were not painted. In other words, the results proved that the IGM paint had a better heat barrier property that could effectively reflect the radiant of the portion it covered and slowed the heat flow into the lower surface of the concrete slabs as well.  paint, and then the plain concrete. Note that the lower surfaces of the seven specimens were not painted. In other words, the results proved that the IGM paint had a better heat barrier property that could effectively reflect the radiant of the portion it covered and slowed the heat flow into the lower surface of the concrete slabs as well. Figure 7 showed the duration of the temperature changes of both the upper and the lower surface of concrete specimens under the illumination of a halogen lamp and infrared lamp in the laboratory, and Table 3 showed the measured values of the steady-state temperature of the upper and lower surfaces under the same settings.    All seven concrete specimens were irradiated under the halogen lamp and the infrared lamp, and the temperature of each concrete slab specimen's upper surface was measured and shown in Figure 7a and Table 3. The lowest temperature measured was the concrete slab painted with the yellow IGM paint, followed by the ascending order of white IGM, white paint (com'l), red IGM, green IGM, and blue IGM plain concrete specimens. In comparison, the lower surface temperature of each concrete slab specimen was also measured, and the lowest temperature was the white painted concrete slab specimen, followed by the red IGM, white paint (com'l), yellow IGM, blue IGM, green IGM, and then the plain concrete specimens in an ascending order in Figure 7b and Table 3.

Laboratory Surface Temperature Measurement Results
In the concrete slabs under the illumination of the light source experiment, the white IGM paint had the best thermal insulation ability of all the colored IGM paints, and it was superior to the commercially available white paint and plain concrete. In general, the thermal insulation abilities of the painted concrete specimens were all better than the plain concrete. Figure 8 showed the temperature drop gradation of the specimens to describe the heat release of paint concrete slabs when the lamps were turned off. Each slope showed the gradation in temperature changes for each concrete specimen from their starting temperature (after 20 h of the illumination) until 30 min later. All seven concrete specimens were irradiated under the halogen lamp and the infrared lamp, and the temperature of each concrete slab specimen's upper surface was measured and shown in Figure 7a and Table 3. The lowest temperature measured was the concrete slab painted with the yellow IGM paint, followed by the ascending order of white IGM, white paint (com'l), red IGM, green IGM, and blue IGM plain concrete specimens. In comparison, the lower surface temperature of each concrete slab specimen was also measured, and the lowest temperature was the white painted concrete slab specimen, followed by the red IGM, white paint (com'l), yellow IGM, blue IGM, green IGM, and then the plain concrete specimens in an ascending order in Figure 7b and Table 3.

Laboratory Surface Temperature Measurement Results after Turn off the Light
In the concrete slabs under the illumination of the light source experiment, the white IGM paint had the best thermal insulation ability of all the colored IGM paints, and it was superior to the commercially available white paint and plain concrete. In general, the thermal insulation abilities of the painted concrete specimens were all better than the plain concrete. Figure 8 showed the temperature drop gradation of the specimens to describe the heat release of paint concrete slabs when the lamps were turned off. Each slope showed the gradation in temperature changes for each concrete specimen from their starting temperature (after 20 h of the illumination) until 30 min later. According to Figure 8, the upper surface temperature of the plain concrete was the worst among all specimens in cooling off, whereas the upper surface cooling rate of the IGM paints were over 1.72 °C·min −1 better than the plain concrete in the first 5 min of the 30 min cooling process. In addition to that, the heat release of the white IGM paint concrete slab was better than the commercial white paint concrete slab. Regarding the lower surface measurements, the cooling outcomes of the white and blue colors were the best. It showed that the painted concrete slabs could cool off more rapidly than the plain concrete slab. That is to say that the paint layer could effectively dissipate the heat stored inside the specimen.

Thermal Admittance Calculation and t-Test Analysis
Thermal admittance is an important index in describing the heat absorbing and releasing in relation to spaces of the building materials over time. In this article, the changes of the heat storage coefficient were used to label the thermal admittance. Table 4 showed the specific heat capacity and heat storage coefficient of the colored IGM paint specimens and the plain concrete specimen based on the laboratory test results. The plain concrete had the highest heat storage coefficient (Thermal Admittance), while the white IGM paint concrete specimen had the lowest. Evidently, IGM paint could reduce the quantity of the heat absorption of concrete. As the heat flux into a concrete specimen decreased, the heat storage coefficient decreased as well, and such an interaction is shown in Figure 9. The heat absorption accumulation increased as time continued; however, the decrease in the unit heat absorption quantity was found in the experiment as shown in Figure 10, which agreed with the concept of when the heat storage of a building concrete gradually decreased and the heat flux slowed under SR over time.  According to Figure 8, the upper surface temperature of the plain concrete was the worst among all specimens in cooling off, whereas the upper surface cooling rate of the IGM paints were over 1.72 • C·min −1 better than the plain concrete in the first 5 min of the 30 min cooling process. In addition to that, the heat release of the white IGM paint concrete slab was better than the commercial white paint concrete slab. Regarding the lower surface measurements, the cooling outcomes of the white and blue colors were the best. It showed that the painted concrete slabs could cool off more rapidly than the plain concrete slab. That is to say that the paint layer could effectively dissipate the heat stored inside the specimen.

Thermal Admittance Calculation and t-Test Analysis
Thermal admittance is an important index in describing the heat absorbing and releasing in relation to spaces of the building materials over time. In this article, the changes of the heat storage coefficient were used to label the thermal admittance. Table 4 showed the specific heat capacity and heat storage coefficient of the colored IGM paint specimens and the plain concrete specimen based on the laboratory test results. The plain concrete had the highest heat storage coefficient (Thermal Admittance), while the white IGM paint concrete specimen had the lowest. Evidently, IGM paint could reduce the quantity of the heat absorption of concrete. As the heat flux into a concrete specimen decreased, the heat storage coefficient decreased as well, and such an interaction is shown in Figure 9. The heat absorption accumulation increased as time continued; however, the decrease in the unit heat absorption quantity was found in the experiment as shown in Figure 10, which agreed with the concept of when the heat storage of a building concrete gradually decreased and the heat flux slowed under SR over time. Table 4. Calculation of specific heat capacity and heat storage coefficient at a steady-state condition (last 5 h average) under the light.   The cooling rate of the plain concrete slab was slower than the other painted concrete slabs. After the painted concrete slabs were illuminated by the light, some of the heat could be reflected first due to the influence of the paint layer. So, the heat absorbed by the test body was relatively reduced. In consequence of the lower amount of heat travelling to the lower surface, the temperature was lower in respect to the effect of the paint layer. This proved that the next generation of IGM paint has good reflective heat insulation and low heat storage capacity. If it could be effectively applied to the insulation of building    The cooling rate of the plain concrete slab was slower than the other painted concrete slabs. After the painted concrete slabs were illuminated by the light, some of the heat could be reflected first due to the influence of the paint layer. So, the heat absorbed by the test body was relatively reduced. In consequence of the lower amount of heat travelling to the lower surface, the temperature was lower in respect to the effect of the paint layer. This proved that the next generation of IGM paint has good reflective heat insulation and low heat storage capacity. If it could be effectively applied to the insulation of building The cooling rate of the plain concrete slab was slower than the other painted concrete slabs. After the painted concrete slabs were illuminated by the light, some of the heat could be reflected first due to the influence of the paint layer. So, the heat absorbed by the test body was relatively reduced. In consequence of the lower amount of heat travelling to the lower surface, the temperature was lower in respect to the effect of the paint layer. This proved that the next generation of IGM paint has good reflective heat insulation and low heat storage capacity. If it could be effectively applied to the insulation of building shells, it was believed that it would be able to improve the energy efficiency of urban buildings and reduce the energy consumption of all buildings.
According to the above experimental results above, the t-test analysis between the VL reflectance, SR reflectance, and heat storage coefficient of different-colored IGM paints and plain concrete were calculated in this study. The Pearson correlation coefficient (Pearson's R) between the reflectance of the SR, VL, NIR and heat storage coefficient (S f ) were about −0.763, −0.504, and −0.819, respectively; the t-values were about −1.313, −1.340, and −1.306, respectively. In addition, the p-value (one-tailed) were about 0.123, 0.119, and 0.124, respectively, and all the p-value were higher than 0.05. These results designated that the reflectance of the color paints might not be a primary effective factor of the thermal absorption of concrete. However, as stated by the results of the correlation coefficient, the light reflectance of color paints had the negative relationship with the heat storage coefficient that was crucial enough to affect the outcomes. According to physics, light is a major form of energy radiation; therefore, increasing the light reflectance was a good way to reduce the heat absorption of concrete. The results also indicate that IGM paints show a promising interaction between the NIR reflectance and the heat storage coefficient (S f ) since heat radiation was often presented as a type of infrared radiation. Namely, the NIR reflectance and the heat storage coefficient should be carefully considered and analyzed in thermal absorption obstruction assessments for painted concrete.

Outdoor Heat Flux and Surface Temperature Measurements
All concrete slabs were placed outdoors for 24 h to measure heat flux and temperature properties, and the results were presented in subsequent sections.

Outdoor Heat Flux Measurement Results
The heat fluxes of the upper and lower surfaces are shown in Figure 11. In addition, the solar irradiance is shown in Figure 12. Table 5 shows the maximum values of the upper surface and lower surface heat fluxes of concrete slabs over 24 h. The results indicate that the upper surface and lower surface heat fluxes of the painted specimens were lower than that of the plain concrete, even when the solar irradiance in the colored paint specimens was higher than in the plain concrete specimens according to the pyranometer. The white IGM paint had the best heat insulation performance among all specimens, while the plain concrete specimen had the poorest thermal insulation. The outdoor measurement results of all concrete specimens were similar to the laboratory measurement results in comparison. shells, it was believed that it would be able to improve the energy efficiency of urban buildings and reduce the energy consumption of all buildings. According to the above experimental results above, the t-test analysis between the VL reflectance, SR reflectance, and heat storage coefficient of different-colored IGM paints and plain concrete were calculated in this study. The Pearson correlation coefficient (Pearson's R) between the reflectance of the SR, VL, NIR and heat storage coefficient ( ) were about −0.763, −0.504, and −0.819, respectively; the t-values were about −1.313, −1.340, and −1.306, respectively. In addition, the p-value (one-tailed) were about 0.123, 0.119, and 0.124, respectively, and all the p-value were higher than 0.05. These results designated that the reflectance of the color paints might not be a primary effective factor of the thermal absorption of concrete. However, as stated by the results of the correlation coefficient, the light reflectance of color paints had the negative relationship with the heat storage coefficient that was crucial enough to affect the outcomes. According to physics, light is a major form of energy radiation; therefore, increasing the light reflectance was a good way to reduce the heat absorption of concrete. The results also indicate that IGM paints show a promising interaction between the NIR reflectance and the heat storage coefficient ( ) since heat radiation was often presented as a type of infrared radiation. Namely, the NIR reflectance and the heat storage coefficient should be carefully considered and analyzed in thermal absorption obstruction assessments for painted concrete.

Outdoor Heat Flux and Surface Temperature Measurements
All concrete slabs were placed outdoors for 24 h to measure heat flux and temperature properties, and the results were presented in subsequent sections.

Outdoor Heat Flux Measurement Results
The heat fluxes of the upper and lower surfaces are shown in Figure 11. In addition, the solar irradiance is shown in Figure 12. Table 5

Outdoor Surface Temperature Measurement Results
Sometimes, the sun was obscured by the clouds during the daytime, which would affect the solar irradiance and temperatures. The average temperature of the upper and lower surfaces and the solar irradiance of the tested specimens were compared. The results were divided into two time sections, one from 10:00 to 17:00 (daytime) and another from 19:00 to 5:00 (nighttime). Table 6 shows the average temperature and temperature changes of the upper surfaces of all seven specimens during the daytime. The white IGM paint had the lowest average temperature and the smallest changes of temperature, followed by the blue IGM, the green IGM, the commercial white, the red IGM, the yellow IGM, and the plain concrete had the highest average temperatures and the biggest temperature changes. Similarly, as seen in Table 6, the lower surface temperature differences of the six painted concrete slab specimens were all lower than the plain concrete. In Table 7, the nighttime average temperature of both the upper and the lower surfaces of the six painted concrete specimens were all lower than the plain concrete specimen. Moreover, the average temperature and temperature difference of the white IGM paint specimen had the lowest among the six painted specimens. Based on the data of the solar irradiance recorded in the experiment, the white IGM paint specimen had a lower solar irradiance than all the others due to the weather conditions.  In the outdoor measurement, the white IGM paint specimen had the best thermal insulation ability in all colors. The thermal insulation ability of the plain concrete had the poorest insulation ability among all specimens. These outdoor measurement results were similar to the laboratory measurement results. Regardless of either the laboratory or the outdoor measurements, the thermal insulation ability of the IGM-painted concretes were all better than the plain concrete and commercial paint concrete.

Conclusions
Solar radiation is the main heat source for most concrete building rooftops; therefore, finding out how to minimize the concrete's heat absorption and ameliorate the heat releas- ing of the concrete buildings has become crucial in order to achieve a greener building code. This study attempted to improve the light reflectivity of concrete surfaces with color IGM paints to reduce the heat absorption of concrete. Some conclusions of this study are stated as follows: 1.
The average light reflectance values of various color paint materials were obtained by the light reflectance test. In the range of 390-2000 nm, the highest average light reflectance value of all the covering materials was the white IGM at 87.5%, and the light reflectance of the plain concrete was 36.4%.

2.
It is known from the thermal insulation results in the laboratory that the IGM paint had good thermal insulation properties. Under the influence of environmental factors, the measurement results were inevitably challenged. Nevertheless, the results of the experiment were still considered to be objective under the circumstances. That is, under the irradiance of simulated sunlight, the thermal insulation performance of the concrete specimens painted with the IGM paints were better than the plain concrete specimen. 3.
Thermal admittance was described in place of the changes of the heat storage coefficient in this research. The results indicated that the IGM paints could reduce the quantity of heat absorption of the concrete slabs. The heat storage coefficient of red, white, yellow, blue, and green IGM-painted concrete slabs were 0.57, 0.53, 3.62, 2.95, and 1.91 W·m −2 ·K −1 , respectively, which were lower than the plain concrete specimen (24.40 W·m −2 ·K −1 ). Based on the changes of the heat storage coefficient over time, it was confirmed that the heat absorption of specimens through the IGM paints and then into the concrete under the light was slowed, and it was lower than the commercial white paint specimen and the plain concrete specimen.

4.
The results of outdoor measurement showed that the IGM painted specimens had good thermal insulation ability, and these results were similar to the measurement results in the laboratory. The concrete specimens painted with IGM had better thermal insulation performance than the plain concrete specimen. Furthermore, the thermal insulation performance of the white IGM paint was also better than the commercial white paint.

5.
Through various physical properties and thermal insulation measurement results, it was clear that the next generation of colored IGM paints had high reflectivity, good thermal insulation, and low heat storage capacity. The next generation of colored IGM paint could be applied to various building shells and especially to concrete building shells in sustainable cities and communities. Its strong and practical characteristics could effectively reduce the indoor temperature and attain an energy-saving effect in subtropics.  Institutional Review Board Statement: Not applicable.

Informed Consent Statement: Not applicable.
Data Availability Statement: Not applicable.

Conflicts of Interest:
The authors declare no conflict of interest.