# Energy, Exergy Analysis, and Optimizations of Collector Cover Thickness of a Solar Still in El Oued Climate, Algeria

Authors: Abderrahmane Khechekhouche; A. Muthu Manokar; Ravishankar Sathyamurthy; Fadl A. Essa; Milad Sadeghzadeh; Alibek Issakhov
Journal: International Journal of Photoenergy
 (2021)

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## Abstract

Researches in many laboratories on solar still desalination are concerned with increasing efficiency using only solar energy. One of the techniques is the difference in the thickness of the glass cover of the distiller. In order to see the influence of this parameter on efficiency, three similar stills with three different glass coverings were investigated. The flow of heat goes through the cover, and higher glass temperature leads to solar still productivity becoming lower. This paper presents an optimization of glass thickness (Gt) of a conventional solar still (CSS) in El Oued climate, Algeria. Based on the experimental results, the distilled water production rate, energy, and energy efficiency of the CSS have been discussed. The results showed that the suitable Gt of the CSS was 3 mm. The distilled water of around 3.15, 2.02, and 1.13 kg was produced by the CSS at energy efficiency of 30.71, 19.02, and 11.44% with the Gt of 3, 5, and 6 mm, respectively. The daily average exergy efficiency of 2.46, 1.38, and 0.84% was calculated for the CSS at Gt of 3, 5, and 6 mm, respectively.


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## Body

## 1. Introduction

Solar distillation is one of the simplest, economical, and environmental solutions with no emission of toxic or dangerous gas [1–3]. This technique is used in many countries around the world, especially in the isolated areas. As its name indicates, it is based on solar energy which is renewable and free energy [4–7]. The solar distiller works according to the laws of heat and mass transfer [8]. Improving the productivity of pure water from a conventional solar distiller is the subject of research in several laboratories [9, 10]. This improvement is based on two main parameters, solar radiation and the gradient of temperature between water and glazing. In addition, exergy, energy, and technoeconomic assessments have been widely carried out to monitor the performance of solar-based conversion systems such as solar distillers to demonstrate their feasibility [11–18]. To prove the first parameter, an experiment was performed in the summer season and in the winter season to see the effect of solar radiation on traditional distillation production; the results show 89.44% increase in productivity during the summer season [19]. Another experiment used reflectors to focus the solar radiation that passes through the still’s glass; the rate of improvement was approximately 30% [20].The lenses were also used to increase a traditional solar still’s performance, and the result obtained was 638% [21]. To prove the second parameter, double glazing was used in a solar still to reduce temperature gradient, and the results show 55.7% reduction in productivity [22]. There have also been many studies on the glazing itself, for example, a study which tested the cooling of glass evaluated the productivity of the solar stills. The experimental results revealed that the pure water productivity is 10.06 L/m2·day [23]. Another study shows that efficiency of solar distiller glass with water cooling was 11.81% more efficient than the solar still without water cooling [24].According to an experimental study, cooling of glass covers can also be achieved by flowing air over the glass cover [25]. The use of partial shading on a CSS gave 12% improvement in productivity, a result confirmed by an experimental study carried out in southern Algeria [26]. Some researchers have tried to adjust the glazing angle to maximize pure water production; they have found that the best angles vary between 20° and 30°. The best glazing angle was 30° with an output of 3517 kg/m2 in the autumn season and 3633 kg/m2 in the winter; the best inclination was 20° with a yield of 5224 kg/m2 in the spring season and 4527 kg/m2in the summer season [27].The variation of 3 different glazing thicknesses (4, 6, and 8 mm) was published by Panchal and Shah [28]. The outcome of the study indicates that the best pure water production corresponds to the 4 mm thickness. The results of an experiment revealed that while the thickness of the glass cover of a solar still reduces to 3.5 mm, the average output of pure water from the still was 31.13% higher than that from a solar still with a 4 mm thick glass cover [29]. Several experiments were reported on the effect of different glass covers thickness on a solar still performance [30–32].A theoretical and experimental study was done on three different cover thicknesses to determine the optimum thickness of the solar still glass cover. The results obtained show that a glass cover thickness of 4 mm and 5 mm has 27 and 12% higher production as compared to a thickness of 6 mm [33]. Two solar stills with two glass lids with different thicknesses of 4 mm and 6 mm were tested; the best productivity of 1.60 liters from the still with the 4 mm glazing and 1.55 liters from the still with the 6 mm glazing was reported [34, 35]. The heat flow through the glass of a CSS has been studied recently [36]. In another study, 5 glass covers were tested (2, 6, 10, 14, and 18 mm); the result indicates that optimum thickness that offers the highest pure water productivity is 6 mm [37]. The influence of a large glazing thickness on the performance of a solar still was studied by Khechekhouche et al. [38]. The cover consists of two 3 mm thick glass plates separated by a 100 mm air layer, forming an air chamber isolated from the sides. The results show that this technique minimizes the efficiency of the distiller by 56.52% compared to the CSS [38].From the detailed literature, it has been identified that only few works have been reported on the effect of glass thickness on energy and exergy efficiencies of a solar still. Hence, the present work consists of making an experiment with three conventional solar stills, and each still has a glazing with a thickness that differs from the other distillers for the climatic condition of the El Oued climate, Algeria. The objective is to optimize the thickness in order to obtain the best productivity in pure water. In this work, calculation of energy, exergy efficiency, and fractional exergy of evaporation and convection betweenTs.w and Tc.c is a novelty of the present study.


## 2. Experimental Set-Up and Methodology

### 2.1. Protocol of the Experiment

The city of El Oued southeast of Algeria’s geographical coordinates is 33.3676° north latitude and 6.8516° longitude. The experiment was carried out several times, and since the results obtained are the same, one sunny day (25th May 2018) was considered. K-1-type thermocouples were placed on solar stills and precisely in the water, below and above the glass cover, and in the open place to measure the ambient temperature. The glass side of the two stills faces south for maximum exposure to solar radiation. The quantities of distilled water produced were measured manually every hour by a graduated cup. Temperatures were measured every hour from 9:00 AM to 4:00 PM. The meteorological condition of the experimental day is shown in Table 1.Table 1
Meteorological conditions.
Sun lever5:41Sunset19:19Ambient temperature35 (°C)Humidity25%


### 2.2. Solar Distiller Description

Figure1 shows the schematic of the CSS with location of thermocouples. This system helps to purify polluted water and restore it to pure water. It is a very simple technique which uses energy from solar radiation. Nevertheless, this type of system is distinguished from other desalination devices by its relatively low efficiency. This distiller has a very simple construction with a low investment cost. The distiller used in our experiment consists basically of a square wooden box of 0.5×0.5m, a transparent glass cover of 0.55×0.55m, a thickness of 0.003 m, a PVC recovery tube of 0.60 m in length and 0.025 m in diameter situated in the lower part of the distillery, and finally a pure-water storage tank.Figure 1
Location of the thermocouples.


### 2.3. Treatment Data

The experiment was performed in the climate of El Oued region, in southeast Algeria, on 25th May 2018. Three separate solar stills have the same size with the same inclination angle (20° with the horizontal). At the same time, all the three distillers (CSS with the Gt of 3, 5, and 6 mm) are exposed to the sun on the same experiential day with similar water quality and quantity. Each distiller has a thickness covering that differs from other distillers as shown in Figure 2.Figure 2
Photographic view of the experimental set-up.


## 2.1. Protocol of the Experiment

The city of El Oued southeast of Algeria’s geographical coordinates is 33.3676° north latitude and 6.8516° longitude. The experiment was carried out several times, and since the results obtained are the same, one sunny day (25th May 2018) was considered. K-1-type thermocouples were placed on solar stills and precisely in the water, below and above the glass cover, and in the open place to measure the ambient temperature. The glass side of the two stills faces south for maximum exposure to solar radiation. The quantities of distilled water produced were measured manually every hour by a graduated cup. Temperatures were measured every hour from 9:00 AM to 4:00 PM. The meteorological condition of the experimental day is shown in Table 1.Table 1
Meteorological conditions.
Sun lever5:41Sunset19:19Ambient temperature35 (°C)Humidity25%


## 2.2. Solar Distiller Description

Figure1 shows the schematic of the CSS with location of thermocouples. This system helps to purify polluted water and restore it to pure water. It is a very simple technique which uses energy from solar radiation. Nevertheless, this type of system is distinguished from other desalination devices by its relatively low efficiency. This distiller has a very simple construction with a low investment cost. The distiller used in our experiment consists basically of a square wooden box of 0.5×0.5m, a transparent glass cover of 0.55×0.55m, a thickness of 0.003 m, a PVC recovery tube of 0.60 m in length and 0.025 m in diameter situated in the lower part of the distillery, and finally a pure-water storage tank.Figure 1
Location of the thermocouples.


## 2.3. Treatment Data

The experiment was performed in the climate of El Oued region, in southeast Algeria, on 25th May 2018. Three separate solar stills have the same size with the same inclination angle (20° with the horizontal). At the same time, all the three distillers (CSS with the Gt of 3, 5, and 6 mm) are exposed to the sun on the same experiential day with similar water quality and quantity. Each distiller has a thickness covering that differs from other distillers as shown in Figure 2.Figure 2
Photographic view of the experimental set-up.


## 3. Results and Discussion

### 3.1. Hourly Variations of Solar Intensity and Ambient Temperature

Figure3 shows the hourly variations of solar intensity and ambient temperature. From the graph, it is clear that both the values increase linearly and reached the maximum value at 1 PM, and after 1 PM, it has decreased. The maximum solar intensity and an ambient temperature of 1005 W/m2 and 36°C has been recorded. The daily average solar intensity and ambient temperature during the testing have been recorded as 754.38 W/m2 and 32.25°C, respectively. During the testing, the sky was very clear and there were no clouds.Figure 3
Time-wise fluctuation of solar intensity and ambient temperature.


### 3.2. Hourly Variations of Water Temperature

Figure4 shows the hourly variations of water temperature (TW) for the CSS at Gt of 3, 5, and 6 mm. TW has a similar curve like solar intensity and ambient temperature since the water temperature is directly proportional to the solar intensity. The maximum TW of 60, 58, and 55°C has been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average TW of 49.5, 47.88, and 46°C has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. From the experimentation of the CSS at different Gt, the maximum TW obtained for the Gt of 3 mm is found. The CSS at Gt of 5 and 6 mm reduces the daily average TW by 3.28% and 7.07%, respectively, as compared to the CSS at Gt of 3 mm. Compared to the other two stills, the water temperature in the CSS at Gt of 3 mm is highest, and it is known that any rise in the water temperature causes an increase in evaporation.Figure 4
Time-wise fluctuation ofTW.


### 3.3. Hourly Variations of Glass Temperature

Figure5 shows the hourly variations of glass temperature (TG) for the CSS at Gt of 3, 5, and 6 mm. TG also has a similar curve like solar intensity. The maximum TG of 49, 51, and 54°C has been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average TG of 42.25, 44.25, and 46.13°C has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. From the experimentation of the CSS at different Gt, it is found that the CSS at Gt of 3 mm has minimum TG as compared to the CSS at Gt of 5 and 6 mm. The CSS at Gt of 5 and 6 mm increases the daily average TG by 4.52% and 8.4%, respectively, as compared to the CSS at the Gt of 3 mm. From graphs 3 and 4, it is found that the CSS at Gt of 3 mm has the maximum TW and minimum TG which produces the higher difference between TW and TG.Figure 5
Time-wise fluctuation ofTG.


### 3.4. Hourly Variations of the Yield

The value of EHTC is directly proportional to theTW so it has a similar curve like a TW curve. The maximum EHTC of 46.28, 37, and 28.34 W/m2k have been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average EHTC of 26.71, 18.76, and 9.81 W/m2k have been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average EHTC by 29.74% and 63.27%, respectively, as compared to the CSS at Gt of 3 mm. Figure 6 shows the hourly variations of the yield produced from the CSS at Gt of 3, 5, and 6 mm. The yield produced from the CSS at difference Gt has a similar curve like the EHTC because yield is directly proportional to the EHTC. The maximum hourly yield produced from the CSS at Gt of 3, 5, and 6 mm is 0.76, 0.45, and 0.31 kg, respectively. The daily average yield produced from the CSS at Gt of 3, 5, and 6 mm is 3.15, 1.9, and 1.1 kg, respectively. The CSS at Gt of 5 and 6 mm reduces the daily yield by 40.48% and 65.15%, respectively, as compared to the CSS at Gt of 3 mm. From the yield production, it is clear that the CSS at Gt of 3 mm has maximum yield because of the higher difference between TW and TG. This difference between TW and TG is called the gradient of temperature. Due to higher temperature difference; the CSS at Gt of 3 mm produced more yield than the CSS at Gt of 5 and 6 mm.Figure 6
Time-wise fluctuation of yield.


### 3.5. Thermal Efficiency

Figure7 shows the thermal efficiency of the CSS at Gt of 3, 5, and 6 mm. The thermal efficiency of the CSS at different Gt has the similar curve like the yield. The maximum thermal efficiency of the CSS at Gt of 3, 5, and 6 mm is 47.33, 32.86, and 23.87%, respectively. The daily average thermal efficiency of the CSS at Gt of 3, 5, and 6 mm is 30.71, 18.35, and 11.25%, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average thermal efficiency by 40.25% and 63.37% as compared to the CSS at Gt of 3 mm. The thermal efficiency of the system mostly depends on the yield produced from the CSS. In this experiment, the yield produced from the CSS is maximum in the case of Gt of 3 mm, so thermal efficiency of the system is higher in the case of Gt of 3 mm.Figure 7
Time-wise fluctuation of thermal efficiency.The thermal efficiency of the CSS is given by [23–25]
(1)ηpassive=∑ṁewL∑ItAs×3600×100.


### 3.6. Exergy Efficiency

Figure8 shows the exergy efficiency of the CSS at Gt of 3, 5, and 6 mm. The exergy efficiency of the CSS at different Gt has the similar curve like the thermal efficiency. The maximum hourly exergy efficiency of the CSS at Gt of 3, 5, and 6 mm is 4.72, 2.62, and 1.93%, respectively. The daily average exergy efficiency of the CSS at Gt of 3, 5, and 6 mm is 2.46, 1.38, and 0.84%, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average exergy efficiency by 44.01% and 65.81%, respectively, as compared to the CSS at Gt of 3 mm. The exergy efficiency of the system mostly depends on the yield produced from the CSS. In this research, the maximum exergy efficiency was calculated for the CSS at Gt of 3 mm. The performance of the CSS at Gt of 3 mm is higher, so exergy efficiency is higher at the CSS at Gt of 3 mm.Figure 8
Time-wise fluctuation of exergy efficiency.The time-wise fractional exergy of evaporation and convection betweenTs.w and Tc.c for the CSS at Gt of 3, 5, and 6 mm is calculated using equations (10) and (11). It is found that fractional exergy of evaporation of the CSS at Gt of 3 mm is higher than that of the CSS at Gt of 5 and 6 mm. The maximum hourly fractional exergy of evaporation of 96.1, 96, and 95.9% has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. During the experimentation, it is found that the evaporation rate and water temperature of the CSS at Gt of 3 mm are higher as compared to those of the CSS at Gt of 5 and 6 mm. So time-wise fractional exergy of evaporation of the CSS at Gt of 3 mm is higher than that of CSS at Gt of 5 and 6 mm. It is also found that fractional exergy of convection of the CSS at Gt of 5 mm is higher than that of the CSS at Gt of 3 and 6 mm. The maximum hourly fractional exergy of convection was calculated to be 9.4, 8.6, and 8.4% for the CSS at Gt of 3, 5, and 6 mm, respectively. The reason for maximum fractional exergy of convection for the CSS at Gt of 3 mm is the operating temperature of the Gt.The EHTC starting from basin of the CSS to the glass cover is computed by [39–41]
(2)he,w−g=16.273×10−3×hc,w−gPw−PgiTw−Tgi.The convective heat transfer coefficient starting from the basin of the CSS to the glass cover is computed by [39–41]
(3)hc,w−g=0.884Tw−Tgi+Pw−PgiTw+273268.9×10−3−Pw.Partial vapour pressure at the basin TW is computed by [39–41]
(4)Pw=exp25.317−5144273+Tw.Partial vapour pressure at the TG is computed by [39–41]
(5)Pgi=exp25.317−5144273+Tgi.The thermal efficiency of the CSS is computed as [39–41]
(6)ηpassive=∑ṁewL∑ItAs×3600×100.The exergy efficiency of the CSS is computed by [39–41]
(7)ηoverall,exe=∑Exoutput∑Exinput.The hourly exergy output is computed by [39–41]
(8)Exoutput=mewLfg3600×1−TaTw.The hourly exergy input is computed by [39–41]
(9)Exinput=AwI′t×1−43TaTs+13TaTs4.The fractional exergies for evaporation and convection are calculated using equations (10) and (11) and are as follows [42]:
(10)Fe,bw–ig=Exe,bw−igExti,(11)Fc,bw–ig=Exc,bw−igExti.


### 3.7. Comparisons of Present Result and Similar Studies

Table2 gives the several studies previously carried out by researchers on the thickness of the glass cover of solar stills. It also shows the results obtained on the productivity of pure water and the thermal efficiency of the stills tested, and it was noticed that energy efficiency varies between 17 and 42%, and it is found that the present results vary between 11.25 and 30.71%. We draw the attention that some research does not calculate either energy efficiency or exergy efficiency. Comparing the efficiencies, it is found that the CSS with 3 mm gives a good value in both types of efficiencies [38].Table 2
Summary of various researchers on the glass cover thickness.
Ref. no.Glass cover thicknessEnergy efficiencyExergy efficiency[28]4 mm--8 mm--12 mm--[29]3.5 mm21.42%-4 mm28.09%-[30]3.18 mm26.22%-4.76 mm29.28%-6.35 mm18.95%[31]3 mm32-34%-4 mm34-36%5 mm30-32%-6 mm26-28%-[32]4 mm-8 mm-->8 mm + air film--12 mm-->12 mm + air film--[33]4 mm27%-5 mm22%-6 mm17%-[34]2 mm45-50%-3 mm40-45%-4 mm30-35%-5 mm30%-6 mm25-30%-7 mm20-25%-8 mm15-20%[35]4 mm--6 mm--[37]2 mm--6 mm--10 mm--14 mm--18 mm--[38]4 mm-52.7%-8 mm + air film-Our current work3 mm30.71%2.46%5 mm18.35%1.38%6 mm11.25%0.84%


## 3.1. Hourly Variations of Solar Intensity and Ambient Temperature

Figure3 shows the hourly variations of solar intensity and ambient temperature. From the graph, it is clear that both the values increase linearly and reached the maximum value at 1 PM, and after 1 PM, it has decreased. The maximum solar intensity and an ambient temperature of 1005 W/m2 and 36°C has been recorded. The daily average solar intensity and ambient temperature during the testing have been recorded as 754.38 W/m2 and 32.25°C, respectively. During the testing, the sky was very clear and there were no clouds.Figure 3
Time-wise fluctuation of solar intensity and ambient temperature.


## 3.2. Hourly Variations of Water Temperature

Figure4 shows the hourly variations of water temperature (TW) for the CSS at Gt of 3, 5, and 6 mm. TW has a similar curve like solar intensity and ambient temperature since the water temperature is directly proportional to the solar intensity. The maximum TW of 60, 58, and 55°C has been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average TW of 49.5, 47.88, and 46°C has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. From the experimentation of the CSS at different Gt, the maximum TW obtained for the Gt of 3 mm is found. The CSS at Gt of 5 and 6 mm reduces the daily average TW by 3.28% and 7.07%, respectively, as compared to the CSS at Gt of 3 mm. Compared to the other two stills, the water temperature in the CSS at Gt of 3 mm is highest, and it is known that any rise in the water temperature causes an increase in evaporation.Figure 4
Time-wise fluctuation ofTW.


## 3.3. Hourly Variations of Glass Temperature

Figure5 shows the hourly variations of glass temperature (TG) for the CSS at Gt of 3, 5, and 6 mm. TG also has a similar curve like solar intensity. The maximum TG of 49, 51, and 54°C has been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average TG of 42.25, 44.25, and 46.13°C has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. From the experimentation of the CSS at different Gt, it is found that the CSS at Gt of 3 mm has minimum TG as compared to the CSS at Gt of 5 and 6 mm. The CSS at Gt of 5 and 6 mm increases the daily average TG by 4.52% and 8.4%, respectively, as compared to the CSS at the Gt of 3 mm. From graphs 3 and 4, it is found that the CSS at Gt of 3 mm has the maximum TW and minimum TG which produces the higher difference between TW and TG.Figure 5
Time-wise fluctuation ofTG.


## 3.4. Hourly Variations of the Yield

The value of EHTC is directly proportional to theTW so it has a similar curve like a TW curve. The maximum EHTC of 46.28, 37, and 28.34 W/m2k have been recorded for the CSS at Gt of 3, 5, and 6 mm, respectively. The daily average EHTC of 26.71, 18.76, and 9.81 W/m2k have been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average EHTC by 29.74% and 63.27%, respectively, as compared to the CSS at Gt of 3 mm. Figure 6 shows the hourly variations of the yield produced from the CSS at Gt of 3, 5, and 6 mm. The yield produced from the CSS at difference Gt has a similar curve like the EHTC because yield is directly proportional to the EHTC. The maximum hourly yield produced from the CSS at Gt of 3, 5, and 6 mm is 0.76, 0.45, and 0.31 kg, respectively. The daily average yield produced from the CSS at Gt of 3, 5, and 6 mm is 3.15, 1.9, and 1.1 kg, respectively. The CSS at Gt of 5 and 6 mm reduces the daily yield by 40.48% and 65.15%, respectively, as compared to the CSS at Gt of 3 mm. From the yield production, it is clear that the CSS at Gt of 3 mm has maximum yield because of the higher difference between TW and TG. This difference between TW and TG is called the gradient of temperature. Due to higher temperature difference; the CSS at Gt of 3 mm produced more yield than the CSS at Gt of 5 and 6 mm.Figure 6
Time-wise fluctuation of yield.


## 3.5. Thermal Efficiency

Figure7 shows the thermal efficiency of the CSS at Gt of 3, 5, and 6 mm. The thermal efficiency of the CSS at different Gt has the similar curve like the yield. The maximum thermal efficiency of the CSS at Gt of 3, 5, and 6 mm is 47.33, 32.86, and 23.87%, respectively. The daily average thermal efficiency of the CSS at Gt of 3, 5, and 6 mm is 30.71, 18.35, and 11.25%, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average thermal efficiency by 40.25% and 63.37% as compared to the CSS at Gt of 3 mm. The thermal efficiency of the system mostly depends on the yield produced from the CSS. In this experiment, the yield produced from the CSS is maximum in the case of Gt of 3 mm, so thermal efficiency of the system is higher in the case of Gt of 3 mm.Figure 7
Time-wise fluctuation of thermal efficiency.The thermal efficiency of the CSS is given by [23–25]
(1)ηpassive=∑ṁewL∑ItAs×3600×100.


## 3.6. Exergy Efficiency

Figure8 shows the exergy efficiency of the CSS at Gt of 3, 5, and 6 mm. The exergy efficiency of the CSS at different Gt has the similar curve like the thermal efficiency. The maximum hourly exergy efficiency of the CSS at Gt of 3, 5, and 6 mm is 4.72, 2.62, and 1.93%, respectively. The daily average exergy efficiency of the CSS at Gt of 3, 5, and 6 mm is 2.46, 1.38, and 0.84%, respectively. The CSS at Gt of 5 and 6 mm reduces the daily average exergy efficiency by 44.01% and 65.81%, respectively, as compared to the CSS at Gt of 3 mm. The exergy efficiency of the system mostly depends on the yield produced from the CSS. In this research, the maximum exergy efficiency was calculated for the CSS at Gt of 3 mm. The performance of the CSS at Gt of 3 mm is higher, so exergy efficiency is higher at the CSS at Gt of 3 mm.Figure 8
Time-wise fluctuation of exergy efficiency.The time-wise fractional exergy of evaporation and convection betweenTs.w and Tc.c for the CSS at Gt of 3, 5, and 6 mm is calculated using equations (10) and (11). It is found that fractional exergy of evaporation of the CSS at Gt of 3 mm is higher than that of the CSS at Gt of 5 and 6 mm. The maximum hourly fractional exergy of evaporation of 96.1, 96, and 95.9% has been calculated for the CSS at Gt of 3, 5, and 6 mm, respectively. During the experimentation, it is found that the evaporation rate and water temperature of the CSS at Gt of 3 mm are higher as compared to those of the CSS at Gt of 5 and 6 mm. So time-wise fractional exergy of evaporation of the CSS at Gt of 3 mm is higher than that of CSS at Gt of 5 and 6 mm. It is also found that fractional exergy of convection of the CSS at Gt of 5 mm is higher than that of the CSS at Gt of 3 and 6 mm. The maximum hourly fractional exergy of convection was calculated to be 9.4, 8.6, and 8.4% for the CSS at Gt of 3, 5, and 6 mm, respectively. The reason for maximum fractional exergy of convection for the CSS at Gt of 3 mm is the operating temperature of the Gt.The EHTC starting from basin of the CSS to the glass cover is computed by [39–41]
(2)he,w−g=16.273×10−3×hc,w−gPw−PgiTw−Tgi.The convective heat transfer coefficient starting from the basin of the CSS to the glass cover is computed by [39–41]
(3)hc,w−g=0.884Tw−Tgi+Pw−PgiTw+273268.9×10−3−Pw.Partial vapour pressure at the basin TW is computed by [39–41]
(4)Pw=exp25.317−5144273+Tw.Partial vapour pressure at the TG is computed by [39–41]
(5)Pgi=exp25.317−5144273+Tgi.The thermal efficiency of the CSS is computed as [39–41]
(6)ηpassive=∑ṁewL∑ItAs×3600×100.The exergy efficiency of the CSS is computed by [39–41]
(7)ηoverall,exe=∑Exoutput∑Exinput.The hourly exergy output is computed by [39–41]
(8)Exoutput=mewLfg3600×1−TaTw.The hourly exergy input is computed by [39–41]
(9)Exinput=AwI′t×1−43TaTs+13TaTs4.The fractional exergies for evaporation and convection are calculated using equations (10) and (11) and are as follows [42]:
(10)Fe,bw–ig=Exe,bw−igExti,(11)Fc,bw–ig=Exc,bw−igExti.


## 3.7. Comparisons of Present Result and Similar Studies

Table2 gives the several studies previously carried out by researchers on the thickness of the glass cover of solar stills. It also shows the results obtained on the productivity of pure water and the thermal efficiency of the stills tested, and it was noticed that energy efficiency varies between 17 and 42%, and it is found that the present results vary between 11.25 and 30.71%. We draw the attention that some research does not calculate either energy efficiency or exergy efficiency. Comparing the efficiencies, it is found that the CSS with 3 mm gives a good value in both types of efficiencies [38].Table 2
Summary of various researchers on the glass cover thickness.
Ref. no.Glass cover thicknessEnergy efficiencyExergy efficiency[28]4 mm--8 mm--12 mm--[29]3.5 mm21.42%-4 mm28.09%-[30]3.18 mm26.22%-4.76 mm29.28%-6.35 mm18.95%[31]3 mm32-34%-4 mm34-36%5 mm30-32%-6 mm26-28%-[32]4 mm-8 mm-->8 mm + air film--12 mm-->12 mm + air film--[33]4 mm27%-5 mm22%-6 mm17%-[34]2 mm45-50%-3 mm40-45%-4 mm30-35%-5 mm30%-6 mm25-30%-7 mm20-25%-8 mm15-20%[35]4 mm--6 mm--[37]2 mm--6 mm--10 mm--14 mm--18 mm--[38]4 mm-52.7%-8 mm + air film-Our current work3 mm30.71%2.46%5 mm18.35%1.38%6 mm11.25%0.84%


## 4. Conclusion

Based on the investigational outcome on the CSS, the following conclusions are arrived at.(i)
The CSS atGt of 3, 5, and 6 mm has a yield of 3.15, 1.9, and 1.1 kg, respectively. The CSS at Gt of 3 mm produced the 40.48% and 65.15% higher yield than the CSS at Gt of 5 and 6 mm, respectively.(ii)
The thermal and exergy efficiencies of 30.71, 18.35, and 11.25% and 2.46, 1.38, and 0.84% have been obtained for the CSS atGt of 3, 5, and 6 mm, respectively.(iii)
The thermal efficiency of the CSS is higher in the case of CSS atGt of 3 mm. The thermal efficiency of the CSS at Gt of 3 mm is 40.25% and 63.37% higher as compared to that of the CSS at Gt of 5 and 6 mm, respectively.(iv)
The exergy efficiency of the CSS is higher in the case of CSS atGt of 3 mm. The exergy efficiency of the CSS at Gt of 3 mm is 44.01% and 65.81% higher as compared to that of the CSS at Gt of 5 and 6 mm, respectively.



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*Source: 6668325-2021-03-13.xml*