# Experimental Investigation of a Novel Extracting Water System from Air by Soil Cold Source

Authors: Jianan Yao; Xingtian Wang; Junfeng Zhu; Binbin Wang; Junkui Niu
Journal: Mathematical Problems in Engineering
 (2021)

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## Abstract

The distribution of fresh water resources is extremely uneven at home and abroad, and the air contains a large amount of water vapor that can be used, so air water has been a widespread concern. Air condensation method is simple and efficient and has strong water intake capacity, but it often needs to consume huge energy. Therefore, this work proposes a new simple and innovative method of drawing water from the air, based on extracting water from air process achieved by using the soil as the cold source. The new type of ground cold air water intake system is designed by the new innovative method, which uses the soil with constant temperature as the cold source to reduce energy consumption. By comparing the central composite design experiment with the field experiment and analyzing the condensate water and outlet temperature under different wind speed and humidity conditions, the quadratic equation expression of condensate water and outlet temperature is obtained, and the optimal import wind speed range under a certain humidity range is obtained according to the mathematical model. The experimental results show that the heat transfer effect between air and soil is ideal, the water intake can reach 2.2 kg in 20-hour continuous collection experiment, the air temperature is close to the soil temperature after cooling, and the effect of water intake is good, which confirms the feasibility of soil as a cold source of air condensation.


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## Body

## 1. Introduction

For a long time, the spatial distribution of freshwater resources at home and abroad is extremely uneven [1]. Many countries, mostly in the developing world, are either experiencing physical or economic water scarcity or are approaching physical water scarcity [2]. According to WHO and UNICEF’s Joint Monitoring Programme (JMP) of the Millennium Development Goals (MDG), 663 million people still lacked improved drinking water sources in 2015 [3]. Our country is a country having a serious shortage of water. The total fresh water of our country is 2800 billion cubic meters, accounting for 6% of the world’s total fresh water, taking the fourth place [4]. The problem of providing arid areas with fresh water can be solved by the following methods: (1) transportation of water from other locations, (2) desalination of saline water (ground and underground), and (3) extraction of water from atmospheric air [5]. Transportation of water through these regions is usually very expensive, and desalination depends on the presence of saline water resources, which are usually rare in arid regions [6].The atmosphere is rich in water resources, even in extremely arid desert areas, the water content in the air can reach 10 g/m3, and according to the estimates, the water vapor content in the atmosphere can reach more than 10 times the total amount of surface freshwater [7]. At the same time, the use of certain specific technologies can capture moisture in the air, which is not limited by the region, can be widely used in islands, deserts, and other areas, and can also be used in the field, combat, and other occasions, with strong applicability, so it has become a hot topic of extensive research at home and abroad. Extraction of water from atmospheric air can be accomplished by three different methods [8], and the currently commonly used technologies are air cooling condensation method [9], adsorption desorption method [10], water mist intake method, and so on [11].Although the structure of water mist intake method is simple and does not involve the phase change process of water in the use process, it requires a higher environment for use and can often be applied in dense fog prone areas [12]. Adsorption water intake method is the most convenient; the equipment is often small so that it is easy to carry, but it also leads to small water intake, so it is often suitable for some emergency situations such as the field [13]. Currently, manufacturers like SunToWater Technologies [14] and Aqua Sciences [15] have invested a lot of money to develop air extraction aquatic products. These systems are especially suited to areas with high temperatures and humidity levels that increase the water yield due to the increased water content of air [16].In contrast, the method of air condensation is extracting water from humid air by reducing the temperature of the air below its dew point [17]. It is the simplest most efficient method that uses no compressor, no reduction in the risk of failure, no refrigerant, and no pollution. It has low maintenance demand, low cost, and stable operation [18] and has a strong capacity of water intake, which is mostly used in some densely populated arid areas, but its cold source is difficult to find and often requires huge energy consumption in the process of condensation [19].


## 2. Objective and Novelty of the Project

Research endeavors linking innovation to the wider challenges of looming water-shortage can contribute to generating additional insights for speeding up water innovation uptake [20]. This study presents a new simple and innovative method of drawing water from the air. The new water collection system is based on the condensation process achieved by using the soil as the cold source.The designed system involves a simple construction with low costs, realizable on-site, and reduced environmental impact [21]. It is also a simple alternative to condenser and adsorbent units currently on the market, in terms of cost, ease of installation, and maintenance [22]. As the scientific and industrial community is increasingly interested in low energy consumption and no pollution [23], the proposed system can be considered in line with this trend [24], and the system has low energy consumption and can be operated with a small amount of energy produced by wind and solar energy, so it can be widely used in the wild and remote areas not connected to the grid [25].In this paper, the characteristics of condensate water and outlet temperature under different wind speed and humidity conditions were studied. An original mathematical model of condensate flow rate and outlet temperature is proposed. The influence of the outlet temperature on the condensate water quantity is studied and analyzed through the contrast experiment. The purpose of this work is to demonstrate the feasibility of soil as a source of air condensation. And the energy consumption of the air condensation process can be reduced to a certain extent.


## 3. Laboratory Experiment

In order to confirm the feasibility of using soil as a cold source for air extraction, we built an experimental system in the laboratory and used a central composite experimental design method for experimental validation to evaluate the nonlinear relationship between wind speed and humidity and the corresponding condensate volume and outlet temperature to provide a theoretical basis for wild tests.


### 3.1. Experimental Principle and Method

The experimental system is shown in Figure1. Types and basic parameters of heat exchange tube are listed in Table 1. To ensure that the state of the air is not altered before it enters the condensing unit, the experimental system uses a silicone hose with an insulating cotton outer wall to connect the constant temperature and humidity chamber to the condensing unit. The end of the outlet line is placed in a beaker and the amount of water condensed is recorded in real time using a meter device. Temperature and humidity sensors are installed in the inlet and outlet air lines to collect temperature and humidity data from the inlet and outlet air to monitor the heat transfer in real time.Figure 1
The experimental device and structural drawing of spiral corrugated condenser tube. (a) Experimental device diagram. (b) Structural drawing of spiral corrugated condenser tube.
(a)(b)Table 1
Types and basic parameters of spiral corrugated condenser tube.
Type of heat exchange tubeThread diameter (di) (mm)Thread spacing (p) (mm)Thread inclination (α)Thread depth (e) (mm)Spiral fluted tube101245°0.3The experiment uses the fan in the constant temperature and humidity box to send the air in the box through the inlet air line to the condensing unit and to carry out heat exchange. When the air temperature drops below the dew point through the heat exchange, the water vapor begins to undergo a phase change and condenses into liquid water on the inner wall of the condensing unit, which flows out along the wall of the condensing unit under the action of gravity and airflow. The condensate flows out along spiral corrugated condenser tube by gravity and airflow and eventually flows into a beaker on an electronic balance, which records the amount of condensed water in real time.Because of the large range of wind speed in the experiment, the available energy loss rate analysis is used to evaluate the comprehensive performance of the flow heat transfer process effectively, which is used as an index to measure the performance of the process and calculate the wind speed range with high heat transfer efficiency.Calculation formula of available energy loss rate is as follows:(1)Ne=6.4375qLλTmRe−0.8222edi−0.39996pdi0.11507Pr−1/3+4.4161ρν3qL3Re2.8181edi1.7273pdi−1.4916.The formula for calculating the optimum Reynolds number with the minimum loss rate of available energy is as follows:(2)Reopt=0.7858q2L4λTmρν3e/di2.12726p/di−1.60667Pr1/30.2747.According to calculation, the loss rate of available energy of 10 mm diameter spirally fluted tube must be less than the optimal Reynolds number 25000 in order to achieve the application purpose of high heat transfer rate and low loss rate of available energy. Therefore, according to the calculation results, the optimal Reynolds number is 8000–25000, corresponding to the wind speed of pipeline 11–35 m/s.Therefore, the wind speed range of 11–35 m/s in the test is set as the wind speed range to meet the higher performance of unit heat transfer. According to the average humidity range in summer in the north of China, the specific humidity range of the inlet air is set as 6–14 g/kg, and the temperature of the inlet air is kept at room temperature 24.5°C through a constant temperature wet air supply silo in order to make the heat transfer effect under different conditions comparable.The power of the humidifier is automatically adjusted by the single-chip microcomputer module to ensure the constant set specific humidity. According to the principle that the lowest dew point temperature is slightly higher than the outer wall temperature of the condenser within the specific humidity range, the temperature of the thermostatic chamber where the condenser is located is set to 4°C, so as to ensure that condensed water is still generated under the lowest specific humidity condition, and the test results of each level are comparable.In order to make the result of the condensed water volume have reference, the air volume in the test is set to be constant 20m³, so the test time is different under the conditions corresponding to different wind speeds, and the specific settings are shown in Table2.Table 2
Test time setting table.
Intake velocity (m/s)11.0017.0023.0029.0035.00 (min)Test time (min)25 min 42 s16 min 36 s12 min 18 s9 min 42 s8


### 3.2. Results and Discussion of Single Factor Experiment

By adjusting the fan power to carry out constant air volume experiment, the influence of different air velocity on heat transfer efficiency and the amount of condensate water produced under different humidity conditions is tested.As shown in Figure2, with the decrease of specific humidity, the amount of condensed water will decrease, and the lower the specific humidity, the more significant the downward trend of condensed water. With the increase of wind speed, the amount of condensed water decreased obviously, and the amount of condensed water was the largest at the lowest wind speed. Under the condition of high specific humidity, with the increase of wind speed, the change of condensed water volume is relatively smooth, while with the decrease of specific humidity and the increase of wind speed, the change of condensed water volume is relatively steep.Figure 2
Variation of condensate water quantity under different wind speed and humidity.The results show that, in order to obtain more condensate water, the lower the specific humidity, the narrower the corresponding optimal wind speed range, while in the case of high specific humidity, the optimal wind speed range is larger.By adjusting the inlet air velocity, the outlet temperature was tested under different specific humidity conditions. As shown in Figure3, with the decrease of specific humidity, the outlet temperature also decreases; that is, the heat transfer effect is better. With the increase of wind speed, the outlet temperature is lower. Under low specific humidity conditions, the outlet temperature decreases faster with the increase of wind speed, and the overall trend is more significant, while under high specific humidity conditions, the outlet temperature changes more smoothly with wind speed.Figure 3
Variation of outlet temperature under different wind speed and humidity.When the fluid is turbulent in the pipe, the relationship between the factors and the surface heat transfer coefficient is as follows:(3)h=fu0.8,λ0.6,cp0.4,ρ0.8,μ0.4,d−0.2.The higher the wind speed, the higher the heat transfer coefficient.Using the lumped parameter method, the heat exchange between the heat conducting body and the fluid in the time interval from the initial time to a certain instant can be obtained by integrating the instantaneous heat flux with time, and the instantaneous heat flux of the heat conducting body is(4)φ=−ρcVdtdτ=−ρcVt0−t∞−hApcVexp−hApcVτ=t0−t∞hAexp−hApcV.The total heat exchanged betweenτ = 0 and τ is(5)Qτ=∫0τφdτ=t0−t∞∫0τhAexp−hAρcVτdτ=t0−t∞ρcV1−exp−hAρcVτ.The higher the wind speed, the higher the heat transfer coefficient; from the above formula it can be seen that the amount of heat transfer and time have a direct relationship, when the outlet temperature is lower. However, the faster the wind speed, the less the heat transfer time in the condensing tube, and when the heat transfer decreases, the condensed water volume decreases. The outlet temperature decreases with the decrease of specific humidity. When the specific humidity is smaller, the heat transfer coefficient is higher, which is due to the reduction of specific humidity, the reduction of condensate water in the pipe, and the corresponding reduction of latent heat of water vapor phase transformation, resulting in the decrease of outlet temperature.When the specific humidity is lower, with the increase of wind speed, the increase of heat transfer coefficient is more obvious, which is due to the increase of wind speed leading to the reduction of phase transformation in the condensation tube, and the lower the specific humidity is, the more obvious the reduction of phase transformation is. Insufficient to reasonably obtain the best operating conditions, using the central composite experimental design method, the nonlinear relationship between wind speed and humidity and the corresponding condensate water and outlet temperature is evaluated, the specific test design and results are shown in Table3.Table 3
Experiment and results of intensified condenser with variable air velocity.
Air velocity vi (m/s)Humidity ti (g/kg)Condensate water Vw (g)Outlet temperatureT (°C)351461.28.7231072.110231072.1106.0310013231072.1102315.6683.213111495.212.3231072.11039.971040.571165.310234.34083561.97231072.110


### 3.3. Data Processing and Analysis of Central Composite Design Test

The data of condensate water quantity and outlet temperature were obtained by central composite test, and the regression of multiple quadratic equation was carried out by response surface method, and the functions are fitted separately to obtain the corresponding mathematical models, then the corresponding mathematical model was obtained, and through variance analysis to judge the excellent degree of model fitting, the generated second-order model was as follows:(6)y=β0+∑i=1kβixi+∑i=1kβiixi2+∑i<jkβijxixj.In the formula,y is the objective function to be regressed, K is the umber of variables、 βi is the coefficient of Linear Parameter, xi is the factor variable, and βi is the quadratic parameter coefficient.The mathematical model of the condensate water quantity and outlet temperature in the water intake experiment of the condenser with constant condensing temperature can be expressed by a quadratic equation in a unified form:(7)y=β0+β1vi+β2ti+β11vi2+β22ti2+β12viti.The values of the coefficients in the formula are shown in Table4.Table 4
Condensate water model coefficient.
Coefficientβ0β1β2β11β12β22Model of condensate water−218.529.2927.95−0.16−0.79−0.15Model of outlet temperature8.9−0.170.45000The variance analysis of the model prediction data and the experimental data shows that the inlet wind speed and inlet specific humidityP values are less than 0.01, indicating that these two factors have a significant impact on the condensate water quantity and outlet temperature.The response surface diagram of the amount of condensate water is analyzed, and the three-dimensional space curve of the amount of refrigeration condensate water, inlet wind speed, and inlet temperature is drawn. As shown in the figure, the relationship between the amount of condensation water and the two parameters can be seen intuitively.From Figure4, it can be seen that the effect of specific humidity on the amount of condensed water is significantly greater than that of wind speed, so according to different humidity conditions, the inlet wind speed of the condensing device has an optimal point, so according to the mathematical model, under the conditions of humidity ranging 6–14 g/kg, the optimal inlet wind speed range is 21.5 m/s–24.5 m/s.Figure 4
Response surface for vw =y(vi, ti).


## 3.1. Experimental Principle and Method

The experimental system is shown in Figure1. Types and basic parameters of heat exchange tube are listed in Table 1. To ensure that the state of the air is not altered before it enters the condensing unit, the experimental system uses a silicone hose with an insulating cotton outer wall to connect the constant temperature and humidity chamber to the condensing unit. The end of the outlet line is placed in a beaker and the amount of water condensed is recorded in real time using a meter device. Temperature and humidity sensors are installed in the inlet and outlet air lines to collect temperature and humidity data from the inlet and outlet air to monitor the heat transfer in real time.Figure 1
The experimental device and structural drawing of spiral corrugated condenser tube. (a) Experimental device diagram. (b) Structural drawing of spiral corrugated condenser tube.
(a)(b)Table 1
Types and basic parameters of spiral corrugated condenser tube.
Type of heat exchange tubeThread diameter (di) (mm)Thread spacing (p) (mm)Thread inclination (α)Thread depth (e) (mm)Spiral fluted tube101245°0.3The experiment uses the fan in the constant temperature and humidity box to send the air in the box through the inlet air line to the condensing unit and to carry out heat exchange. When the air temperature drops below the dew point through the heat exchange, the water vapor begins to undergo a phase change and condenses into liquid water on the inner wall of the condensing unit, which flows out along the wall of the condensing unit under the action of gravity and airflow. The condensate flows out along spiral corrugated condenser tube by gravity and airflow and eventually flows into a beaker on an electronic balance, which records the amount of condensed water in real time.Because of the large range of wind speed in the experiment, the available energy loss rate analysis is used to evaluate the comprehensive performance of the flow heat transfer process effectively, which is used as an index to measure the performance of the process and calculate the wind speed range with high heat transfer efficiency.Calculation formula of available energy loss rate is as follows:(1)Ne=6.4375qLλTmRe−0.8222edi−0.39996pdi0.11507Pr−1/3+4.4161ρν3qL3Re2.8181edi1.7273pdi−1.4916.The formula for calculating the optimum Reynolds number with the minimum loss rate of available energy is as follows:(2)Reopt=0.7858q2L4λTmρν3e/di2.12726p/di−1.60667Pr1/30.2747.According to calculation, the loss rate of available energy of 10 mm diameter spirally fluted tube must be less than the optimal Reynolds number 25000 in order to achieve the application purpose of high heat transfer rate and low loss rate of available energy. Therefore, according to the calculation results, the optimal Reynolds number is 8000–25000, corresponding to the wind speed of pipeline 11–35 m/s.Therefore, the wind speed range of 11–35 m/s in the test is set as the wind speed range to meet the higher performance of unit heat transfer. According to the average humidity range in summer in the north of China, the specific humidity range of the inlet air is set as 6–14 g/kg, and the temperature of the inlet air is kept at room temperature 24.5°C through a constant temperature wet air supply silo in order to make the heat transfer effect under different conditions comparable.The power of the humidifier is automatically adjusted by the single-chip microcomputer module to ensure the constant set specific humidity. According to the principle that the lowest dew point temperature is slightly higher than the outer wall temperature of the condenser within the specific humidity range, the temperature of the thermostatic chamber where the condenser is located is set to 4°C, so as to ensure that condensed water is still generated under the lowest specific humidity condition, and the test results of each level are comparable.In order to make the result of the condensed water volume have reference, the air volume in the test is set to be constant 20m³, so the test time is different under the conditions corresponding to different wind speeds, and the specific settings are shown in Table2.Table 2
Test time setting table.
Intake velocity (m/s)11.0017.0023.0029.0035.00 (min)Test time (min)25 min 42 s16 min 36 s12 min 18 s9 min 42 s8


## 3.2. Results and Discussion of Single Factor Experiment

By adjusting the fan power to carry out constant air volume experiment, the influence of different air velocity on heat transfer efficiency and the amount of condensate water produced under different humidity conditions is tested.As shown in Figure2, with the decrease of specific humidity, the amount of condensed water will decrease, and the lower the specific humidity, the more significant the downward trend of condensed water. With the increase of wind speed, the amount of condensed water decreased obviously, and the amount of condensed water was the largest at the lowest wind speed. Under the condition of high specific humidity, with the increase of wind speed, the change of condensed water volume is relatively smooth, while with the decrease of specific humidity and the increase of wind speed, the change of condensed water volume is relatively steep.Figure 2
Variation of condensate water quantity under different wind speed and humidity.The results show that, in order to obtain more condensate water, the lower the specific humidity, the narrower the corresponding optimal wind speed range, while in the case of high specific humidity, the optimal wind speed range is larger.By adjusting the inlet air velocity, the outlet temperature was tested under different specific humidity conditions. As shown in Figure3, with the decrease of specific humidity, the outlet temperature also decreases; that is, the heat transfer effect is better. With the increase of wind speed, the outlet temperature is lower. Under low specific humidity conditions, the outlet temperature decreases faster with the increase of wind speed, and the overall trend is more significant, while under high specific humidity conditions, the outlet temperature changes more smoothly with wind speed.Figure 3
Variation of outlet temperature under different wind speed and humidity.When the fluid is turbulent in the pipe, the relationship between the factors and the surface heat transfer coefficient is as follows:(3)h=fu0.8,λ0.6,cp0.4,ρ0.8,μ0.4,d−0.2.The higher the wind speed, the higher the heat transfer coefficient.Using the lumped parameter method, the heat exchange between the heat conducting body and the fluid in the time interval from the initial time to a certain instant can be obtained by integrating the instantaneous heat flux with time, and the instantaneous heat flux of the heat conducting body is(4)φ=−ρcVdtdτ=−ρcVt0−t∞−hApcVexp−hApcVτ=t0−t∞hAexp−hApcV.The total heat exchanged betweenτ = 0 and τ is(5)Qτ=∫0τφdτ=t0−t∞∫0τhAexp−hAρcVτdτ=t0−t∞ρcV1−exp−hAρcVτ.The higher the wind speed, the higher the heat transfer coefficient; from the above formula it can be seen that the amount of heat transfer and time have a direct relationship, when the outlet temperature is lower. However, the faster the wind speed, the less the heat transfer time in the condensing tube, and when the heat transfer decreases, the condensed water volume decreases. The outlet temperature decreases with the decrease of specific humidity. When the specific humidity is smaller, the heat transfer coefficient is higher, which is due to the reduction of specific humidity, the reduction of condensate water in the pipe, and the corresponding reduction of latent heat of water vapor phase transformation, resulting in the decrease of outlet temperature.When the specific humidity is lower, with the increase of wind speed, the increase of heat transfer coefficient is more obvious, which is due to the increase of wind speed leading to the reduction of phase transformation in the condensation tube, and the lower the specific humidity is, the more obvious the reduction of phase transformation is. Insufficient to reasonably obtain the best operating conditions, using the central composite experimental design method, the nonlinear relationship between wind speed and humidity and the corresponding condensate water and outlet temperature is evaluated, the specific test design and results are shown in Table3.Table 3
Experiment and results of intensified condenser with variable air velocity.
Air velocity vi (m/s)Humidity ti (g/kg)Condensate water Vw (g)Outlet temperatureT (°C)351461.28.7231072.110231072.1106.0310013231072.1102315.6683.213111495.212.3231072.11039.971040.571165.310234.34083561.97231072.110


## 3.3. Data Processing and Analysis of Central Composite Design Test

The data of condensate water quantity and outlet temperature were obtained by central composite test, and the regression of multiple quadratic equation was carried out by response surface method, and the functions are fitted separately to obtain the corresponding mathematical models, then the corresponding mathematical model was obtained, and through variance analysis to judge the excellent degree of model fitting, the generated second-order model was as follows:(6)y=β0+∑i=1kβixi+∑i=1kβiixi2+∑i<jkβijxixj.In the formula,y is the objective function to be regressed, K is the umber of variables、 βi is the coefficient of Linear Parameter, xi is the factor variable, and βi is the quadratic parameter coefficient.The mathematical model of the condensate water quantity and outlet temperature in the water intake experiment of the condenser with constant condensing temperature can be expressed by a quadratic equation in a unified form:(7)y=β0+β1vi+β2ti+β11vi2+β22ti2+β12viti.The values of the coefficients in the formula are shown in Table4.Table 4
Condensate water model coefficient.
Coefficientβ0β1β2β11β12β22Model of condensate water−218.529.2927.95−0.16−0.79−0.15Model of outlet temperature8.9−0.170.45000The variance analysis of the model prediction data and the experimental data shows that the inlet wind speed and inlet specific humidityP values are less than 0.01, indicating that these two factors have a significant impact on the condensate water quantity and outlet temperature.The response surface diagram of the amount of condensate water is analyzed, and the three-dimensional space curve of the amount of refrigeration condensate water, inlet wind speed, and inlet temperature is drawn. As shown in the figure, the relationship between the amount of condensation water and the two parameters can be seen intuitively.From Figure4, it can be seen that the effect of specific humidity on the amount of condensed water is significantly greater than that of wind speed, so according to different humidity conditions, the inlet wind speed of the condensing device has an optimal point, so according to the mathematical model, under the conditions of humidity ranging 6–14 g/kg, the optimal inlet wind speed range is 21.5 m/s–24.5 m/s.Figure 4
Response surface for vw =y(vi, ti).


## 4. Field Experiment

Using the central composite experimental method, the relationship between wind speed and humidity and the corresponding condensate volume and outlet temperature is solved, and after deriving an expression for the nonlinear relationship between them, the field experimental system, experimental location, and experimental parameters are designed.


### 4.1. Experimental Principle

Due to the different specific heat capacity of air and soil, there is often a certain temperature difference. The soil temperature is often lower than the air temperature in the daytime, and the air temperature will gradually decrease after the higher temperature air is sent into the underground heat exchanger by the fan. When the air temperature drops to the dew point temperature, the excess moisture in the air will precipitate, and the purpose of water intake can be achieved by collection.


### 4.2. Experimental System

The process of the new type of cold air water intake system is shown in Figure5. After being pressurized by the fan, the air enters the underground heat exchanger along the inlet pipeline and indirectly exchanges heat with the underground soil with lower temperature. When the air temperature drops below the dew point temperature, the water vapor condenses and agglomerates to form liquid droplets, which are collected by the lower water reservoir along the heat exchanger pipeline and then pumped up by the water pump to complete a heat exchange cycle for utilization. The air after cooling is discharged to the ground with the outlet pipeline.Figure 5
Technological flowchart of water intake by cold air.The model of the ground heat exchanger is shown in Figure6. The cross-sectional area of the inlet and outlet is 0.01 m2, and a sensor is installed to monitor the local air temperature, humidity, wind pressure, and wind speed. A reducer tee is connected below the pipe of the heat exchanger, which mainly plays a role in separating air and condensate, and the condensate is collected by a water reservoir below the heat exchanger after separation. The diameter of the heat exchanger is 0.68 m, the height is 0.98 m, and it is placed vertically underground in the experiment, and the bottom is located at the position of 2 m underground.Figure 6
Ground heat exchanger model.


### 4.3. Experimental Method and Main Parameters

Limited by the heat transfer area of the heat exchanger, the overall water intake rate of the experiment is not high, so in order to reduce the measurement error of water intake, a 20-hour continuous collection experiment was carried out, and the air flow rate remained unchanged during the experiment. In order to get better heat transfer effect, the experiment was carried out on a day when the air temperature was higher, the air temperature was between 30°C and 45°C, and the initial soil temperature was 19°C; the temperature and humidity profile of the test reference city is shown in Figure7.Figure 7
The temperature and humidity profile. (a) The humidity profile. (b) The temperature profile.
(a)(b)The air inlet and outlet sensors were recorded every 2 minutes, and the soil temperature at a depth of 10 cm from the surface was also recorded. After the experiment, the condensed water collected from the water reservoir was weighed. The main experimental parameters are shown in Table5.Table 5
Main parameters of cold air water intake experiment.
Main parametersData collection time13 : 20–9 : 00Heat exchange area (m2)2.3738Soil initial temperature (°C)19Air temperature (°C)30–45Air velocity (m/s)1.5 ± 0.1Air flow (m3/h)54 ± 3.5Air relative humidity (%)20–50Intake pressure (KPa)1.2Outlet pressure (KPa)0.1


## 4.1. Experimental Principle

Due to the different specific heat capacity of air and soil, there is often a certain temperature difference. The soil temperature is often lower than the air temperature in the daytime, and the air temperature will gradually decrease after the higher temperature air is sent into the underground heat exchanger by the fan. When the air temperature drops to the dew point temperature, the excess moisture in the air will precipitate, and the purpose of water intake can be achieved by collection.


## 4.2. Experimental System

The process of the new type of cold air water intake system is shown in Figure5. After being pressurized by the fan, the air enters the underground heat exchanger along the inlet pipeline and indirectly exchanges heat with the underground soil with lower temperature. When the air temperature drops below the dew point temperature, the water vapor condenses and agglomerates to form liquid droplets, which are collected by the lower water reservoir along the heat exchanger pipeline and then pumped up by the water pump to complete a heat exchange cycle for utilization. The air after cooling is discharged to the ground with the outlet pipeline.Figure 5
Technological flowchart of water intake by cold air.The model of the ground heat exchanger is shown in Figure6. The cross-sectional area of the inlet and outlet is 0.01 m2, and a sensor is installed to monitor the local air temperature, humidity, wind pressure, and wind speed. A reducer tee is connected below the pipe of the heat exchanger, which mainly plays a role in separating air and condensate, and the condensate is collected by a water reservoir below the heat exchanger after separation. The diameter of the heat exchanger is 0.68 m, the height is 0.98 m, and it is placed vertically underground in the experiment, and the bottom is located at the position of 2 m underground.Figure 6
Ground heat exchanger model.


## 4.3. Experimental Method and Main Parameters

Limited by the heat transfer area of the heat exchanger, the overall water intake rate of the experiment is not high, so in order to reduce the measurement error of water intake, a 20-hour continuous collection experiment was carried out, and the air flow rate remained unchanged during the experiment. In order to get better heat transfer effect, the experiment was carried out on a day when the air temperature was higher, the air temperature was between 30°C and 45°C, and the initial soil temperature was 19°C; the temperature and humidity profile of the test reference city is shown in Figure7.Figure 7
The temperature and humidity profile. (a) The humidity profile. (b) The temperature profile.
(a)(b)The air inlet and outlet sensors were recorded every 2 minutes, and the soil temperature at a depth of 10 cm from the surface was also recorded. After the experiment, the condensed water collected from the water reservoir was weighed. The main experimental parameters are shown in Table5.Table 5
Main parameters of cold air water intake experiment.
Main parametersData collection time13 : 20–9 : 00Heat exchange area (m2)2.3738Soil initial temperature (°C)19Air temperature (°C)30–45Air velocity (m/s)1.5 ± 0.1Air flow (m3/h)54 ± 3.5Air relative humidity (%)20–50Intake pressure (KPa)1.2Outlet pressure (KPa)0.1


## 5. Results and Discussion

### 5.1. Temperature Change during the Experiment

During the experiment, three sensors were used to monitor the air temperature of the air inlet and the air outlet and the soil temperature of 10 cm underground in real time, and a group of data was recorded every 2 minutes, and the temperature changes of the three positions in the whole experiment are shown in Figure8. The results show that the overall heat transfer effect of air passing through the ground heat exchanger is ideal, and the outlet temperature is close to the soil temperature. The inlet air temperature fluctuates greatly with time, and the temperature difference is large in different time periods, while the soil temperature is relatively stable.Figure 8
Temperature change curve at different detection positions.Therefore, the temperature difference between the inlet and outlet air is large in the daytime, the highest temperature can reach about 20°C, and the effect of heat transfer between air and soil is better. At night, due to the low temperature of the outside air and the small temperature difference with the soil, the heat transfer effect is weakened.During the experiment, soil temperature continued to rise slowly, after 20 hours, a total increase of 2.4°C, and the temperature change was small. At the end of the experiment, the ventilation and heat transfer were stopped, and the soil temperature recovery was tested. The results showed that the soil temperature could recover to the initial state after about 24 hours, so the soil could be used as a continuous cold source to cool the air.


### 5.2. Humidity Changes during the Experiment

Inlet and outlet sensors can monitor the relative humidity changes before and after air heat transfer in real time, and the humidity change curve combined with real-time temperature is shown in Figure9. During the experiment, the relative humidity of the atmosphere fluctuated from 20% to 50%, and the calculated moisture content was 10–18 g/kg dry air. The results show that, for different air initial relative humidity, the air humidity of inlet and outlet always keep synchronous, and no matter whether the air humidity is high or low, the cold air water intake system can obtain more stable water intake.Figure 9
Air humidity in inlet and outlet.


### 5.3. Analysis of Influencing Factors of Water Intake Capacity

The instantaneous water intake obtained by theoretical calculation is shown in Figure10. With the progress of the experiment, the instantaneous water output of air cooling gradually decreased and tended to be stable. The results show that the small water intake experimental equipment can theoretically take 100–300 g water from air per hour, and the theoretical water intake can reach 2.7 kg in 20-hour continuous collection experiment, while the actual weighing result is 2.2 kg, with a relative error of 18%.Figure 10
Theoretical water yield of air cooling.The possible causes of the error are analyzed. On the one hand, the actual condensation amount is less than the theoretical value because of the supersaturation of water vapor in the process of condensation. On the other hand, it may be due to the fact that part of the condensate water is attached to the inner wall of the pipeline and the water reservoir during the extraction process, resulting in the actual measurement value being too small. At the same time, the results show that it is very effective to use ground air to cool the water.In addition, in a fixed period of time, the soil temperature is relatively constant, and the water intake capacity of the system is mainly affected by air temperature; the greater the temperature difference between air and soil, the stronger the water intake capacity of the system. The water intake is less affected by the relative humidity of the air, which shows that the environmental adaptability of the system is relatively strong, and it can also be used to obtain more stable water sources in extremely arid areas.


## 5.1. Temperature Change during the Experiment

During the experiment, three sensors were used to monitor the air temperature of the air inlet and the air outlet and the soil temperature of 10 cm underground in real time, and a group of data was recorded every 2 minutes, and the temperature changes of the three positions in the whole experiment are shown in Figure8. The results show that the overall heat transfer effect of air passing through the ground heat exchanger is ideal, and the outlet temperature is close to the soil temperature. The inlet air temperature fluctuates greatly with time, and the temperature difference is large in different time periods, while the soil temperature is relatively stable.Figure 8
Temperature change curve at different detection positions.Therefore, the temperature difference between the inlet and outlet air is large in the daytime, the highest temperature can reach about 20°C, and the effect of heat transfer between air and soil is better. At night, due to the low temperature of the outside air and the small temperature difference with the soil, the heat transfer effect is weakened.During the experiment, soil temperature continued to rise slowly, after 20 hours, a total increase of 2.4°C, and the temperature change was small. At the end of the experiment, the ventilation and heat transfer were stopped, and the soil temperature recovery was tested. The results showed that the soil temperature could recover to the initial state after about 24 hours, so the soil could be used as a continuous cold source to cool the air.


## 5.2. Humidity Changes during the Experiment

Inlet and outlet sensors can monitor the relative humidity changes before and after air heat transfer in real time, and the humidity change curve combined with real-time temperature is shown in Figure9. During the experiment, the relative humidity of the atmosphere fluctuated from 20% to 50%, and the calculated moisture content was 10–18 g/kg dry air. The results show that, for different air initial relative humidity, the air humidity of inlet and outlet always keep synchronous, and no matter whether the air humidity is high or low, the cold air water intake system can obtain more stable water intake.Figure 9
Air humidity in inlet and outlet.


## 5.3. Analysis of Influencing Factors of Water Intake Capacity

The instantaneous water intake obtained by theoretical calculation is shown in Figure10. With the progress of the experiment, the instantaneous water output of air cooling gradually decreased and tended to be stable. The results show that the small water intake experimental equipment can theoretically take 100–300 g water from air per hour, and the theoretical water intake can reach 2.7 kg in 20-hour continuous collection experiment, while the actual weighing result is 2.2 kg, with a relative error of 18%.Figure 10
Theoretical water yield of air cooling.The possible causes of the error are analyzed. On the one hand, the actual condensation amount is less than the theoretical value because of the supersaturation of water vapor in the process of condensation. On the other hand, it may be due to the fact that part of the condensate water is attached to the inner wall of the pipeline and the water reservoir during the extraction process, resulting in the actual measurement value being too small. At the same time, the results show that it is very effective to use ground air to cool the water.In addition, in a fixed period of time, the soil temperature is relatively constant, and the water intake capacity of the system is mainly affected by air temperature; the greater the temperature difference between air and soil, the stronger the water intake capacity of the system. The water intake is less affected by the relative humidity of the air, which shows that the environmental adaptability of the system is relatively strong, and it can also be used to obtain more stable water sources in extremely arid areas.


## 6. Conclusions

The availability of water resources is becoming increasingly problematic, and the natural reserves are gradually reducing. This work proposes a new simple and innovative method of drawing water from the air, based on extracting water from air process achieved by using the soil as the cold source.Through the central composite design experiment, the condensate water quantity and outlet temperature under different wind speed and humidity conditions were analyzed, and the mathematical model equation expression of condensate water quantity and outlet temperature was obtained. According to the mathematical model and experimental environment, after analyzing the influence of each parameter on the experiment, the experimental parameters were set and the experiment was carried out. The results showed the following:(1)
The mathematical model of condensate water quantity and outlet temperature can be expressed by a quadratic equation in a unified form:(8)y=β0+β1vi+β2ti+β11vi2+β22ti2+β12viti.(2)
Air through the underground heat exchanger heat transfer effect is ideal, and the water intake can reach 2.2 kg in 20-hour continuous collection experiment. For different inlet air temperature, outlet temperature is always close to the soil temperature. In the whole process, the soil temperature changed slightly and recovered rapidly in a short time, which confirmed the feasibility of soil as a cold source for air condensation.(3)
Through the comparative analysis of the results and the causes of the relative experimental errors and the conclusion that the field test and laboratory test results are basically consistent, the experiment confirms the correctness of the theoretical model and provides a theoretical basis for future water intake tests.



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*Source: 2740081-2021-11-28.xml*