Wind-driven rain incidence parameters obtained by hygrothermal simulation
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The association of rain and wind composes wind-driven rain (WDR), and its incidence may be crucial to the emergence of anomalies on the facades of buildings. Moisture from the WDR can influence the humidification and drying process, therefore the durability and hygrothermal performance are conditioned by the amount of incident water. The quantification of WDR can be an indispensable tool for understanding its related phenomena and the service life of buildings. The most widely used methods of quantification are the semi-empirical, with theoretical basis, but coefficients partially determined from measurements. These methods may take into account the building exposure conditions related to the envelope, solar orientation, height of the building, and other parameters. In this context, in order to contribute to the studies on quantification of WDR, the purpose of this paper is to apply hygrothermal simulation software WUFI® on quantification of WDR focusing on buildings degradation of Brasília-Brazil. For the simulation it was used a Typical Meteorological Year file with the wind and precipitation measurement data indispensable for simulation. The quantification of incidence of WDR considered the orientations North, Northeast, East, Southeast, South, Southwest, West, and Northwest. The use of semi-empirical WUFI® quantification method allowed finding the highest values and consequently critical orientations North, Northwest, and Northeast, moreover, this results showed the relation with the degradation of facades in these orientations. WUFI proved to be an easy, fast and efficient method of WDR quantification, without hiding seasonal weather effects.
KeywordsDegradation Wind-driven rain Hygrothermal simulation Facade
Moisture may be the main degradation agent of buildings. Corrosion, cracks, infiltration, efflorescence, leaching, staining, and detachments of coatings are some anomalies related to it. Moisture is from the most diverse possible sources, as Straube  highlights: liquid water from precipitation or plumbing leaks, water vapor from exterior and activities/process, liquid and vapor from the soil, but also moisture from construction.
Water incidence in facades can affect the durability and hygrothermal performance of buildings. Presence of moisture in the walls increases thermal conductivity, consequently reducing thermal resistance. Thus, facades are more susceptible to the action of heat. These findings, among others, make the understanding of hygrothermal behavior as a useful task on decision-making process associated to actions in face of exposure conditions of each building, with the goal to decrease problems related to moisture and energy efficiency .
Constructive aspects relevant to design and construction of walls as design details, characteristics of components, type of surface finish, etc. affect behavior of porous materials when influenced by moisture. The penetration and transport of moisture in the facade depends on several factors acting together, such as: temperature, variation in relative humidity, incidence of solar radiation and precipitation. Furthermore, these factors are also agents that can cause natural degradation of the envelope of buildings .
Facades are the first part of the building to receive the incidence of degradation agents. Components of these systems are subject to physical, chemical and biological deterioration who causes the reduction of service life. In this context, the environment around the building influences on the durability of the envelope, predominantly as a result of the action from climate factors.
The association of rain and wind called wind-driven rain (WDR) is a climate factor and can be considered the main source of moisture on the facades of buildings . Both the water deposited on the surface and the portion that penetrates are causes of facades’ deterioration mechanisms, and also wind and precipitation influence these aspects, in addition to the characteristics of building envelope .
In recent decades, the complexity of WDR phenomena, as well as the emergence of anomalies due to moisture action caused the intensification in studies on quantification of WDR. The understanding of the phenomena related to these aspects improves the knowledge of external factors that influence facades durability. Therefore, the estimation of WDR is a useful tool for design of buildings to avoid premature anomalies of components and systems . These results, can also be used as an auxiliary tool in facades degradation studies or even the definition of maintenance strategies. Other tools in this context are: infrared thermography [6, 7], laboratory experiments on evaluation of water transport, shrinkage and expansion of cementitious materials  and smaller building models , among others.
Within this context, the purpose of the paper is to apply hygrothermal simulation on quantification of WDR focusing on buildings degradation studies. This is a new perspective of using this tool, which is often used in studies of thermal comfort, energy efficiency, identification of condensation and others [2, 10]. Furthermore, it presents and discusses the WDR semi-empirical quantification method used by hygrothermal simulation software WUFI® Pro 5.3., applied to the case of Brasília-Brazil.
WDR is the amount of rain that passes through a vertical plane in the atmosphere, and it occurs because of the raindrops path is the result of gravitational forces and wind speed. Furthermore, raindrop size influences the rainfall rate .
The study of WDR consists in two different moments: (1) seconds before the raindrop impact on the surface of the envelope (quantification of WDR loads), and (2) on the evaluation of the building system response to this impact . For the former, the main constraints are: urban and building geometry; geometry, detailing and placement of the facade and meteorological variables involved (wind speed and direction, rain intensity and size distribution of raindrops) . When studying the response of the system to WDR, besides knowing parameters that govern the intensity of agents on the facade the properties of materials in relation to transport and moisture storage are important to define.
Measurements are protracted, expensive and often impractical for their peculiarities, therefore, they are less used. CFD models are very complex too, and for this reason its results are not obtained faster than semi-empirical. As presented by Blocken and Carmeliet  among the semi-empirical methods, those highlighted are models of ISO 15927-3:2009, Straube and Burnet model, model of ANSI/ASHRAE STANDARD 160:2009, and due to an increase in the use WUFI® model (which is related in this paper) can be considered. When the methodologies are compared each one leads to different amounts of WDR, and it can significantly alter the moisture content in the calculated materials . These data are important for the hygrothermal simulations, since the insertion of values, which do not reflect reality can affect output results. Consequently, it affects the latter moment of study of WDR (evaluation of impact response).
Generally, parameter α changes in each model of WDR calculation, and its value varies from 0.02 to 0.26 s/m . Additionally, with this model is possible, for example, to calculate the values times a day, and monthly or annual sum. The insertion of the wind direction and speed angle for different regions allows specific calculations for each facade of the building.
Research procedure consists in two parts, the former presents WUFI® method for quantification of WDR, and the latter shows the definition aspects for the case study.
WUFI® WDR calculation method
After calculation of WDR values, software considers that only 70 % is available to be absorbed by the facade. The rain water able to penetrate into the facade may be less than half the expected value, and the other half can be lost in trajectory deviations by wind flow and because of constraints . Then, values can be useful for the study related to the system’s response in relation to storage and moisture transport, as mentioned in Sect. 2.
Methodology of collection and processing data
The case study is the city of Brasília, the capital of Brazil, and it conditions all the definition of information for simulation on WUFI® Pro 5.3. As mentioned on the Sect. 3.1, WUFI® method requires hourly data for rainfall and wind. So, it was used the Typical Metereological Year (TMY) weather file developed by Roriz . This file has 8760 climatic data related to a typical year, and it was drawn from 10 years of measurements of INMET (National Institute of Meteorology of Brazil). The same platform presents files for 411 Brazilian cities, moreover, the software has a large number of TMY files in its database: 85 cities in Europe, 64 in North America, 14 in Oceania, 7 in Japan and 2 in South America.
Then, definition of other aspects of the simulation is required, such as the facade’s cardinal or intermediate orientations, surface inclination, and height of the studied region. Orientations North (N), Northeast (NE), East (E), Southeast (SE), South (S), Southwest (SW), West (W) and Northwest (NW) were studied. In addition, as the case study consider just facades, the inclination adopted was 90°, which results in a R1 coefficient of zero, as described in the Sect. 3.1.
As the urban plan just allows buildings up to six floors, it was considered the height between 10 and 20 m as a representative of study area. This variable is important for the definition of R2 coefficient (0.1).
After the characterization of variables in question, the simulation was done, and the results are arranged in the form of Excel spreadsheet to be interpreted and discussed through tables and graphs.
Results and discussion
WDR obtained by WUFI® method in each orientation (mm/month)
In June, there is no WDR for none of studied orientations, and this month is part of a period that can be called as dry (less or no rain) that occurs between April and September. The other period called as wet occurs between October and March, the months of November and December had the highest WDR values, especially for facades NW, N, W and NE.
With the annual sum shown in Table 1 and the graphic representation of Fig. 5 is possible to identify the facades that received more incidence of WDR. In percentage, classification in the following order is: N (18 %), NW (17 %), NE (14 %), E (12 %), W (12 %), SE (11 %), S (10 %) and SW (7 %).
The incidence of WDR may cause higher degradation levels on the facades disposed in the orientations with more incidence of this variable. As mentioned on Sect. 1, problems related with infiltration, efflorescence, staining and detachments on facades are related to moisture. It can be confirmed in the results of Silva  and Souza  for Brasília case that found the overall order of degradation according to facades orientations: N, W, E and S. These authors identified on ceramic tile claddings higher occurrence of detachment, cracking, efflorescence and fail of joints in the N orientation, which is the main incidence of WDR. Obviously, radiation also influences the natural degradation process, but WDR plays an important role due to the fact that this agent is the main source of moisture in the facades.
According to results N, NW and NE facades orientations may have a tendency to possess the worst conditions of degradation, due to the presence of moisture associated with WDR. The results presented by WUFI® can be a useful tool on design process and during the service life of building, mainly to establish definitions of priorities of preventive maintenance plans. These strategies allow a reduction in repair costs, and influence on increasing of service life of facades by means of appropriate performance conditions.
This paper aims to apply the hygrothermal simulation on quantification of WDR focusing on buildings’ degradation. A study on quantification of WDR was presented to the city of Brasília-Brazil, using the method proposed by WUFI® Pro 5.3 software. Thus, it was possible to obtain the following conclusions.
The most critical orientations for WDR incidence to the case of Brasília were N, NW and NE, with the percentage of incidence of 18, 17 and 14 %; respectively. These orientations may have the tendency to present anomalies related to moisture and the worst conditions of degradation as confirmed in previous studies. The other orientations had the occurrence: E (12 %), W (12 %) SE (11 %), S (10 %) and SW (7 %).
Values obtained can be used as design parameters in order to assist designers regarding the most critical guidelines and allow decisions to be taken in these orientations. As well as to associate the critical orientations with facades’ degradation degree. Moreover, as an auxiliary tool in the diagnosis of anomalies, as well as degradation quantification methods and defining maintenance aspects. Then, it is suggested to use the hygrothermal simulation software as tool for quantification of climatic agents, and later facades degradation comparison.
Finally, these results showed the importance of WUFI® method, as well as the rain WDR quantification methods. The WUFI® proved to be an easy useful tool and able to quantify the WDR, without hiding seasonal weather effects. The wet period was the most responsible for incidence of WDR, representing 75 %. Moreover, the software has several other features related to the hygrothermal performance of materials to be studied. Faced with this, it is suggested the comparison of other methods considering several world cities, in order to check what the best one, for WDR accounting according to orientations of facades.
The authors would like to thank the University of Brasília (UnB), the Postgraduate Program in Structural Engineering and Construction (PECC), as well as Materials Testing Laboratory (LEM), and National Council for Scientific and Technological Development (CNPq).
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