Opaque Ventilated Façade (OVF) Thermal Performance Simulation for O ﬃ ce Buildings in Brazil

: Opaque ventilated façades (OVFs) are increasingly gaining in importance in the design of sustainable buildings, given that they can lessen the building´s environmental impact. Opaque ventilated façades can reduce thermal gains in hot climate zones, improving the thermal comfort indoors, and reducing air conditioning demand. Nevertheless, the thermal behaviour of the opaque ventilated façade depends on the climatic conditions and the building´s speciﬁc design. This study analyses the e ﬀ ect of opaque ventilated façades in o ﬃ ce buildings using 30 constructive conﬁgurations under eight tropical climate conditions. The study considers three options for the external layer of cladding (ceramic, stone, and aluminium composite material) and two conﬁgurations for the inner layer (plasterboard with mineral wool and ceramic). Simulations were carried out using the software tools TRanNsient SYstem Simulation program (TRNSYS) and TRNFlow. The model developed considers bioclimatic characteristics, including solar radiation and wind conditions for each climatic zone. The operating temperature was selected from within the range established by occupant comfort regulations. The ﬁndings suggest that it is possible to select the best o ﬃ ce building opaque ventilated façade conﬁguration for each of the speciﬁc climate conditions in Brazil.


Introduction
The building's envelope characteristics, particularly its suitability, have great influence on the building´s annual heating and cooling consumption, which influences dependence on the grid energy supply [1,2], especially in detached and high-rise buildings, which are common in tropical climate zones, where the atmosphere is usually hot and humid. According to European research [3][4][5][6], the opaque ventilated façade's (OVF) potential to reduce heating gains is quite large in the summer, ranging from 20% to 40%. This type of envelope was introduced in the early 2000s in many countries from the Southern Hemisphere based on proven efficiency in Northern Hemisphere countries. The lack of performance data in real buildings became a barrier in countries within the Southern Hemisphere. In fact, there are very few studies that analyse the OVF's thermal behaviour in tropical and subtropical climates [7,8], notwithstanding its demonstrated thermal performance in other countries. OVF systematic design approaches in tropical and subtropical climates are missing out on the state of the art developments successfully predicts the air gap's behaviour [5]. Analysis of the ventilation of the air chamber has demonstrated the potential energy savings achieved when the air velocity inside the gap increases. In addition, the chamber's air velocity is directly influenced by the amount of radiation affecting the façade: the more radiation, the higher the air velocity [11,18,19]. In this work, evidence has been found concerning the relationship between the increased gap's ventilation and solar radiation incidence, concluding that if the outer leaf temperature increases because of solar radiation, the air movement inside the chamber also increases. Therefore, if solar radiation does not affect the outer layer, the outdoor temperature is equal to that of the air gap, and no air movement is driven by temperature difference. Fantucci et al. [20] demonstrated the effectiveness of OVFs in preventing solar gains in façades, with an estimated reduction ranging between 52% and 64%.
Some investigations focused on the air movement influenced by the air cavity's characteristics [12][13][14][15]. However, only a few of them analysed different OVF materials, one of which deals with the different layers that define the enclosure [21]. This work modifies the façade's mass position through experimental research and concludes that, for the specific climate conditions in Italy, the adoption of a thermal mass in contact with the air gap, no matter its position, can reduce heat transfer. Also, many significant researchers have noted the inertia importance in climates with high thermal amplitudes, highlighting that the mass should preferably be positioned on the outside of the cavity, to guarantee lower incoming/outgoing fluxes and a higher stack effect. Another investigation carried out by Prada [22] compared two case studies, one of which considers insulation behind the air chamber, and the other considers no insulation. They noted that the insulated wall reached higher air velocity along the wall's height, provided by the higher temperatures reached inside the air gap.
Ciampi [13] analysed the outer and inner layers, studying the effect of different materials and external layer thickness, and concluded that when the outer skin is made of reflecting materials, the influence of solar radiation on the façade is strongly reduced, as is the ventilated gap's efficiency. Another fact to consider is that energy savings increase when the outdoor and indoor temperature difference decreases. Further work which has analysed the external layer conditions [4] concluded that the outer layer's materials with lower absorption coefficients produce higher energy savings, suggesting the use of materials with low thermal conductivity, high density, and high specific heat, and highlighting that metals generate overheating at midday.
OVF's external enclosures were qualitatively compared by Stazi [11], who showed that the external cladding inertia influences the chimney effect over time in ceramic façades, which is more effective for cladding with low inertia at night, unlike during the day, when those with higher thermal inertia are most effective.
The façade's outer layer characteristics has been one of the least analysed elements until 2014 [12], when Marinosci studied the ventilated façade's behaviour in relation to the outer material, the openings, and the air chamber's thickness, concluding that outer stone cladding works better than aluminium plates because of its greater thermal inertia and resistance.
Another element to be analysed is thermal insulation's role in OVFs [13]. The most common thermal insulation arrangement is within the air gap, near the inner masonry wall, although previous research suggested that it may not be the most energy-efficient solution, suggesting that the optimal insulation position is between the inner masonry wall and the outer layer.
Previous research looking at the temperature patterns inside the air chamber [23] has suggested that the high temperatures reached in summer can lead to poor façade behaviour, requiring greater inner sheet insulation. The authors stated that further in-depth research was needed to improve the system design. The literature reviewed highlighted the lack of evidence on the effect of the OVF's inner sheet characteristics and its thermal inertia [3].
The thermal behaviour of a ventilated granite façade is compared with a traditional granite solution in Brazil, where a great variety of tropical and subtropical climates can be found [7]. So far, this envelope's typology is most energy efficient in warmer climates with high solar radiation, high temperatures, and very low wind speed, as the air flowing through the ventilated chamber reduces the solar gains inside the building. For the coldest periods and locations, ventilated façades achieved poorer performance than traditional façades. Hence, for a country like Brazil, with such varied climate conditions, greater OVF parametric studies are needed to show its effect on the building's energy demand. The work presented here feeds into this parametric work, focusing on office buildings, which require high energy demand [24]. Thus, the aim of this work is to take a further step towards the efficient design of the ventilated façade in tropical climates using a previously validated TRanNsient SYstem Simulation program (TRNSYS) model. A calculation tool called TRNFlow has also been used to simulate the ventilated air gap's behaviour. This software estimates solar gains (solar radiation) on each façade.

Methodology
A model previously developed and validated for a given office building has been applied here [23]. Tropical climate conditions were selected from current values given in Brazilian regulations [25]. Eight cities located within Brazilian tropical locations according to the Köppen-Geiger classification and Brazilian regulations have been selected. Additionally, 30 building designs were modelled (five materials for the inner wall, and three materials and two colours for the external layer), which resulted in a total of 240 simulations performed with TRNSYS 17 and TRNFlow. The inner wall characteristics were those from the validated model, adding three new proposals that are common in Brazil. The external layer´s materials from the validated model were compared with two common materials used in Brazilian office buildings [26].

Climatic Conditions Analysed
The tropical climate location is bordered by the Tropics, and Brazil's latitude ranges from 5 • 16 19 to the north to 33 • 45 09 to the south, so several tropical climatic conditions are present, including different temperatures, humidity, and solar radiation. Climatic areas in Brazil were established in 2005 by the Brazilian Association of Technical Standards [27], and these areas were used in this paper. The country has eight different zones according to each region's climatic conditions, although in this work, five climate locations have been sampled, evaluating eight Brazilian cities within those regions, as shown in Table 1 [28].
Zone 1 is the coldest area analysed, and Curitiba-PR represents Cfb climate (humid subtropical zone, oceanic climate with dry season and warm temperate summer). Zone 8, which is Am (tropical zone, monsoon), is the warmest and most humid, where Belém-PA is located. Table 1. Cities and climates analysed in this study. (Am-tropical zone, monsoon; Aw-tropical zone, with dry winter; BSh-dry zone, steppe climate, low latitude and altitude; Cfa-humid subtropical zone, oceanic climate with dry season, with hot summer; Cfb-humid subtropical zone, oceanic climate with dry season, with warm temperate summer) [28]. The office building analysed here was previously simulated and validated by the authors [23]. The building is rectangular, as shown in Figure 1, being 92 m long, 17.5 m wide, and 3-4 floors high. The ground floor is conventional, whereas the others have a floating external sheet, which acts as a rainscreen. The building is east orientated, and windows are continuous in all façades. The constructive elements are defined in Table 3.

The Building Model (Case Study/Building Simulation)
The office building analysed here was previously simulated and validated by the authors [23]. The building is rectangular, as shown in Figure 1, being 92 m long, 17.5 m wide, and 3-4 floors high. The ground floor is conventional, whereas the others have a floating external sheet, which acts as a rainscreen. The building is east orientated, and windows are continuous in all façades. The constructive elements are defined in Table 3. In the model, TRNSYS considers external weather data from the Meteonorm database included in TRNSYS [29] into TMY2 format for simulations (standard minute format with global horizontal solar radiation, dry bulb temperature, relative humidity, and wind speed and direction). The data file from Meteonorm contains average climatic readings over the period 1991-2010. TRNSYS calculates solar radiation on each surface of the building according to the weather data component (Type 99) and considers the building's components (Type 56). The software works by calculating solar gains, conduction, radiation and convection processes on the envelope of the building. TRNFLOW has been used to simulate the ventilated air gap's thermal behaviour. Therefore, solar gains (solar radiation) have been considered in the air gap, as have air flow conduction and convection through the gap.
Some information is essential in order to understand the data used in the simulations. The wind speed adjacent to the surface was calculated by TRNFLOW using weather data and wind pressure coefficients (Cp) which depend on the shape of the building, wind direction and the analysed point on each surface of the façade [30]. The external surface resistance is defined by two coefficients: the radiative coefficient, which is a constant value (hr = 5.13W/m2K), and the convective coefficient, which is a function of wind speed v (hc = 4 + 4v), according to EN ISO 6946: 2017 [31]. The outdoor temperature is given by each city's climatic data. The internal surface resistance is considered constant, using the tabulated value from the previous regulation (Rsi = 0.13m2K/W). The air gap, which is considered to be slightly ventilated as demonstrated by previous work [23], has also been assumed from the current regulation [31]. Figure 2a shows the TRNSYS model developed. The input parameters are weather data and building occupancy, and the outputs are energy demand and room temperatures. Figure 2b illustrates the TRNFLOW model with the inlet and outlet air and the connexions in the air chamber. The outdoor air is input on the first floor and output on the third floor. In the model, TRNSYS considers external weather data from the Meteonorm database included in TRNSYS [29] into TMY2 format for simulations (standard minute format with global horizontal solar radiation, dry bulb temperature, relative humidity, and wind speed and direction). The data file from Meteonorm contains average climatic readings over the period 1991-2010. TRNSYS calculates solar radiation on each surface of the building according to the weather data component (Type 99) and considers the building's components (Type 56). The software works by calculating solar gains, conduction, radiation and convection processes on the envelope of the building. TRNFLOW has been used to simulate the ventilated air gap's thermal behaviour. Therefore, solar gains (solar radiation) have been considered in the air gap, as have air flow conduction and convection through the gap.
Some information is essential in order to understand the data used in the simulations. The wind speed adjacent to the surface was calculated by TRNFLOW using weather data and wind pressure coefficients (Cp) which depend on the shape of the building, wind direction and the analysed point on each surface of the façade [30]. The external surface resistance is defined by two coefficients: the radiative coefficient, which is a constant value (hr = 5.13W/m2K), and the convective coefficient, which is a function of wind speed v (hc = 4 + 4v), according to EN ISO 6946: 2017 [31]. The outdoor temperature is given by each city's climatic data. The internal surface resistance is considered constant, using the tabulated value from the previous regulation (Rsi = 0.13m2K/W). The air gap, which is considered to be slightly ventilated as demonstrated by previous work [23], has also been assumed from the current regulation [31]. Figure 2a shows the TRNSYS model developed. The input parameters are weather data and building occupancy, and the outputs are energy demand and room temperatures. Figure 2b illustrates the TRNFLOW model with the inlet and outlet air and the connexions in the air chamber. The outdoor air is input on the first floor and output on the third floor. The office building occupancy, equipment, and lighting characteristics were also introduced to determine the internal thermal gain. Full office occupancy is assumed between 08:00 to 12:00 and between 14:00 and 18:00, considering 50 people working seated in the office supplied with lighting and office equipment. From 12:00 to 14:00, only 20% occupancy is considered. The infiltration was assumed at 1 renovation per hour. These details are summarized in Table 2.
The building's energy performance accounts for both the heating and cooling demand. Surface temperatures were calculated for each façade configuration illustrating thermal envelope performance.

Thermal Comfort in Brazilian Office Buildings
According to current regulations [27], it should be noted that heating demand is only needed in the south of the country (for this analysis, Z1, Z2, and Z3). In these climatic zones, winters are cold and space heating is required. Domestic space heating is normally supplied with a chimney or woodburning stove, whereas in public buildings the use of heat pumps is common, and the cooling demand is covered with air conditioning.
Brazilian regulations consider comfort temperatures between 21 °C and 27 °C in hot climate zones [32]. In the simulation, the heating automatically turns on when the indoor temperature is below 21 °C, while the cooling turns on when the temperature is above 27 °C. The office building occupancy, equipment, and lighting characteristics were also introduced to determine the internal thermal gain. Full office occupancy is assumed between 08:00 to 12:00 and between 14:00 and 18:00, considering 50 people working seated in the office supplied with lighting and office equipment. From 12:00 to 14:00, only 20% occupancy is considered. The infiltration was assumed at 1 renovation per hour. These details are summarized in Table 2.
The building's energy performance accounts for both the heating and cooling demand. Surface temperatures were calculated for each façade configuration illustrating thermal envelope performance.

Thermal Comfort in Brazilian Office Buildings
According to current regulations [27], it should be noted that heating demand is only needed in the south of the country (for this analysis, Z1, Z2, and Z3). In these climatic zones, winters are cold and space heating is required. Domestic space heating is normally supplied with a chimney or wood-burning stove, whereas in public buildings the use of heat pumps is common, and the cooling demand is covered with air conditioning.
Brazilian regulations consider comfort temperatures between 21 • C and 27 • C in hot climate zones [32]. In the simulation, the heating automatically turns on when the indoor temperature is below 21 • C, while the cooling turns on when the temperature is above 27 • C.

Parameters Considered
The envelope's external layer in the validated model was dark in colour, made of aluminium composite (ACM), and 5mm thick. It has a 10 cm air gap opened 1 cm at the top and at the bottom, and 1 cm open joints between the OVF panels. The inlet and outlet air are always flowing, as it is not possible to close the gaps. The internal wall's insulation is made of plasterboard panels.
For the simulation, the air gap was considered constant while the different layers' characteristics were modelled. Table 3 lists all the façade materials considered. The materials' thickness and characteristics have been modelled according to existing commercial solutions. Five different inner layer materials were combined with three external layer elements. The materials considered for analysis are the most common materials currently used in Brazil. It should be noted that Item B, from Table 4, with "hollow ceramic brick" is the most commonly used in recent years. The combination of materials tested for the outer and the inner skin resulted in 30 different OVF solutions as summarised in Table 5. There are two different solar absorptances for the external layer: light colour, with 0.2 solar absorptance, and dark colour with 0.6 solar absorptance. In all surfaces, the case emissivity was considered to be 0.9. In addition, for the external skin, three different materials, which are listed in Table 3, were considered: 0.03m of stone (STO), 0.015m of compact ceramic tiles (CER), and 0.004m of aluminium composite material (ACM); the configurations for the inner skin are specified in Table 4.

Results and Discussion
For each case study, the heating, cooling and annual energy demands have been calculated, resulting in 240 simulations, which provide a great source of analysis. With the simulation program set as a transient system, it has been possible to hourly simulate the thermal behaviour of each constructive solution during a calendar year. Annual energy consumption results are displayed in Table 6 (the annual heating and cooling demands are attached on Appendix A, Table A1.) Given that Zone 1 is the coldest zone, the solution with the lowest thermal transmittance (U-value) results in the lowest annual heating demand; therefore, a dark ceramic external layer with insulated plasterboard (CER_A1) in the internal layer is the best solution. The very similar results were found with the outer skin made of dark coloured aluminium composite and insulated plasterboard in the camera (ACM_A1) both for Zone 1 and Zone 2 (the coldest areas with the highest insulated constructive proposals). The heating and cooling analyses from Zones 1, 2, and 3 show that the highest heating demand is obtained with the external layer made of light colour stone and the inner layers made of hollow ceramic brick with lime cement plaster and no insulation (STO_C2), which results, in turn, in the lowest cooling demand. Similarly, the lowest heating demand is reached with ACM_A1, which is the least efficient solution for cooling. Thus, among the inner layers analysed, the lightest and most isolated one is item A, which resulted in the minimum annual demands within Zone 1 and Zone 2. The stone tile STO_C2, which has less thermal resistance, results in most cases in the lowest cooling demand, as found by previous research [4,12,13,21]. Previous studies have indeed calculated the summer cooling demand but lack the annual energy demand analysis, which is highly relevant in this work, concluding that higher thermal transmittance values decrease summer cooling loads but increase the winter heating demand, being the least efficient solution for cold climates. Results within Zone 1 and Zone 2 are quite similar because of their comparable weather conditions, where the insulated inner layer is the best option.
Within Zone 2 (Bage-RS), the highest annual and heating demand is achieved with STO_C2. The lowest heating demand is obtained with ACM_A1 (91.64 kWh/m 2 year), and the lowest annual demand is achieved with CER_A1 (112.20 kWh/m 2 year). It should be noted that the results from applying the dark colour aluminium composite on the outer skin, hollow ceramic brick with lime cement plaster inside and no insulation (ACM_C1), and CER_A1 are quite similar, 112.20 kWh/m 2 year and 112.30 kWh/m 2 year respectively, both with insulation. Similar performance is found in Zone 1. Total energy demand in Zone 3 is lower than that in Zones 1 and 2, although the cooling demand increases. The best option for this case study is (CER_E2) with insulation and solid ceramic brick inside, although the result is very close to CER_A1's in Zones 1 and 2. Zone 4's climate conditions led to the highest winter energy demand. For these conditions, the optimal solution is the light colour ceramic external layer and inner layer with hollow ceramic brick, lime cement plaster and no insulation (CER_C2), which has the lowest annual demand (22.37 kWh/m 2 year). This work confirms that, for specific warm climates, no insulation is best to decrease the annual energy demand [33]. Outer thermal insulation in office buildings has a negative impact in hot Brazilian climates, increasing the energy consumption for cooling, partly due to the lack of internal heat dissipation to the outdoors. In Zones 5, 6, and 8, the lowest energy demand is achieved with Sustainability 2020, 12, 7635 10 of 15 CER_C2, which is not insulated. In Zone 5, the annual heating demand is quite low, similar to Zone 6, whereas in Zone 7 and Zone 8, no heating demand is required.
The impact of surface colour on energy consumption is not significant, although in colder regions the use of dark colours in non-insulated façades performs best, whereas light colours are better in hotter regions (see Table 6, CER_C2 from Zone 1 to Zone 8).
The optimal solution, regardless of the climatic zone, is CER, varying its performance with the inner configuration, except for Zone 7, where the best result is obtained with STO_C2, although this is quite close to CER_C2.
In the hottest area, Zone 8, no heating is required, and the lowest energy demand is obtained with CER_C2, (102.13 kWh/m 2 K), whereas the highest energy demand is achieved with ACM_C1, reaching 130.92 kWh/m 2 K, both cases without insulation in the inner skin. Figure 3 shows the temperature across the North façade in Zone 8, where cooling is the only requirement, under the conditions provided by four different constructive solutions, two without insulation (a and b) and two with insulation (c and d). In order to compare the results, data on 12 June at 10:00 a.m. where used. Cases a and b are the best and worst solutions, with CER_C2 and ACM_C1, respectively. In the image, the external layer's effect on thermal performance can be seen, reaching a temperature difference of over 10 • C. Cases c and d show the thermal behaviour with an internal insulated layer combined with two different external layers (CER_A1 and ACM_A1). Comparing temperatures between c and d, it is possible to see that temperature is lowest with CER_A1, where the outer surface temperature inside the camera is almost 10 • C lower than with ACM_A1.
Sustainability 2020, 12, x 9 of 11 Figure 3 shows the temperature across the North façade in Zone 8 , where cooling is the only requirement, under the conditions provided by four different constructive solutions, two without insulation (a and b) and two with insulation (c and d). In order to compare the results, data on 12 June at 10:00 a.m. where used. Cases a and b are the best and worst solutions, with CER_C2 and ACM_C1, respectively. In the image, the external layer's effect on thermal performance can be seen, reaching a temperature difference of over 10 °C. Cases c and d show the thermal behaviour with an internal insulated layer combined with two different external layers (CER_A1 and ACM_A1). Comparing temperatures between c and d, it is possible to see that temperature is lowest with CER_A1, where the outer surface temperature inside the camera is almost 10 °C lower than with ACM_A1.  Figure 4 shows the temperature inside the ventilated air gap in the north façade both for summer and winter conditions in different climatic zones. The selected façade's constructive solution achieved the lowest energy demand in the simulation, although it is possible to see the effect of the outdoor temperature and the solar radiation during the day on the inside temperature. In Zone 2, it should be noted that the air chamber temperature increases with height, being highest on the fourth floor. In winter, the top floor can reach 35 °C for CER_A1 in less than four hours, due to the rapid air gap temperature rise. The air cavity´s inner temperature increases over 12 °C, whereas in summer, the temperature increment inside the air cavity is lower than 3 °C during the day. The results obtained in Zone 1 and Zone 3 are like those in Zone 2 because of the climate similarity. In Zone 5, it can be seen that the inner air gap's temperature is quite close to the outdoor temperature in winter, which demonstrates the efficient ventilation system; also, the overheating produced by solar radiation has no influence on the cavity. In summer, the reverse effect is produced and lower temperatures inside the cavity are obtained, because of the efficient ventilation and the lack of solar radiation. Similar thermal behaviour is found in Zone 4, Zone 5, and Zone 6. In Zone 7, the inner cavity's temperature is lower than the external temperature both in winter and summer, and the results in Zone 8 are very similar.  Figure 4 shows the temperature inside the ventilated air gap in the north façade both for summer and winter conditions in different climatic zones. The selected façade's constructive solution achieved the lowest energy demand in the simulation, although it is possible to see the effect of the outdoor temperature and the solar radiation during the day on the inside temperature. In Zone 2, it should be noted that the air chamber temperature increases with height, being highest on the fourth floor. In winter, the top floor can reach 35 • C for CER_A1 in less than four hours, due to the rapid air gap temperature rise. The air cavity´s inner temperature increases over 12 • C, whereas in summer, the temperature increment inside the air cavity is lower than 3 • C during the day. The results obtained in Zone 1 and Zone 3 are like those in Zone 2 because of the climate similarity. In Zone 5, it can be seen that the inner air gap's temperature is quite close to the outdoor temperature in winter, which demonstrates the efficient ventilation system; also, the overheating produced by solar radiation has no influence on the cavity. In summer, the reverse effect is produced and lower temperatures inside the cavity are obtained, because of the efficient ventilation and the lack of solar radiation. Similar thermal behaviour is found in Zone 4, Zone 5, and Zone 6. In Zone 7, the inner cavity's temperature is lower than the external temperature both in winter and summer, and the results in Zone 8 are very similar. The effect of solar radiation can be seen in Figure 5, which shows the building's north and south façades with the highest temperature swing produced for ACM_A1 in winter, both for Zone 8 and Zone 1. As is widely accepted, higher temperature differences lead to higher ventilation rates in this case leading to lower natural ventilation in the South façade. The highest air temperature swing is produced in the North façade, where the maximum temperature swing is 35.64 °C for Zone 1 and 23.81 °C for Zone 8. The lowest temperature swing is produced in the South façade, which in Zone 1 is 1.36 °C and in Zone 8 is 2.87 °C. The effect of solar radiation can be seen in Figure 5, which shows the building's north and south façades with the highest temperature swing produced for ACM_A1 in winter, both for Zone 8 and Zone 1. As is widely accepted, higher temperature differences lead to higher ventilation rates in this case leading to lower natural ventilation in the South façade. The highest air temperature swing is produced in the North façade, where the maximum temperature swing is 35.64 • C for Zone 1 and 23.81 • C for Zone 8. The lowest temperature swing is produced in the South façade, which in Zone 1 is 1.36 • C and in Zone 8 is 2.87 • C. The effect of solar radiation can be seen in Figure 5, which shows the building's north and south façades with the highest temperature swing produced for ACM_A1 in winter, both for Zone 8 and Zone 1. As is widely accepted, higher temperature differences lead to higher ventilation rates in this case leading to lower natural ventilation in the South façade. The highest air temperature swing is produced in the North façade, where the maximum temperature swing is 35.64 °C for Zone 1 and 23.81 °C for Zone 8. The lowest temperature swing is produced in the South façade, which in Zone 1 is 1.36 °C and in Zone 8 is 2.87 °C.

Conclusions
In the current study, a transient model validated with TRNSYS has been used to analyse the OVF's air gap thermal behaviour under a range of climatic conditions in Brazil for one year. The climatic data used here were taken from a typical meteorological year in eight different Brazilian zones. The simulation results show that the façade's thermal behaviour is strongly related to orientation and climatic conditions. However, in general terms, the external layer with ceramic tiles is the most energy efficient option for almost all the analysed case studies, obtaining the lowest energy demand in the eight zones. Overall, the least energy efficient results are those from stone (STO) and ACM and it is worth noting that lighter colours reduce such differences, being suggested in hot climates, especially for façades without thermal insulation where the colour's effect is higher than in insulated façades. Also, the air cavity's thermal behaviour is strongly influenced by solar gains. In Figure 6, the best OVF for each climatic zone have been summarized.

Conclusions
In the current study, a transient model validated with TRNSYS has been used to analyse the OVF's air gap thermal behaviour under a range of climatic conditions in Brazil for one year. The climatic data used here were taken from a typical meteorological year in eight different Brazilian zones. The simulation results show that the façade's thermal behaviour is strongly related to orientation and climatic conditions. However, in general terms, the external layer with ceramic tiles is the most energy efficient option for almost all the analysed case studies, obtaining the lowest energy demand in the eight zones. Overall, the least energy efficient results are those from stone (STO) and ACM and it is worth noting that lighter colours reduce such differences, being suggested in hot climates, especially for façades without thermal insulation where the colour's effect is higher than in insulated façades. Also, the air cavity's thermal behaviour is strongly influenced by solar gains. In Figure 6, the best OVF for each climatic zone have been summarized. The best OVF design parameters for the external and internal layers of an office building's envelope under different climatic conditions have been determined here. The findings suggest that OVF will be efficient to reduce the cooling demand in hot climates where the temperature inside the air camera is lower than the outdoor temperature. The lowest energy values are those from the façades with the best thermal behaviour in the warmest regions (Zones 4, 5, 6, 7, and 8). This fact is highly relevant for future investments in Brazil, given that it is a developing country and the investment needed for OVF is substantial. Also, in the coldest regions (Zones 1, 2, and 3), the optimum solution for energy demand is higher due to thermal isolation.
For future investigations, it is possible to improve this study by controlling the dimensions of the air openings, the width of the air chamber, and its emissivity.

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

Appendix A
The heating and cooling energy demand, calculated for the different façades conditions proposed here, are summarised in Table A1. The best OVF design parameters for the external and internal layers of an office building's envelope under different climatic conditions have been determined here. The findings suggest that OVF will be efficient to reduce the cooling demand in hot climates where the temperature inside the air camera is lower than the outdoor temperature. The lowest energy values are those from the façades with the best thermal behaviour in the warmest regions (Zones 4, 5, 6, 7, and 8). This fact is highly relevant for future investments in Brazil, given that it is a developing country and the investment needed for OVF is substantial. Also, in the coldest regions (Zones 1, 2, and 3), the optimum solution for energy demand is higher due to thermal isolation.
For future investigations, it is possible to improve this study by controlling the dimensions of the air openings, the width of the air chamber, and its emissivity.

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

Appendix A
The heating and cooling energy demand, calculated for the different façades conditions proposed here, are summarised in Table A1.