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Article

Diffusion Characteristics of Solar Beams Radiation Transmitting through Greenhouse Covers in Arid Climates

1
Department of Agricultural Engineering, College of Food and Agriculture Sciences, King Saud University, P.O. Box 2460, Riyadh 11451, Saudi Arabia
2
Department of Plant Production, College of Food and Agriculture Sciences, King Saud University, P.O. Box 2460, Riyadh 11451, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Energies 2020, 13(2), 472; https://doi.org/10.3390/en13020472
Submission received: 2 December 2019 / Revised: 28 December 2019 / Accepted: 16 January 2020 / Published: 18 January 2020
(This article belongs to the Section G: Energy and Buildings)

Abstract

:
In hot and sunny regions, extensive solar radiation transmitted into greenhouses makes it essential to select a greenhouse cover with specific characteristics. Reflection and diffusion are the most important properties of covers for reducing solar heating load and scattering solar beams for better growth of plants. Three types of plastic films that are commonly used for covering greenhouses in arid climate were selected for this study. These were reflective-diffusive (RDF), diffusive (DF), and locally produced (CF) films. The films were used to cover three identical twin-span greenhouse models; the radiation components, air temperature (Ti), and relative humidity (RHi) were measured in each model. Transmission of solar radiation through each cover was characterized by determining: (i) The beam that is diffused during transmission, and (ii) the unscattered beam that is transmitted directly through the film. The results show that the diffuse radiation transmitted through the DF, RDF, and CF covers was enhanced, respectively by 77%, 85%, and 109% as a result of diffusing 34%, 33%, and 43% of the transmitted beam radiation by the DF, RDF, and CF covers, respectively during transmission. The diffusive nature of the tested covers increased the ratio of diffuse to direct beam radiation (D/B) from 0.3 outside the greenhouse to 0.77, 0.69, and 0.95 inside a greenhouse covered with DF, RDF, and CF, respectively. At around noon, the CF cover decreased Ti by about 5–10 °C and increased RHi by about 3%–5% compared to those under the DF and RDF covers. However, DF and RDF covers showed almost similar effects in Ti and RHi. The low-price CF cover showed higher diffusive-radiative properties than DF and RDF covers and can serve effectively in arid climate as an alternative covering material.

1. Introduction

During the last decade, greenhouses have been extensively used for crop production in hot and sunny (arid) regions to provide a suitable environment for plant growth [1]. This is because in arid regions, as in the Arabian Peninsula, high solar irradiance (up to 1200 W m2 around noon), high air temperature (above 45 °C), and low relative humidity (below 15%) are the common weather during most of the months [2,3]. This, in addition to the high salinity and scarcity of water resources in arid regions, make growing crops in open fields very difficult [3,4]. Due to the extremely high ambient air temperature in summer, the inside greenhouse air temperature exceeds 50 °C and therefore, cooling the greenhouse air becomes extremely important for controlling the microclimate to appropriate levels for crop growth [1,3,5]. In addition to the well-known evaporative cooling and shading methods, the heat prevention method is also used for cooling the greenhouse air in hot and sunny regions (arid climate) [5]. Through heat prevention methods, the radiation heat load can be reduced before it enters the greenhouse by excluding a portion of the incident solar radiation on the greenhouse cover [5,6]. This is accomplished by using selectively reflecting films (i.e., reflecting the near infra-red radiation, NIR, and transmitting photosynthetically active radiation, PAR) or totally reflecting films to reflect a portion of solar radiation over the whole solar radiation spectrum band (200–2500 nm) [7]. The NIR-reflecting film covering a greenhouse reduces the inside greenhouse air temperature by 1–2 °C at around noon and by 4–5 °C in the morning and afternoon [8]; however, the lifetime of these covers is very short (few months) due to the NIR reflective additives added to the polymers [5,7,8]. In addition, the temperature reduction is not enough in regions where the ambient temperature exceeds 45 °C in summer. One of the main characteristics of greenhouse covers is the diffusive power of the film that enables it to forward scatter (diffuse) solar beam radiation during transmission. This allows plants in the greenhouse to receive solar light (photosynthetically active radiation, PAR: 400–700 nm) homogeneously from all sides [9,10]. Therefore, the extent to which the transmitted beams radiation into the greenhouse is diffused can be of considerable importance for increasing the interception of solar visible light (PAR) by plants and consequently, stimulating photosynthesis [11,12]. Recently, several companies worldwide have begun producing several types of long-life reflecting and diffusing films for covering greenhouses in hot climates [9,10]. Growers select covers based on crop, outside climate in which the greenhouse is located, and market situation [9]. These types of films are commercially available in local markets; however, their suitability for covering greenhouses in hot and sunny regions and their transmission characteristics need to be addressed properly to explore the performance of these films under arid climatic conditions. The reflection and diffusion characteristics of solar beam radiation depend on solar elevation and its intensity, and the radiochemical properties of the film itself, such as the type of additives and microstructure of the film material. Research groups have investigated the effects of diffuse solar radiation and its spatial distribution in the greenhouse on the crop yield, morphology, and productivity [9,10,11,12]. However, their studies used greenhouses under climatic conditions different from the arid climate. Based on our knowledge, studies describing the characteristics of solar radiation transmitted through plastic film covering materials under arid climatic conditions are not available.
In the previous studies, the fraction of diffuse radiation that is transmitted into a greenhouse is usually derived from the diffuse incident radiation and the cover transmittance to diffuse radiation [13,14,15,16,17,18,19,20]. Due to lack of information, these studies have neglected the diffusion effect of the covering materials on the solar beam radiation. Yet, most cover films diffuse a considerable amount of beam radiation during transmission. This means that the fraction of diffuse radiation under a plastic film cover is higher than that over the cover. Few studies assumed that a portion of the beam radiation transmitted through a plastic film cover scatters forward diffusively (diffused beams) and that the remaining portion is transmitted directly (unscattered beams) [21,22,23]. The transmission mechanism and the different components of solar radiation transmitted through a plastic film covering greenhouse are illustrated in Figure 1. The incident atmospheric diffuse radiation (Di) is transmitted through the cover diffusively (Dt). A portion, σ, of the transmitted beam radiation (Bt) scatters forward during transmission (i.e., diffused beam, σBt) and adds to the transmitted diffuse radiation. The remaining portion, (1-σ)Bt, is transmitted directly as beams (unscattered beams, Bu). In general, for greenhouse covering, the reflective film is usually used for reducing the solar heating load, as well as the inside greenhouse air temperature and the diffusive film is used for enhancing the diffuse radiation in the greenhouse.
The aim of this study was to answer three questions: (i) Is the diffusive film able to reduce the inside greenhouse temperature due to diffusion? (ii) is the reflective film able to diffuse the beam radiation too? and (iii) what are the transmission characteristics of these films in dry and intensive solar radiation conditions (arid climate)? Therefore, three types of films that are commonly used for covering the greenhouses in the Arabian Peninsula were selected for this study. The films were: A locally produced film as control treatment (CF), a diffusive film (DF), and a reflective-diffusive film (RDF). The three films were used to cover three identical small-scale, twin-span, crop-free experimental greenhouse models. The three covers were evaluated in order to (i) characterize the different components of solar radiation transmitted through each film, (ii) determine the capability of each film to diffuse beam radiation, and (iii) determine the capability of each film to improve the inside of greenhouse environment.

2. Materials and Methods

2.1. Theoretical Analysis

A common method for determining the radiative properties of a plastic film related to diffuse solar irradiance is to fix two pyranometers above and below the film and prevent the direct beam component from reaching the pyranometers and the film under test. In this case, the two pyranometers detect the diffuse radiation below and above the film. To determine the direct beam and diffuse radiation components simultaneously, two pyranometers are used. One is used to measure the global radiation (Si) and the other is shaded using an opaque disk (shaded pyranometer hereafter) to detect the diffuse component (Di) at the same time [22]. The disk will prevent a part of the diffuse solar radiation from reaching the pyranometer dome; therefore, a correction factor (Fc > 1) is used. Thus, for the measured global (Si) and diffuse (Di) radiations incident on a cover surface, the direct beam component (Bi) is
B i = S i D i
As shown in Figure 1, during the transmission of solar beam radiation through a plastic film, a portion of the incident beam is diffused forward as it passes through the film. This means that a fraction σ of the transmitted beam (Bt) is diffused. The fraction σ (called the diffusion coefficient) is defined as the ratio of the beam radiation scattered diffusively during transmission to the total beam transmitted [22]. Thus, the measured diffuse transmitted radiation (Dtot) will include this portion (Figure 1). Therefore,
D t o t = D t + σ B t
The remaining portion of the transmitted beam radiation will pass directly through the film (unscattered beams, Bu). The amount of this portion is equal to (1 − σ)Bt and according to Figure 1, this portion is given by
( 1 σ ) B t = S t D t o t
The value of the total beam transmitted (Bt) cannot be measured directly because a portion σ of this beam is diffused during transmission, whereas the incident components (Si and Di), as well as the transmitted components (St and Dtot) can be measured by using the two pyranometers method. The ratio of the measured parameters (Dtot/Di) gives an apparent transmittance ( τ ¯ D ) of a plastic film to diffuse solar radiation ( τ ¯ D is higher than one for diffusive plastic films). However, the true transmittance of a plastic film to diffuse radiation ( τ D = D t / D i ) is usually estimated by exposing the film and the measuring devices totally to diffuse radiation and measuring values of Di and Dt under such conditions. Combining and modifying Equations (2) and (3) gives the diffusion coefficient (σ) as a function of measured parameters as
σ = ( D t o t τ D D i ) / ( S t τ D D i )
The diffusive films are designed to diffuse a considerable amount of beam radiation during transmission. Thus, the diffusive film cover should enhance the transmitted diffuse radiation and the enhancement percentage (E) can be estimated as [22] by
E = ( τ ¯ D / τ D 1 ) × 100

2.2. The Three Films Tested

Three types of plastic films that growers commonly use for covering greenhouses in hot and sunny regions were selected for this study. Two films were supplied by Plastika Kritis SA (Iraklion Crete, Greece): (i) PE-EVA diffusing film (DF), with pearl-based pigments to highly diffuse radiation, and (ii) PE-LLDPE reflective-diffusive film (RDF), which contains tiny aluminum particles to reflect the NIR solar spectrum. The two films include anti-drip additive, and their optical properties were measured after removing this additive from the film’s surface (the supplier’s information). The third was PE-LD film, locally produced by Napco Modern Plastic Products Company-Sack Division Ltd., (Dammam, Saudi Arabia). The locally produced film (CF) was used as a control for comparison. The three films included different additives such as UV-stabilizer, antioxidant, plasticizer, etc. However, the exact compositions of these films were kept confidential by the suppliers. The available information about these films is summarized in Table 1.
Most of the suppliers did not provide accurate and sufficient technical information about their products; however, such information is essential for the designers and decision-makers to select a film for specific applications. Therefore, radiometric characterization for these films was performed. The spectral transmittance ( τ λ ) and reflectance ( ρ λ ) of each film were measured at normal incidence using a Black-Comet (Stellar Net Inc., Tampa, FL, USA) spectrophotometer, scanning between 200 and 2700 nm at 0.5 nm intervals in the UV–VIS–IR range and illustrated in Figure 2a,b, respectively. For each film tested, the measured data were averaged over each 5 nm interval and integrated over 200–2700 nm to obtain the total transmittance (τg) and reflectance (ρg) of films to global solar radiation. In addition, the spectral transmittance (Figure 2a) was integrated over 400–700 nm to obtain the film transmittance to the photosynthetically active radiation, PAR ( τ P A R ) and over 700–2700 nm to obtain the film transmittance to near infra-red radiation, NIR ( τ N I R ). The results of these integrations are illustrated in Table 2. The three films were used to cover three identical small-scale, twin-span, crop-free greenhouse models (Figure 3) to conduct the experiment for evaluation.

2.3. Experimental Procedures and Measurements

Three experiments were conducted at the Agricultural Research and Experiment Station, Agriculture Engineering Department, King Saud University (Riyadh, Saudi Arabia, 46°47′ E, longitude and 24°39′ N, latitude). The first experiment was conducted to the three twin-spans greenhouse models, covered with the DF, RDF, and CF (one for each model) from 28 September to 3 October 2019. The second experiment was conducted during 6–7 October 2019 to examine the effect of tilting the shaded pyranometer on a horizontal plane on the pyranometer measurements. The third experiment was conducted from 14–17 October 2019 to determine the correction factors for the shaded pyranometers used inside and outside the three models. Details of the three experiments are in the following section.

2.3.1. Experiment in the Three Greenhouse Models

Three identical twin-spans greenhouse models were used; the outline dimensions of the models are illustrated, not to scale, in Figure 3. The three models were covered simultaneously with the diffusive film (DF), the reflective-diffusive film (RDF), and the locally produced film (CF). The three models were naturally ventilated using square holes (10 × 10 cm) made in the cover films; the models were oriented in the N–S direction (Figure 3). The air temperatures and relative humidity inside and outside each greenhouse model (Ti, RHi, To, and RHo) were measured with DMA033 thermo-hygrometers (LSI Lastem, Milano, Italy). Eight CMP3 pyranometers (Kipp & Zonen B.V. Inc., Bohemia, NY, USA) were used, “each having a time response of 18 s, a maximum error of ± 2%, a sensitivity of 5–20 µV/W m−2, a working temperature range of −40 to + 80 °C, and a wavelength range of 310–2800 nm”. Four of them were shaded with black-painted wooden disks, 32 cm in diameter, (shaded pyranometers), to be installed inside and outside the greenhouse models (one for each model) for measuring the diffuse radiation outside (Di) and inside (Dtot) each model. To conscientiously shade the pyranometer sensors in the shaded pyranometers, the pyranometer-disks configuration (as the pyranometer number (1) in Figure 4) was manually oriented toward the sun disk and adjusted every 20 min to make the incidence angle of solar beam very close to zero. The remaining four pyranometers were kept unshaded for measuring the global radiation inside and outside the greenhouse models (Si and St). The measurements were made every minute, averaged over 15 min intervals, and recorded in a data logger (LI-1400, 9 channels, LI-COR, Inc., Lincoln, Nebraska, USA). The measuring devices had been calibrated before use by the supplier.

2.3.2. Experiment to Examine the Effect of Tilting on the Shaded Pyranometer Readings

During the daytime, the global incident solar radiation flux (Si) is usually measured by a pyranometer fixed in a horizontal plane. Tilting the pyranometer will affect the measured value of Si according to the tilting angle on the horizontal plane. On the other hand, the shaded pyranometer used to detect the incident and transmitted diffuse radiation (Di and Dtot) was tilted according to the sun elevation to keep the pyranometer dome always shaded during measurements. Since the diffuse radiation incidents and transmits diffusively and the pyranometer receives diffuse radiation from the whole directions, previous studies assumed that the effect of the pyranometer tilting on the measured values of Di and Dtot is insignificant and can be neglected [22,23]. To emphasize this assumption, an experiment was conducted to measure Di using three pyranometers, fixed on three positions (horizontally tilted at 45 and 90° on the horizontal plane). During two days of measurements, the measured values of Di by the three pyranometers were almost similar (data are not shown); the average absolute difference (max–min) between Di of the three positions was 3.2 Wm−2. This assures the accuracy of the assumption that tilting a pyranometer measuring diffuse radiation up to 90° on the horizontal plane does not jeopardize the accuracy of measurements.

2.3.3. Experiment for Determining the Correction Factors of the Shaded Pyranometers

The upper disk of the shaded pyranometer prevents a portion of diffuse radiation from reaching the pyranometer. Therefore, a correction factor (Fc) is used to compensate the diffuse radiation that was prevented by the upper disk. Four correction factors were required for the study. One was to correct the measured value of the incident diffuse solar radiation (Di) outside the greenhouse models (Fc-o). Additionally, three (Fc-DF, Fc-RDF, and Fc-CF) were to correct the transmitted diffuse radiation measured inside the greenhouse models (Dtot) covered with the DF, RDF, and CF films, respectively.
An experiment was conducted (Figure 4) to determine the values of Fc-o, Fc-DF, Fc-RDF, and Fc-CF. Shaded and unshaded pyranometers (number (1) and (2) in Figure 4) were fixed on the floor that was covered with a black cloth to eliminate the upward diffuse reflection. A black-painted wooden frame (150 × 100 × 50 cm) was covered with the three films (DF, RDF, and CF) for three consecutive days, one day for each film covering, and placed over the two pyranometers (Figure 4). In addition, an unshaded pyranometer was fixed on a wooden pillar beside the frame to measure the incident diffuse radiation (Di) over each film covering the wooden frame. In order to make the configuration, shown in Figure 4, receive diffuse solar radiation from all directions, a shading system was installed a few meters away from the frame. A detailed description of the shading system is reported in [22]. The experiment was conducted on clear sunny days (14–17 October 2019). The measurements of the three pyranometers in Figure 4 were recorded in the data-logger at 5 min intervals.
For each film tacked on the frame (Figure 4), values of Dtot under a film were measured by using pyranometers (1) and (2), (Dtot-1 and Dtot-2); then, the correction factor (Fc) for each film was estimated as Dtot-2/Dtot-1. The time course of the measured ratios Dtot-2/Dtot-1 (i.e., Fc-DF, Fc-RDF and Fc-CF) is plotted in Figure 5. To determine the correction factor for the shaded pyranometer outside the greenhouse model, the experiment was repeated on another day with the absence of films and frames, and the time course of the measured ratio of Dtot-2/Dtot-1 (Fc-o) is plotted in Figure 5. A mean value of 1.95 for the Fc-o was determined for the shaded pyranometer measuring Di outside the greenhouse model, and mean values of 2.05, 2.17, and 2.31 for Fc-DF, Fc-RDF, and Fc-CF were determined for the shaded pyranometers measuring Dtot under the DF, RDF, and CF, respectively.
In parallel to the correction factors, the value of the true transmittance to diffuse radiation ( τ D ) was measured for each film to be used in Equations (4) and (5). Therefore, for each film tacked on the frame (Figure 4), τ D is the ratio between Dt and Di (Dt/Di) measured by using pyranometers (2) and (3), respectively (Figure 4). The time course of the true transmittances ( τ D ) measured for the three films is depicted in Figure 6. Mean values of τ D as 0.77, 0.76, and 0.65 were determined for the CF, DF, and RDF covers, respectively.

3. Results and Discussion

3.1. Diffusion Characteristics of the Tested Films

One of the main advantages of using diffusive plastic films for covering greenhouses is their ability to diffuse a portion of beam radiation during transmission. Enhancing diffuse radiation would allow plants in the greenhouse to receive solar radiation from all sides for stimulating photosynthesis and better growth. The transmitted diffuse radiation fluxes (Dtot) in the three greenhouse models covered with the DF, RDF, and CF and that incident outside the greenhouse (Di) are illustrated in Figure 7a, and the unscattered beams incident (Bi) and transmitted (Bu) are illustrated in Figure 7b. Figure 7a shows that the three films increased the diffuse radiation inside the greenhouses much higher than the outside (Dtot > Di). The locally produced film (CF) shows the highest diffusive power, followed by the diffusive film (DF), then the reflective-diffusive film (RDF). For simplicity, the daily integral for the diffuse radiation fluxes (Dtot and Di in Figure 7a) and the unscattered beams radiation fluxes (Bu and Bi in Figure 7b) were determined. The outside incident Di and Bi were 5.0 and 17.0 MJ m−2, whereas the inside Dtot and Bu were 7.0 and 9.0 MJ m−2 under the DF cover; 6.0 and 8.6 MJ m−2 under the RDF cover; 8.3 and 8.7 MJ m−2 under the CF cover. Accordingly, the diffusive nature of the tested covers increased the ratio of diffuse to direct beam radiation (D/B) from 0.3 outside the greenhouse to 0.77, 0.69, and 0.95 inside a greenhouse covered with DF, RDF, and CF, respectively.
The two properties that describe the power of a film cover to diffuse solar beams radiation during transmission are the true and apparent transmittances ( τ D and τ ¯ D ). The time course of τ D is illustrated in Figure 6 to describe the transmittances of the three films to the incident diffuse radiation (i.e., Dt/Di in Figure 1), and by definition, the τ D value is usually less than one. However, the apparent transmittances ( τ ¯ D ) of the three film covers (i.e., Dtot/Di in Figure 1) are higher than one (Figure 8), because each cover film has converted a portion of solar beams to diffuse radiation during transmission. In Figure 8, the CF cover shows the highest capability to diffuse beams radiation followed by the DF and RDF covers. The value of τ ¯ D depends on the type of additives that were included to produce the film. Even though the RDF film cover was characterized by the producer as a reflective film, it also showed a diffusion property (Figure 8). In addition, the locally produced CF film serves mainly to resist the harsh weather conditions in arid regions; this cover showed a higher diffusive power than the DF and RDF covers (Figure 8). Based on the data in Figure 8, the daily averages of the apparent transmittance ( τ ¯ D ) were 1.62, 1.33, and 1.22 for the CF, DF, and RDF covers, respectively, compared to the true transmittance ( τ D ) values of 0.77, 0.76, and 0.65 in Figure 6.
The scattering or diffusion coefficient (fraction of the transmitted beam radiation that was diffused during transmission σ) was estimated for the three film covers by using Equation (4), and the diurnal variation of σ is illustrated in Figure 9. The value of σ depended on the microscopic structure of the cover film combined with the incidence angle of solar beam radiation. Scattering or diffuse reflection of beams radiation follows, in most cases, the reflection’s law; therefore, the value of σ increased with increase of the incident angle of the solar beam. In the early morning and late afternoon, most of the transmitted beams were diffused (Figure 9), and the value of σ is expected to reach one at sunrise and sunset times. The mean values of σ were estimated as 0.34, 0.33, and 0.44 for the DF, RDF, and CF covers, respectively. The three tested films enhanced the transmitted diffuse radiation. The percentage of diffuse radiation gained under the three film covers (E) was estimated using Equation (5) on a sunny day (30 September 2019) and the mean values of E were 77%, 85%, and 109% for the DF, RDF, and CF, respectively. These results indicate that the reflective-diffusive film (RDF) has a similar capability to diffuse beam radiation as the diffusive film (DF); however, the locally produced film (CF) diffused beam radiation much more than the DF and RDF films. For an overall evaluation, the main properties characterizing the three film covers are summarized in Table 2. The value of E (%) depends on τD and τ ¯ D ; therefore, as shown in Table 2, the RDF cover enhanced the transmitted diffuse radiation more than the DF cover, even though the τ D of the DRF was lower than that of the DF (Table 2).

3.2. The Microclimate under the Three Covers

Due to the greenhouse effect, the inside air temperature increases drastically during the daytime, much more than the outside air temperature. This, in turn, makes the relative humidity in the greenhouse lower than the outside. Figure 10 and Figure 11 illustrate the diurnal variation (for three consecutive days) of air temperature and relative humidity inside (Ti and RHi) and outside (To and RHo) the three greenhouse models, covered with the DF, RDF, and CF. The air temperature inside the three greenhouse models (Ti) on the first day (30 September 2019) was relatively lower than the other two days because the ventilation rate was higher on the first day (the front and back sides of each model cover were opened). Figure 10 shows that at around noon, the air temperature under the CF cover (Ti, CF) was about 5–10 °C lower than that under the DF and RDF covers (Ti, DF, and Ti, RDF). These results are in accordance with results reported in previous studies that used NIR-reflecting film covers for reducing the inside greenhouse air temperature. For example in the summer months of southern Spain, the NIR-reflecting plastic film covering reduced the inside greenhouse air temperature by 4.5 °C at noon [24]; another study in the same climate reported that a PE film cover with NIR-reflecting pigment reduced the greenhouse air by 3 °C at around noon, compared to the standard PE cover without additives [25]. NIR-reflecting film covering a greenhouse model reduced the inside air temperature by 2 °C at noon compared to a model covered with a standard film [26]. In the current study, the values of Ti under the DF and RDF covers were almost the same during the last two days. This is because the reflectance of the RDFg in Table 2) is only 5%–6% higher than the other films. Therefore, the RDF cover did not reduce Ti compared to the DF cover because the RDF cover reflectance was low. On the other hand, the RHi increases with a decrease in Ti; thus, RHi under the CF cover is relatively higher (3%–5%) than RHi under the DF and RDF covers during the daytime (Figure 11). Moreover, the DF and RDF covers did not improve (via increasing) the RHi (Figure 11), and the three films showed nearly the same effect in RHi during nighttime.
In greenhouses, in general, more than 70% of the transmitted solar radiation, St, (measured in Watt per unit area of floor surface) is transformed to sensible heat used to increase the greenhouse air temperature [27]. In the small-scale experimental greenhouse models (as the one used in the current study) the inside air volume to floor surface area ratio is low. Therefore, the Ti increase is high, as affected by the high solar radiation transmission per unit volume of air; consequently, the effect of the cover type in reducing the Ti and increasing RHi is insignificant. On the other hand, these effects are expected to be more significant with increases in the air volume to floor surface area ratio for large-scale and commercial greenhouses.
Comparing the CF cover with the DF and DRF covers, we found that (i) the CF cover is cheaper, however, its service life is shorter (Table 1), therefore, determining its financial impact is quite difficult; (ii) the CF cover shows a higher diffusion capability and a higher PAR transmissivity (Table 2), which are extremely important for crop growth; and (iii) even though the CF cover shows a higher global and NIR solar radiation transmission, the environment under this cover was the best (in terms of air temperature decreases and relative humidity increases). The better environment under the CF cover may be attributed to the high diffusion of the beams’ radiation during transmission through this cover. High solar beam diffusion may enhance the uniformity of the environmental parameters under the cover and increase the radiation loss from the greenhouse envelope and consequently, moderate the microclimate under the CF cover.

4. Conclusions and Recommendation

This study characterized the transmission of solar radiation through three types of plastic films that are commonly used for covering greenhouses in the Arabian Peninsula. These films were diffusive film (DF), reflective-diffusive film (RDF), and locally produced film (CF) as a control treatment. The characterization was based on a simplified theoretical analysis aided by measuring global and diffuse solar radiation, simultaneously, inside and outside greenhouse models that were covered with these films. Based on the presented results, the main conclusions may be summarized as follows:
  • The three films tested (i.e., CF, DF, and RDF) were able to diffuse the solar beams radiation transmitted through them; they diffused 43%, 34%, and 33% of the transmitted beam radiation, respectively, during transmission. The three covers increased the diffuse to direct beam radiation ratio from 0.3 outside the greenhouse models to 0.95, 0.77, and 0.69 under the CF, DF, and RDF covers, respectively.
  • Even though the reflectance of the RDF cover is 5%–6% higher than the CF and DF covers, it shows a similar effect on the inside greenhouse air temperature as the DF cover; however, the CF cover decreased the inside air temperature by about 5–10 °C (at around noon) and increased the relative humidity by 4%–5% compared to those under the DF, and DRF covers.
  • During nighttime, the three film covers show nearly the same effects on the air temperature and relative humidity inside the greenhouse models.
  • The CF cover shows a better performance in terms of diffusion and improving the microclimate inside the greenhouse model and this improvement is expected to increase with the increase in the greenhouse volume (i.e., large-scale and commercial greenhouses); this film cover can be used effectively in arid climates.
  • It is quite difficult to conclude the financial impact of using the CF cover because its low price is allocated with the relatively low service life of the film (Table 1).
Among the three covers tested, the CF had the highest global and NIR transmittance, low reflectance, and the highest diffusive capability (Table 2). These properties allocated with the best environment under this cover (i.e., the decrease in air temperature and increase in relative humidity). Accordingly, diffusion may offer a cooling effect on the greenhouse air temperature; this issue needs to be addressed properly to explore the effect of diffuse radiation, instead of direct beam radiation, in reducing the inside greenhouse air temperature and increasing relative humidity.

Author Contributions

Conceptualization, A.A.-G. and I.A.-H.; methodology, A.A.-G.; validation, A.A. and A.I.; formal analysis, I.A.-H.; investigation, A.A.-G.; resources, M.S.; data creation, M.S., A.I.; writing—original draft preparation, I.A.-H.; writing—review and editing, A.A.-G.; visualization, M.S.; supervision, I.A.-H.; project administration, A.A. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Acknowledgments

The authors would like to extend their sincere appreciation to the deanship of scientific research at King Saud University for funding this research through research group number RG 1435-074.

Conflicts of Interest

The authors declare no conflict of interest.

Nomenclature

Bidirect beam solar radiation incident on the cover film (W m−2)
Btdirect beam radiation transmitted through the cover film (W m−2)
Buunscattered beam radiation transmitted into the greenhouse (W m−2)
CFlocally produced film was used as control
D/Bratio of diffuse to direct beam radiation inside or outside the greenhouse
DFdiffusive film cover
Diatmospheric diffuse radiation incident on the greenhouse cover (W m−2)
Dtatmospheric diffuse radiation transmitted through the cover (W m−2)
Dtottotal diffuse radiation flux measured inside the greenhouse (W m−2)
Dtot-1total diffuse radiation flux measured by pyranometer (1) under a film (W m−2)
Dtot-2total diffuse radiation flux measured by pyranometer (2) under a film (W m−2)
Ediffuse radiation enhancement inside the greenhouse (%)
Fccorrection factor of a shaded pyranometer (-)
Fc-ocorrection factor of a shaded pyranometer outside the greenhouse (-)
Fc-CFcorrection factor of a shaded pyranometer under the CF cover (-)
Fc-DFcorrection factor of a shaded pyranometer under the DF cover (-)
Fc-RDFcorrection factor of a shaded pyranometer under the RDF cover (-)
PARthe photosynthetically active radiation (400–700 nm) (W m−2)
RDFreflective-diffusive film cover
RHirelative humidity of the air inside the greenhouse model
RHorelative humidity of the air outside the greenhouse model
Siglobal solar radiation flux incident on the greenhouse cover (W m−2)
Stglobal solar radiation flux transmitted through the cover film (W m−2)
Tiair temperature inside the greenhouse model (°C)
Toair temperature outside the greenhouse model (°C)
ρ g total reflectance of the cover film to global solar radiation (%)
σdiffusion coefficient (-)
τ D true transmittance of the cover film to diffuse radiation
τ ¯ D apparent transmittance of the cover film to diffuse radiation
τ g total transmittance of the cover film to global solar radiation
τ P A R total transmittance of the cover film to PAR (-)
τ N I R total transmittance of the cover film to NIR (-)

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Figure 1. Schematic diagram showing the transmission mechanism and the components of solar radiation transmitted through a plastic film.
Figure 1. Schematic diagram showing the transmission mechanism and the components of solar radiation transmitted through a plastic film.
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Figure 2. The spectral transmittance (a) and reflectance (b) measured at normal incidence for the three films used for the study.
Figure 2. The spectral transmittance (a) and reflectance (b) measured at normal incidence for the three films used for the study.
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Figure 3. Schematic diagram showing the naturally ventilated twin-span greenhouse model, covered with a plastic film, used for the study; dimensions are in cm, not to scale.
Figure 3. Schematic diagram showing the naturally ventilated twin-span greenhouse model, covered with a plastic film, used for the study; dimensions are in cm, not to scale.
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Figure 4. Experimental setup and the shading system used to estimate the correction factors of the shaded pyranometers, and the true transmittance of the film to diffuse solar radiation. Dimensions are in cm, not to scale, and (1), (2) and (3) are the pyranometer numbers.
Figure 4. Experimental setup and the shading system used to estimate the correction factors of the shaded pyranometers, and the true transmittance of the film to diffuse solar radiation. Dimensions are in cm, not to scale, and (1), (2) and (3) are the pyranometer numbers.
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Figure 5. Time course of the correction factors estimated for the shaded pyranometers under the three films tested, and outside the greenhouse models; all were under diffuse radiation conditions (14–17 October 2019).
Figure 5. Time course of the correction factors estimated for the shaded pyranometers under the three films tested, and outside the greenhouse models; all were under diffuse radiation conditions (14–17 October 2019).
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Figure 6. Time course of the true transmittances of the three films to diffuse radiation ( τ D ); the films and the pyranometers were exposed to diffuse radiation, (14–16 October 2019).
Figure 6. Time course of the true transmittances of the three films to diffuse radiation ( τ D ); the films and the pyranometers were exposed to diffuse radiation, (14–16 October 2019).
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Figure 7. Diurnal variations of (a) the incident (Di) and transmitted (Dtot) diffuse radiation fluxes into the three greenhouse models, and (b) the unscattered beams radiation incident (Bi) and transmitted (Bu) into the three greenhouse models on a sunny day (30 September 2019).
Figure 7. Diurnal variations of (a) the incident (Di) and transmitted (Dtot) diffuse radiation fluxes into the three greenhouse models, and (b) the unscattered beams radiation incident (Bi) and transmitted (Bu) into the three greenhouse models on a sunny day (30 September 2019).
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Figure 8. The diurnal variations of the apparent transmittances ( τ ¯ D ) were estimated for the three films covered greenhouses (the diffusive, DF, reflective-diffusive, RDF, and control, CF) on a sunny day (30 September 2019).
Figure 8. The diurnal variations of the apparent transmittances ( τ ¯ D ) were estimated for the three films covered greenhouses (the diffusive, DF, reflective-diffusive, RDF, and control, CF) on a sunny day (30 September 2019).
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Figure 9. Diurnal variation of the diffusion coefficient (σ) estimated for the three films covered greenhouses on a sunny day (30 September 2019).
Figure 9. Diurnal variation of the diffusion coefficient (σ) estimated for the three films covered greenhouses on a sunny day (30 September 2019).
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Figure 10. Time courses of the air temperature inside the greenhouse models covered with the DF, RDF, and CF films and outside the models.
Figure 10. Time courses of the air temperature inside the greenhouse models covered with the DF, RDF, and CF films and outside the models.
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Figure 11. Time courses of the air relative humidity inside the greenhouse models covered with the DF, RDF, and CF films and outside the models.
Figure 11. Time courses of the air relative humidity inside the greenhouse models covered with the DF, RDF, and CF films and outside the models.
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Table 1. Properties of the three films tested as they were supplied by the producers.
Table 1. Properties of the three films tested as they were supplied by the producers.
Properties Supplied by the ProducersPE-EVA, Diffusive Film (DF)PE-LLDEP, Reflective Diffusive Film, (RDF)PE-LD, Locally Produced Film (CF)
Film thickness (µm)180200200
Diffusion (%)6040-
PAR transmittance, τ P A R (%)87–8878–8075–80
NIR transmittance, τ N I R (%)<17--
Working temperature (°C)--50–80
Service life (year)4–54–52–3
Local price (US $/m2) 0.730.730.41
Table 2. Summary of the main characteristics estimated for the three films tested.
Table 2. Summary of the main characteristics estimated for the three films tested.
Film Cover τ P A R   ( % ) τ N I R   ( % ) τ g   ( % ) ρ g   ( % ) τ D   ( % ) τ ¯ D   ( % ) σ (%)E (%)
DF39.857.451.012.576.01333477
RDF45.047.844.218.565.01223385
CF46.259.053.513.577.016243109

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Al-Helal, I.; Alsadon, A.; Shady, M.; Ibrahim, A.; Abdel-Ghany, A. Diffusion Characteristics of Solar Beams Radiation Transmitting through Greenhouse Covers in Arid Climates. Energies 2020, 13, 472. https://doi.org/10.3390/en13020472

AMA Style

Al-Helal I, Alsadon A, Shady M, Ibrahim A, Abdel-Ghany A. Diffusion Characteristics of Solar Beams Radiation Transmitting through Greenhouse Covers in Arid Climates. Energies. 2020; 13(2):472. https://doi.org/10.3390/en13020472

Chicago/Turabian Style

Al-Helal, Ibrahim, Abdullah Alsadon, Mohamed Shady, Abdullah Ibrahim, and Ahmed Abdel-Ghany. 2020. "Diffusion Characteristics of Solar Beams Radiation Transmitting through Greenhouse Covers in Arid Climates" Energies 13, no. 2: 472. https://doi.org/10.3390/en13020472

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