Thermal Characteristics and Temperature Distribution of Asphalt Mixtures Containing Residues from Municipal Solid Waste Incineration

: As a sustainable substitute for non-renewable mineral resources and solid waste landﬁlling, municipal solid waste incineration residues (MSWIRs) are useful in road pavements. This study investigates the thermal characteristics and temperature distribution of ﬂexible pavements containing MSWIRs with hollow microsphere structures. First, the volumetric properties of asphalt mixtures containing MSWIR ﬁllers were measured. The effects of MSWIRs on the mixture’s physical characteristics were investigated in terms of thermal conductivity, speciﬁc heat capacity, and thermal diffusivity. A three-dimensional ﬁnite element model incorporating surface thermal conditions was established and validated to analyze the internal temperature distribution and heat transfer behavior within the asphalt. Finally, the high-temperature conditions of summer were simulated in an indoor irradiation test to evaluate the risk of heat islands in urban areas. The results showed that the mixture containing MSWIRs exhibited a higher speciﬁc heat capacity (from 0.8385 to 0.9554 J/(kg · K)) and lower thermal conductivity (from 1.4356 to 1.1362 W/(m · K)) than the reference mixture with lime-stone ﬁller. Therefore, it contributed to a lower heat ﬂux distribution within the pavement. However, the increase in asphalt surface temperature caused by MSWIRs may exacerbate the urban heat island effect in the summer, which should be considered before using road materials containing MSWIRs.


Introduction
Rapid economic development [1], human activity [2], and urbanization [3,4] generate billions of tons of solid waste in urban areas worldwide [5], and municipal solid waste incineration (MSWI) residues accompany this waste [6,7].Given their size distribution and chemical composition [8], the geotechnical properties of MSWIRs can increase recycling potential in construction when used as light fillers and aggregates [9].Therefore, the secondary use of MSWIRs as sustainable substitutes for solid waste landfilling [10,11] has been gaining increasing attention from civil engineers.Municipal solid waste undergoes a combustion and pulverization process at coal-fired power stations, where complex physical and chemical reactions occur [12] until the MSWI residues harden into fine-grained powder [13].High-temperature gases (mainly carbon dioxide and nitrogen) in the combustion furnace can cause the MSWIRs to expand violently [14], generating a lightweight [15,16] and hollow microsphere structure [17,18].
The thermal characteristics of construction materials determine their temperature variation and distribution, influencing the environment of urban areas [19,20].This thermal behavior affects the durability of building materials [21].As a typical viscoelastic-plastic material, asphalt is temperature-sensitive [22,23].Higher air temperatures and solar radiation in the summer result in more absorption and heat transfer energy in pavement [24,25].As a result, high temperatures worsen permanent deformation, rutting risk, and moisture damage [26,27].From this perspective, investigations of thermal properties and behavior are important for predicting and designing pavement materials and structures [28].As a composite material, asphalt contains different heat transfer channels because of its components (i.e., coarse aggregates, fillers, and asphalt) [29].Researchers have evaluated the effect of graphite on the thermal properties of asphalt mixtures [30].They have found that asphalt-specific heat capacity decreases while thermal conductivity and diffusivity increase with the addition of graphite [31].In heating and cooling conditions, researchers have tested different mixture specimens with various void ratios [32][33][34].Densely graded mixtures exhibit lower temperature-changing rates than porous mixtures.Chen et al. [35] proposed a multiscale finite element model to simulate a mixture's steady-state heat transfer process and investigated its thermal conductivity.Similarly, Mirzanamadi et al. [36] investigated the effects of void ratio and aggregate gradation and type on a mixture's thermal conductivity using a two-dimensional finite element model.Mu et al. calculated temperature fluctuations and heat flux within a type of road pavement from a numerical perspective [37].Carbon fibers with high axial thermal conductivity were incorporated into mixtures by Jiang et al. to enhance heat conductivity channels [38].In another study, the heat flow distribution and temperature field along carbon fibers were calculated using a finite element approach [39].Researchers have also studied the heat transfer and thermal influencing factors of road pavement [40,41].Conventional and alternative mixtures have been investigated using in situ measurements and numerical simulations [42,43].However, the current research gaps, major difficulties, and challenges regarding MSWIRs can be summarized as follows: (1) Research on the effects of MSWI residues with hollow microsphere structures on the thermal behavior of asphalt roads is still relatively limited; (2) The numerical studies in the literature do not focus on the effects of MSWIRs with hollow microsphere structures on the thermal behavior of flexible pavements; (3) The interaction between MSWIRs in asphalt and the environment has not been validated through field investigations.
Therefore, the objectives of the present work include the following: (1) Investigating the use of MSWIRs as fillers in asphalt mixtures whose thermal characteristics must be measured; (2) Developing a three-dimensional finite element model (FEM) to investigate temperature distributions; (3) Analyzing the thermal resistance of asphalt mixtures with MSWIRs and their effectiveness in countering urban heat islands.
This study investigates the thermal properties and behavior of building materials, which are important for designing road pavement that can reduce the risk of rutting and moisture damage and counter urban heat island effects.Additionally, secondary raw materials in asphalt can balance environmental and thermal goals, facilitating sustainable solutions.

Materials
This study used a bitumen (#70 binder) compliant with JTG E20-2011 [44].Table 1 lists its physical properties.The limestone aggregates used in this study were divided into four sizes: 10-15 mm, 5-10 mm, 3-5 mm, and 0-3 mm.The basic properties of these aggregates are listed in Table 2.They were measured according to JTG E42-2005 [45].The MSWIR used in this study was produced and recycled after heavy-metal filtration in local incineration plants.The natural limestone filler was derived from grinding limestone aggregate.The maximum size of both the LF and MSWIR was 0.075 mm, and their properties are listed in Table 2.
We investigated the asphalt mixture SMA-13 because it is commonly used in the wearing layer of urban areas.According to the equal volume concept, the MSWIR replaces the LF with different LF-to-MSWIR mass ratios.The corresponding aggregate gradation of SMA-13 and the specific mass ratios of the fillers in the asphalt mixtures are listed in Table 3 (i.e., a control mixture and Mixtures #1 to #4, with increasing MSWIR content).

Methods
Marshall's design method was employed to determine the bulk density (ρ), air voids (VV), air voids in mineral aggregate (VMA), and voids filled with asphalt (VFA) of SMA-13 according to [44].The Marshall stability test was employed to measure the mechanical parameters of the asphalt [44], including the Marshall stability (MS) and flow (FL) values.
Using the transient-plane heat source method (Hot Disk-TP3500, Xiangtan Instrument Co., LTD, Xiang Tan City, China), the mixture's thermal conductivity (λ) was measured with a thermal conductivity tester (DRE-2C).Before testing, each Marshall specimen was cut into several slices with smooth surfaces.Then, a testing probe with a thermal sensor was placed between two mixture slices in close contact (Figure 1); ten repeated experiments provided the average thermal conductivity.was cut into several slices with smooth surfaces.Then, a testing probe with a thermal sensor was placed between two mixture slices in close contact (Figure 1); ten repeated experiments provided the average thermal conductivity.In this study, a specific heat capacity tester operated in accordance with a heat transfer method was used to measure the specific heat capacity of the asphalt (Figure 2).A Marshall specimen was placed in an incubator with a uniform temperature and then immersed in water in an insulated bucket.The specific heat capacity (c) value was calculated by judging when the Marshall specimen reached a temperature equilibrium state.Combining the mechanical and thermal properties of the mixtures, Equation (1) provides the thermal diffusivity (α, mm 2 /s) where λ is the thermal conductivity (W/m K),  is the gross bulk density, g/cm 3 , and c is the specific heat capacity of the mixture, J/(kg•K).In this study, a specific heat capacity tester operated in accordance with a heat transfer method was used to measure the specific heat capacity of the asphalt (Figure 2).A Marshall specimen was placed in an incubator with a uniform temperature and then immersed in water in an insulated bucket.The specific heat capacity (c) value was calculated by judging when the Marshall specimen reached a temperature equilibrium state.was cut into several slices with smooth surfaces.Then, a testing probe with a thermal sensor was placed between two mixture slices in close contact (Figure 1); ten repeated experiments provided the average thermal conductivity.In this study, a specific heat capacity tester operated in accordance with a heat transfer method was used to measure the specific heat capacity of the asphalt (Figure 2).A Marshall specimen was placed in an incubator with a uniform temperature and then immersed in water in an insulated bucket.The specific heat capacity (c) value was calculated by judging when the Marshall specimen reached a temperature equilibrium state.Combining the mechanical and thermal properties of the mixtures, Equation (1) provides the thermal diffusivity (α, mm 2 /s) where λ is the thermal conductivity (W/m K),  is the gross bulk density, g/cm 3 , and c is the specific heat capacity of the mixture, J/(kg•K).Combining the mechanical and thermal properties of the mixtures, Equation (1) provides the thermal diffusivity (α, mm 2 /s) where λ is the thermal conductivity (W/m K), ρ is the gross bulk density, g/cm 3 , and c is the specific heat capacity of the mixture, J/(kg•K).
The ABAQUS software version 2023 product was used to develop a three-dimensional extended FEM of the asphalt mixture to simulate thermal conduction.The boundary condition parameters, contact form, and geometric assembly were like those in the experimental set: (1) The sample model was isotropic and homogeneous in terms of measured density (with a Young's modulus equal to 6000 MPa and a Poisson's ratio equal to 0.35), and the thermal properties of the material were determined based on the above thermodynamic tests.(2) The interfacial bonding was simulated with a tie constraint.(3) Fixed support and field thermal conditions were determined for the topmost layer of the road pavement.Each modeled specimen was a cylinder consisting of 8-node linear bricks with hourglass control (C3D8R) for the mesh conditions.
The thermal FEM of the asphalt pavement was based on the measured volumetric and thermal parameters of the asphalt mixture.The boundary condition of the model was set as thermally insulated, in addition to the road surface where convective heat exchange occurs.According to subroutines in the software, the surface thermal field of the pavement was set in terms of solar radiation heat flux density (q_ solar (t)), total and maximum daily solar radiation (Q and q 0 , respectively), and heat flux transfer (Figure 3).

1.
The DFLUX subroutine calculated the daily solar radiation absorbed by the surface assuming an absorption coefficient equal to 0.88-0.95.Equations ( 2) and (3) describe the solar radiation tendency where b is the effective sunshine hour (hour), and t is the time.

2.
Equation ( 4) describes the surface heat transfer according to the FILM subroutine, which results from the temperature difference between air and the asphalt surface where q air (t) is the transferred surface heat flux from external air at time t, W/m 2 ; h c is the heat transfer coefficient, W/m 2 • C; T air (t) is the air temperature, • C; T a is the daily average air temperature, • C; T m is the daily excursion of the air temperature, • C; T sur f ace (t) is the temperature of the asphalt surface, • C; and w is the daily average wind speed, m/s.

3.
Based on the Stefan-Boltzmann law, Equation ( 7) was used to calculate the surface radiation of the pavement (q rad (t)) where ε is the surface emissivity of the asphalt.
hourglass control (C3D8R) for the mesh conditions.The thermal FEM of the asphalt pavement was based on the measured volumetric and thermal parameters of the asphalt mixture.The boundary condition of the model was set as thermally insulated, in addition to the road surface where convective heat exchange occurs.According to subroutines in the software, the surface thermal field of the pavement was set in terms of solar radiation heat flux density (q_solar(t)), total and maximum daily solar radiation (Q and q0, respectively), and heat flux transfer (Figure 3).(2) where b is the effective sunshine hour (hour), and t is the time.2. Equation (4) describes the surface heat transfer according to the FILM subroutine, which results from the temperature difference between air and the asphalt surface Indoor irradiation and temperature monitoring were conducted to simulate extremely high-temperature conditions (Figure 4).Sixteen incandescent 275 W lamps were placed 90 cm above the Marshall specimens to simulate solar radiation in summer.where ε is the surface emissivity of the asphalt.
Indoor irradiation and temperature monitoring were conducted to simula tremely high-temperature conditions (Figure 4).Sixteen incandescent 275 W lamp placed 90 cm above the Marshall specimens to simulate solar radiation in summer.Each sample was embedded with a temperature sensor and thermally insula spraying foam to induce vertical heat flow.A thermal infrared imager (FLIR E6, FLI tems, Inc., Wilsonville, OR, USA) was used to record the temperature of the upper su The temperature distributions in the mixtures were stored using a TOPRIE-TP7 corder via an irradiation process.

Results and Discussion
The volumetric parameters of the asphalt mixtures with MSWIR and LF were Each sample was embedded with a temperature sensor and thermally insulated by spraying foam to induce vertical heat flow.A thermal infrared imager (FLIR E6, FLIR Systems, Inc., Wilsonville, OR, USA) was used to record the temperature of the upper surface.The temperature distributions in the mixtures were stored using a TOPRIE-TP700 recorder via an irradiation process.

Results and Discussion
The volumetric parameters of the asphalt mixtures with MSWIR and LF were determined using the Marshall design method (Table 4).The bulk density of the asphalt mixtures decreased with an increase in MSWIR content because of the lower density of the MSWIR particles compared with the LF particles.Meanwhile, the air void ratio of Mixture #4 was 1.83% higher than that of the control mixture, with higher VMA and VFA values.This phenomenon can be explained by the microstructure of the MSWIR, exhibiting spherical hollow particles, whereas the LF consisted of poriferous fragments.The differences in the volumetric parameters of the mixtures determined their thermal characteristics.
The thermal conductivity values of the specimens with different MSWIR additions were measured (Figure 1), and the testing results are listed in Table 5 to reflect the effects of the MSWIR on thermal conduction.Although the MSWIR was incorporated into the mixture by replacing an equal volume of LF, the asphalt mixtures containing MSWIR had lower thermal conductivity than the control asphalt mixture.Table 4 shows that the average thermal conductivity of Mixture #4 is 0.2994 W/(m•K) lower than that of the control mixture.These results demonstrate that the asphalt with MSWIR instead of LF had higher heat resistance.
The heat conduction characteristics of the asphalt mixture are related to its thermal conductivity and depend on its specific heat capacity.The average values of c are shown in Figure 5a and demonstrate that the heat storage capacity of the asphalt mixture was improved by the MSWIR.The heat storage capacity of the asphalt mixtures increased from 838.45 J/(kg•K) to 955.37 J/(kg•K) when the MSWIR completely replaced LF (Mixture #4).The increase in c became significant when the MSWIR was used as a substitute for at least 50% of the LF (the relative ratio of Mixture #3 is 8.1%).According to Equation ( 1), thermal diffusivity synthesizes the thermal properties of the material.Incorporating the MSWIR significantly improved the thermal resistance of the asphalt mixture, with a decrease in α of 0.1955 mm 2 /s compared with the control mixture.An MSWIR with a hollow structure tends to prevent heat conduction, which, in this study, affected the temperature distribution of the pavement (Figure 5b).Finally, the temperatures at different depths of the asphalt mixture with MSWIR were monitored and validated using an FEM model.A set of climate data documented by a TRM-ZS1 weather station was used to validate the experimental and simulation data.The daily total solar radiation, air temperature, humidity, effective sunshine hours, air pressure, and wind speed were measured and recorded by a monitoring station using a wireless communication controller.Meteorological data measured from an asphalt road section (SMA-13) in Changsha City, China, on 27 June (Figure 6) were input into ABAQUS for full-scale thermal model validation.Furthermore, the bulk density, thermal conductivity, and specific heat capacity of the asphalt mixture were included in the model.The maximum and minimum surface temperatures were calculated using the thermal model.According to Equation (1), thermal diffusivity synthesizes the thermal properties of the material.Incorporating the MSWIR significantly improved the thermal resistance of the asphalt mixture, with a decrease in α of 0.1955 mm 2 /s compared with the control mixture.An MSWIR with a hollow structure tends to prevent heat conduction, which, in this study, affected the temperature distribution of the pavement (Figure 5b).Finally, the temperatures at different depths of the asphalt mixture with MSWIR were monitored and validated using an FEM model.A set of climate data documented by a TRM-ZS1 weather station was used to validate the experimental and simulation data.The daily total solar radiation, air temperature, humidity, effective sunshine hours, air pressure, and wind speed were measured and recorded by a monitoring station using a wireless communication controller.Meteorological data measured from an asphalt road section (SMA-13) in Changsha City, China, on 27 June (Figure 6) were input into ABAQUS for full-scale thermal model validation.Furthermore, the bulk density, thermal conductivity, and specific heat capacity of the asphalt mixture were included in the model.The maximum and minimum surface temperatures were calculated using the thermal model.According to Equation ( 1), thermal diffusivity synthesizes the thermal properties of the material.Incorporating the MSWIR significantly improved the thermal resistance of the asphalt mixture, with a decrease in α of 0.1955 mm 2 /s compared with the control mixture.An MSWIR with a hollow structure tends to prevent heat conduction, which, in this study, affected the temperature distribution of the pavement (Figure 5b).Finally, the temperatures at different depths of the asphalt mixture with MSWIR were monitored and validated using an FEM model.A set of climate data documented by a TRM-ZS1 weather station was used to validate the experimental and simulation data.The daily total solar radiation, air temperature, humidity, effective sunshine hours, air pressure, and wind speed were measured and recorded by a monitoring station using a wireless communication controller.Meteorological data measured from an asphalt road section (SMA-13) in Changsha City, China, on 27 June (Figure 6) were input into ABAQUS for full-scale thermal model validation.Furthermore, the bulk density, thermal conductivity, and specific heat capacity of the asphalt mixture were included in the model.The maximum and minimum surface temperatures were calculated using the thermal model.Figure 6 shows how the comparison was conducted between the simulated and measured surface temperatures in order to verify the model.The surface temperature ranged from about 16 • C to 42 • C in the thermal model, and this range was comparable to the measured values.Given the solar radiation changes, the calculated maximum temperature of the surface was a little higher than the measured values, while the minimum surface temperature was approximately equal.This discrepancy is attributable to the idealization of weather parameters and material thermal properties.The close agreement between the simulated results and the field measurements indicates the reliability of the proposed thermal model in investigating the thermal behavior of asphalt mixtures.The typical weather conditions were determined to be 3.3 m/s for wind speed, 20 • C for minimum air temperature, 30 • C for maximum air temperature, 11.5 h for effective sunshine hours, and 6.747 MJ/m 2 for daily total solar radiation.The selected surface thermal conditions for the summer season and the measured thermal properties of the asphalt mixtures were adopted in the thermal field model.A hexagonal element type with linear heat transfer and tie interlayer constraints was applied during the thermal analysis.The variation and distribution of the surface and internal temperatures (Figure 7) were calculated according to the heat transfer calculation in ABAQUS for the control mixture throughout the whole day.Figure 6 shows how the comparison was conducted between the simulated and measured surface temperatures in order to verify the model.The surface temperature ranged from about 16 °C to 42 °C in the thermal model, and this range was comparable to the measured values.Given the solar radiation changes, the calculated maximum temperature of the surface was a little higher than the measured values, while the minimum surface temperature was approximately equal.This discrepancy is attributable to the idealization of weather parameters and material thermal properties.The close agreement between the simulated results and the field measurements indicates the reliability of the proposed thermal model in investigating the thermal behavior of asphalt mixtures.The typical weather conditions were determined to be 3.3 m/s for wind speed, 20 °C for minimum air temperature, 30 °C for maximum air temperature, 11.5 h for effective sunshine hours, and 6.747 MJ/m 2 for daily total solar radiation.The selected surface thermal conditions for the summer season and the measured thermal properties of the asphalt mixtures were adopted in the thermal field model.A hexagonal element type with linear heat transfer and tie interlayer constraints was applied during the thermal analysis.The variation and distribution of the surface and internal temperatures (Figure 7) were calculated according to the heat transfer calculation in ABAQUS for the control mixture throughout the whole day.The daily surface temperature is shown in Figure 8a,b.Given the absorbent solar radiation, the maximum surface temperature of the mixture was higher (by more than 15 °C) than the maximum daily air temperature under typical thermal conditions, which occurred at about 13:00~15:00.Conversely, the lowest surface temperature of the asphalt mixture was almost the same as the minimum daily air temperature.In addition, the mixtures including MSWIRs presented higher temperatures in the afternoon and lower temperatures at night compared with the control mixture.
The variation and distribution of the internal temperature gradient at different depths of the control mixture were also recorded.Figure 8c shows that the mesh reading points were vertically distributed from the longitudinal center of the asphalt mixture.The The daily surface temperature is shown in Figure 8a,b.Given the absorbent solar radiation, the maximum surface temperature of the mixture was higher (by more than 15 • C) than the maximum daily air temperature under typical thermal conditions, which occurred at about 13:00~15:00.Conversely, the lowest surface temperature of the asphalt mixture was almost the same as the minimum daily air temperature.In addition, the mixtures including MSWIRs presented higher temperatures in the afternoon and lower temperatures at night compared with the control mixture.
daily variation range of the pavement temperature decreased markedly with increasing depth.The largest temperature variation was on the surface because of direct contact and heat exchange with the atmosphere [47][48][49].Generally, the temperature differences between the various mixtures at the same depth resulted from the voids within the hollow microsphere structure of the MSWIR (Figure 8d).The heat conductivity of the voids was less than that of the asphalt mastics and aggregate.Therefore, the voids in the MSWIR affected the temperature distribution within the asphalt mixture, inducing a thermal resistance effect.Han et al. reported a similar finding concerning the heat conduction in a mixture [50].Moreover, the temperature degradations of the asphalt mixtures represent different phenomena, which may cause micro-weather changes near pavement at night [51][52][53].The main reasons for the temperature degradation difference include the thermal parameters and heat accumulation during the daytime [54,55].
Heat conduction causes heat flux gradients at different depths.These prolonged heat flux accumulations may disturb the thermal balance with the near-surface environment in urban areas.The daily heat flux evolution of the asphalt mixture based on the simulation analysis of the heat flux transfer is shown in Figure 9.The asphalt heat flux field exhibited a certain level of hysteresis in the temperature change shown in Figure 7, which contributed to the amount of flux absorbed and the conduction process.The variation and distribution of the internal temperature gradient at different depths of the control mixture were also recorded.Figure 8c shows that the mesh reading points were vertically distributed from the longitudinal center of the asphalt mixture.The daily variation range of the pavement temperature decreased markedly with increasing depth.The largest temperature variation was on the surface because of direct contact and heat exchange with the atmosphere [47][48][49].
Generally, the temperature differences between the various mixtures at the same depth resulted from the voids within the hollow microsphere structure of the MSWIR (Figure 8d).The heat conductivity of the voids was less than that of the asphalt mastics and aggregate.Therefore, the voids in the MSWIR affected the temperature distribution within the asphalt mixture, inducing a thermal resistance effect.Han et al. reported a similar finding concerning the primary heat conduction in a mixture [50].Moreover, the temperature degradations of the asphalt mixtures represent different phenomena, which may cause micro-weather changes near pavement at night [51][52][53].The main reasons for the temperature degradation difference include the thermal parameters and heat accumulation during the daytime [54,55].
Heat conduction causes heat flux gradients at different depths.These prolonged heat flux accumulations may disturb the thermal balance with the near-surface environment in urban areas.The daily heat flux evolution of the asphalt mixture based on the simulation analysis of the heat flux transfer is shown in Figure 9.The asphalt heat flux field exhibited a certain level of hysteresis in the temperature change shown in Figure 7, which contributed to the amount of flux absorbed and the conduction process.Upon comparing Figure 10a and Figure 10b, a time lag between the maximum temperature and the maximum heat flux can be seen in the mixture model.The heat flux gradient effect within the internal structure will change the heat transfer direction at night.This time lag phenomenon in the pavement's heat flux further affects the partial heat balance and even exacerbates heat islands [56,57].
Figure 10c,d show that the MSWIR reduced the flux gradient, indicating a higher level of thermal resistance due to lower thermal conductivity.It can be inferred that the obstruction of the transmission of heat into the in-depth layers would induce heat flux around the upper layer.Therefore, the mixture with MSWIR will exhibit a higher upperlayer temperature under the same solar radiation absorption conditions during the daytime, and less stored heat energy will be lost to the ambient environment at night.This phenomenon explains why Mixture #4 showed a larger temperature range in the daytime and a smaller temperature range at night.Therefore, it has been theoretically confirmed that the mixture with MSWIR can counter heat island effects because it releases less heat into the ambient environment at night.However, the potential heat island effect due to higher surface temperatures in the daytime cannot be overlooked.Upon comparing Figure 10a,b, a time lag between the maximum temperature and the maximum heat flux can seen in the mixture model.The heat flux gradient effect within the internal structure will change the heat transfer direction at night.This time lag phenomenon in the pavement's heat flux further affects the partial heat balance and even exacerbates heat islands [56,57].
Figure 10c,d show that the MSWIR reduced the flux gradient, indicating a higher level of thermal resistance due to lower thermal conductivity.It can be inferred that the obstruction of the transmission of heat into the in-depth layers would induce heat flux around the upper layer.Therefore, the mixture with MSWIR will exhibit a higher upper-layer temperature under the same solar radiation absorption conditions during the daytime, and less stored heat energy will be lost to the ambient environment at night.This phenomenon explains why Mixture #4 showed a larger temperature range in the daytime and a smaller temperature range at night.Therefore, it has been theoretically confirmed that the mixture with MSWIR can counter heat island effects because it releases less heat into the ambient environment at night.However, the potential heat island effect due to higher surface temperatures in the daytime cannot be overlooked.
Indoor irradiation simulated the high-temperature conditions of summer (Figure 3).This study focused on temperature evolution at different depths (i.e., 0 cm, 2 cm, 4 cm, and 6 cm below the surface).Figure 11a-c   Indoor irradiation simulated the high-temperature conditions of summer (Figure 3).This study focused on temperature evolution at different depths (i.e., 0 cm, 2 cm, 4 cm, and 6 cm below the surface).Figure 11a-c show the temperature distributions of the control mixture, Mixture #2, and Mixture #4, respectively.(a) Figure 11 shows that Mixture #4 had a higher average temperature than the control.The MSWIR reduced thermal diffusivity and caused more irradiation energy to accumulate.The average surface temperature increased, and the difference in surface temperature between the traditional and alternative mixtures reached up to 2.5 °C. Figure 12 shows the contrastive results of the calculated pavement temperatures.Figure 11 shows that Mixture #4 had a higher average temperature than the control.The MSWIR reduced thermal diffusivity and caused more irradiation energy to accumulate.The average surface temperature increased, and the difference in surface temperature between the traditional and alternative mixtures reached up to 2.5 • C. Figure 12 shows the contrastive results of the calculated pavement temperatures.Figure 12 illustrates the contrastive results for the asphalt mixtures.Incorporating MSWIR into the asphalt increased the temperature in the upper 2.5 cm thick layer.However, the temperature results at 2.5 cm to 6 cm below the surface were opposite.The temperature drop reached as low as 1.67 °C.A temperature distribution intersection zone could be observed in the three-dimensional temperature field model at a depth of 2.5 cm; this was caused by the MSWIR-to-LF ratio.This phenomenon can be explained in terms of thermal conductivity.
The temperature-monitoring results for the structural elements and the heat conduction (Hc) of the upper-layer model are shown in Figure 13.They indicate that MSWIRs in asphalt can mitigate heat accumulation inside the pavement, reducing the total heat radiation flux.An increase in the surface layer temperature might exacerbate the peak heat Figure 12 illustrates the contrastive results for the asphalt mixtures.Incorporating MSWIR into the asphalt increased the temperature in the upper 2.5 cm thick layer.However, the temperature results at 2.5 cm to 6 cm below the surface were opposite.The temperature drop reached as low as 1.67 • C. A temperature distribution intersection zone could be observed in the three-dimensional temperature field model at a depth of 2.5 cm; this was caused by the MSWIR-to-LF ratio.This phenomenon can be explained in terms of thermal conductivity.
The temperature-monitoring results for the structural elements and the heat conduction (H c ) of the upper-layer model are shown in Figure 13.They indicate that MSWIRs in asphalt can mitigate heat accumulation inside the pavement, reducing the total heat radiation flux.An increase in the surface layer temperature might exacerbate the peak heat island effect in urban areas.This can accelerate the convective dissipation of heat on road surfaces [58] and can be combined with urban cooling technologies [59][60][61] such as reflective [62,63] and evaporative pavements [64,65] and greenery [66].ustainability 2023, 15, x FOR PEER REVIEW 15 of 1 island effect in urban areas.This can accelerate the convective dissipation of heat on road surfaces [58] and can be combined with urban cooling technologies [59][60][61] such as reflec tive [62,63] and evaporative pavements [64,65] and greenery [66].

Conclusions
In this study, we investigated the thermal characteristics of asphalt mixtures with MSWI residues substituting for limestone filler by varying the substitution volume be tween 0% and 100%.The temperature distribution within a flexible pavement was ana lyzed using thermal simulations and indoor irradiation tests.This research revealed the effects of an MSWIR with hollow microsphere structures on the thermal characteristics and behavior of an SMA-13 asphalt mixture.Through our numerical studies, we devel oped a three-dimensional finite element model describing the temperature distributions The field investigation validated the interaction between MSWIR in flexible pavements and the urban environment.
The main conclusions are as follows: (1) Incorporating MSWIR reduces the thermal conductivity of asphalt mixtures from 1.4356 to 1.1362 W/(m•K) compared with using LF.The specific heat capacity of the mixture increases from 0.385 to 0.9554 J/(kg•K) because of the hollow microsphere structure of the MSWI residues.(2) Thermal diffusivity decreases by 0.1955 mm 2 /s, indicating enhanced thermal re sistance.Asphalt with MSWIR transfers less heat to lower layers at the same solar radiation level, which is conducive to alleviating the heat island effect.(3) The temperature and heat flux gradients indicate a time lag for heat stored in the daytime and released at night.The heating accumulation and dissipation rate exhibi a positive correlation with the MSWIR content.(4) Compared with the daily maximum temperature of the asphalt mixture, the daily heat flux can elucidate the thermal absorption and conductive mechanism at a more specific level, helping us to understand pavement heat transfer.(5) The indoor irradiation test indicated the exacerbated urban heat island effect during a hot summer can cause an increase of about 2.5 °C in the surface layer temperature which should be considered before material design and proposing MSWIR applica tions.Therefore, the proposed approach, combined with cool pavement technologies can balance physical, mechanical, functional, and environmental goals.
Further studies should be conducted because this study only included SMA-13, and more asphalt mixture types should be investigated.The comprehensive performance o

Conclusions
In this study, we investigated the thermal characteristics of asphalt mixtures with MSWI residues substituting for limestone filler by varying the substitution volume between 0% and 100%.The temperature distribution within a flexible pavement was analyzed using thermal simulations and indoor irradiation tests.This research revealed the effects of an MSWIR with hollow microsphere structures on the thermal characteristics and behavior of an SMA-13 asphalt mixture.Through our numerical studies, we developed a threedimensional finite element model describing the temperature distributions.The field investigation validated the interaction between MSWIR in flexible pavements and the urban environment.
The main conclusions are as follows: (1) Incorporating MSWIR reduces the thermal conductivity of asphalt mixtures from 1.4356 to 1.1362 W/(m•K) compared with using LF.The specific heat capacity of the mixture increases from 0.385 to 0.9554 J/(kg•K) because of the hollow microsphere structure of the MSWI residues.(2) Thermal diffusivity decreases by 0.1955 mm 2 /s, indicating enhanced thermal resistance.Asphalt with MSWIR transfers less heat to lower layers at the same solar radiation level, which is conducive to alleviating the heat island effect.(3) The temperature and heat flux gradients indicate a time lag for heat stored in the daytime and released at night.The heating accumulation and dissipation rate exhibit a positive correlation with the MSWIR content.(4) Compared with the daily maximum temperature of the asphalt mixture, the daily heat flux can elucidate the thermal absorption and conductive mechanism at a more specific level, helping us to understand pavement heat transfer.(5) The indoor irradiation test indicated the exacerbated urban heat island effect during a hot summer can cause an increase of about 2.5 • C in the surface layer temperature, which should be considered before material design and proposing MSWIR applications.Therefore, the proposed approach, combined with cool pavement technologies, can balance physical, mechanical, functional, and environmental goals.
Further studies should be conducted because this study only included SMA-13, and more asphalt mixture types should be investigated.The comprehensive performance of MSWI residues is still limited.Other testing procedures should be conducted to analyze primary properties; these procedures include fatigue and dynamic creep tests.Moreover,

Figure 2 .
Figure 2. Set-up for heat capacity measurement.

Figure 2 .
Figure 2. Set-up for heat capacity measurement.

Figure 2 .
Figure 2. Set-up for heat capacity measurement.

Figure 3 .
Figure 3. Thermal model of asphalt pavement and boundary conditions.1.The DFLUX subroutine calculated the daily solar radiation absorbed by the surface assuming an absorption coefficient equal to 0.88-0.95.Equations (2) and (3) describe the solar radiation tendency

Figure 3 .
Figure 3. Thermal model of asphalt pavement and boundary conditions.

Sustainability 2023 ,
15, x FOR PEER REVIEW where   () is the transferred surface heat flux from external air at time t, ℎ  is the heat transfer coefficient, W/m 2 °C;   () is the air temperature, °C the daily average air temperature, °C;   is the daily excursion of the air tem ture, °C;   () is the temperature of the asphalt surface, °C; and w is the average wind speed, m/s. 3. Based on the Stefan-Boltzmann law, Equation (7) was used to calculate the s radiation of the pavement (  ())   () = 5.67 × 10 −8 [(  () + 273) 4 − (  () + 273) 4 ]

Figure 4 .
Figure 4. Irradiation test installation and temperature monitoring.

Figure 4 .
Figure 4. Irradiation test installation and temperature monitoring.

Figure 6 .
Figure 6.Meteorological data collection and temperature model validation.

Figure 7 .
Figure 7. Surface and internal daily temperatures-control mixture.

Figure 7 .
Figure 7. Surface and internal daily temperatures-control mixture.

Figure 8 .
Figure 8. Finite element results: (a,b) daily maximum temperature; (c) daily internal temperature gradient of the control mixture; (d) daily surface temperature gradient of each mixture.

Figure 8 .
Figure 8. Finite element results: (a,b) daily maximum temperature; (c); daily internal temperature gradient of the control mixture; (d) daily surface temperature gradient of each mixture.

Figure 9 .
Figure 9. Surface and internal daily heat fluxes-control mixture.

Figure 9 .
Figure 9. Surface and internal daily heat fluxes-control mixture.
show the temperature distributions of the control mixture, Mixture #2, and Mixture #4, respectively.

Figure 10 .
Figure 10.Finite element analysis results.(a,b) Daily maximum heat flux; (c) daily heat flux at different depths of the control mixture; (d) daily surface heat flux gradient of each mixture.

Figure 10 .Figure 10 .
Figure 10.Finite element analysis results.(a,b) Daily maximum heat flux; (c) daily heat flux at different depths of the control mixture; (d) daily surface heat flux gradient of each mixture.

Figure 13 .
Figure 13.Structural elements and heat conduction of the upper layer.

Figure 13 .
Figure 13.Structural elements and heat conduction of the upper layer.

Table 2 .
Basic properties of aggregates and fillers.

Table 4 .
Volumetric and mechanical properties.

Table 5 .
Thermal conductivity of asphalt mixtures.