Comparative Analysis of the Filling Mass of Vertical Heat Exchanger Tubes on the Thermal Environment of Arched Greenhouses
Abstract
:1. Introduction
2. Materials and Methods
2.1. Experiment Setting
2.2. Hollow Vertical Heat Exchange Tube Device
2.3. Filling Medium
2.4. Measuring Point Arrangement
2.4.1. Placement of Temperature Measuring Point
2.4.2. Relative Humidity Measuring Point Arrangement
2.4.3. The Arrangement of Measuring Points for Tube Wall Temperature, Working Medium Temperature, and Soil Horizontal Temperature around the Tube
2.5. Energy Exchange Model in Arch Shed
- The thermal conductivity and heat storage of transparent materials can be ignored;
- The long-wave radiation heat transfer between the inner surfaces of the greenhouse is not considered;
- The thermal physical parameters of the tube and soil of the heat exchange tube are fixed;
- There is no evaporation and infiltration of water on the soil surface and underground, no ventilation in the shed, and no loss of water vapor in the air.
2.6. The Repeatability Characteristic of the Experiments
3. Results
3.1. Verification of Heat Exchange Tube ‘Peak Shifting and Valley Filling’ to Regulate the Greenhouse Thermal Environment
3.1.1. Experimental Verification of Soil Layer Temperature and Tube Wall Temperature around the Heat Exchange Tube
3.1.2. Simulation Verification of Air Temperature in Greenhouse
3.2. Analysis of Working Medium Temperature and Energy Exchange in Tube
3.3. Soil Layer Temperature Analysis
3.3.1. Air as the Working Medium in the Heat Exchange Tube
3.3.2. Water as the Working Medium in the Heat Exchange Tube
3.3.3. PCM as the Working Medium in the Heat Exchange Tube
3.4. Analysis of Air Temperature and Humidity in Shed
4. Discussion
5. Conclusions
- In the horizontal layer of soil surrounding the heat exchange tubes, the temperature decreases as the distance from the tube increases during the day, while at night, the temperature exhibits an upward trend as the distance from the tube increases. This indicates that the heat exchange tubes transfer heat to the soil during the day and absorb heat from the soil layer at night. Additionally, there is a decreasing temperature gradient along the length of the tube during the day, from the upper end to the lower end, and a decreasing gradient at night, from the lower end to the upper end. Both ends of the tube exhibit a large temperature difference, which facilitates the storage and release of heat in the soil through the heat transfer process of the heat exchange tubes.
- Among the three different working fluids used in the heat exchange tube array, namely air, water, and PCM, under the same outdoor environment, air shows a temperature fluctuation range of 2.5–55 °C, water fluctuates between 16 and 55 °C, and PCM varies from 10 to 45 °C. The relative heat storage capacity of a single array vertical heat exchange tube filled with air is 0.34 kJ/d, while that of water is 887.04 kJ/d, and that of PCM is 1200.26 kJ/d. Hence, the heat exchange tube with PCM as the filling medium can effectively support high heat storage capacity as well as maintain stable temperature fluctuations, which is particularly beneficial for plant growth conditions.
- The trio of filling mediums utilized in the array heat exchange tubes all demonstrate an improvement in soil layer temperature and a reduction in temperature fluctuations. However, when the heat storage medium within the tube is phase-change material (PCM), the array heat exchange tube showcases the greatest ability to regulate soil layer temperature. With PCM as the working medium within the tube, the peak temperature at a depth of 10 cm is reduced by 1 °C, the valley temperature increases by approximately 4 °C, the temperature at a depth of 30 cm increases by 1.5 °C, and the temperature at a depth of 50 cm increases by approximately 1 °C.
- The heat exchange tubes, which contain the three working fluids, have a constant temperature peak shifting and valley-filling effect on the air temperature inside the shed. Furthermore, the tubes moderately increase the relative humidity of the air during the daytime and decrease it at night. As the fluid flowing inside the pipes, PCM possesses remarkable capabilities in regulating the airflow inside the shed. It can lower the average daytime air temperature by 8 °C while simultaneously increasing the relative air humidity by 8%. At night, on the other hand, PCM can raise the average air temperature by 5 °C and reduce the relative air humidity by 10%.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
Symbols | |
L | Maximum north–south shading distance between the control shed and the experimental shed |
HS | Solar altitude angle of the experimental site |
B1 | Local latitude of the experimental site |
B0 | The sun is directly over the Tropic of Capricorn at 23.26° latitude on the winter solstice |
PT100 | Temperature probe |
PT700 | Data Collector |
Ambient air temperature measurement points in the shed | |
Soil level temperature measurement point 1 | |
Soil level temperature measurement point 2 | |
Soil level temperature measurement point 3 | |
Soil level temperature measurement point 4 | |
Soil level temperature measurement point 5 | |
Soil level temperature measurement point 6 | |
A1-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 1 |
A1-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 1 |
A1-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 1 |
A2-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 2 |
A2-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 2 |
A2-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 2 |
A3-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 3 |
A3-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 3 |
A3-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 3 |
A4-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 4 |
A4-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 4 |
A4-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 4 |
A5-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 5 |
A5-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 5 |
A5-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 5 |
A6-10 | Temperature measurement at 10 cm soil depth at control shed level measurement point 6 |
A6-30 | Temperature measurement at 30 cm soil depth at control shed level measurement point 6 |
A6-50 | Temperature measurement at 50 cm soil depth at control shed level measurement point 6 |
Aa-0 | Control shed ambient air above ground 0 cm temperature measurement points |
Aa-30 | Control shed ambient air above ground 30 cm temperature measurement points |
Aa-60 | Control shed ambient air above ground 60 cm temperature measurement points |
Aa-90 | Control shed ambient air above ground 90 cm temperature measurement points |
Aa-120 | Control shed ambient air above ground 120 cm temperature measurement points |
Aa-150 | Control shed ambient air above ground 150 cm temperature measurement points |
Aa-180 | Control shed ambient air above ground 180 cm temperature measurement points |
Ba-0 | Experimental greenhouse ambient air above ground 0 cm temperature measurement points |
Ba-30 | Experimental greenhouse ambient air above ground 30 cm temperature measurement points |
Ba-60 | Experimental greenhouse ambient air above ground 60 cm temperature measurement points |
Ba-90 | Experimental greenhouse ambient air above ground 90 cm temperature measurement points |
Ba-120 | Experimental greenhouse ambient air above ground 120 cm temperature measurement points |
Ba-150 | Experimental greenhouse ambient air above ground 150 cm temperature measurement points |
Ba-180 | Experimental greenhouse ambient air above ground 180 cm temperature measurement points |
AW-30 | Air relative humidity of 30 cm above ground in the control shed |
AW-100 | Air relative humidity of 100 cm above ground in the control shed |
AW-170 | Air relative humidity of 170 cm above ground in the control shed |
BW-30 | Relative humidity of air at 30 cm above the floor of the experimental shed |
BW-100 | Relative humidity of air at 100 cm above the floor of the experimental shed |
BW-170 | Relative humidity of air at 170 cm above the floor of the experimental shed |
Packing medium | |
Tube wall temperature measurement point | |
Temperature measuring point in tube | |
Soil temperature measurement point 0.1 m from the tube wall | |
Soil temperature measurement point 0.2 m from the tube wall | |
Soil temperature measurement point 0.3 m from the tube wall | |
BT_-50 | Heat exchanger tube wall underground 50 cm temperature measurement point |
BT_-30 | Heat exchanger tube wall underground 30 cm temperature measurement point |
BT_-10 | Heat exchanger tube wall underground 10 cm temperature measurement point |
BT_30 | 30 cm temperature measurement point on the wall of the heat exchanger tube |
BT_60 | 60 cm temperature measurement point on the wall of the heat exchanger tube |
BT_90 | 90 cm temperature measurement point on the wall of the heat exchanger tube |
BM_-50 | Temperature measurement point 50 cm below the surface of the working mass in the pipe |
BM_-30 | Temperature measurement point 30 cm below the surface of the working mass in the pipe |
BM_-10 | Temperature measurement point 10 cm below the surface of the working mass in the pipe |
BM_30 | 30 cm temperature measurement point on the ground of the working mass in the tube |
BM_60 | 60 cm temperature measurement point on the ground of the working mass in the tube |
BM_90 | 90 cm temperature measurement point on the ground of the working mass in the tube |
10_-50 | Temperature measurement point 50 cm deep in the soil at 10 cm from the tube horizontally |
10_-30 | Temperature measurement point 30 cm deep in the soil at 10 cm from the tube horizontally |
10_-10 | Temperature measurement point 10 cm deep in the soil at 10 cm from the tube horizontally |
20_-50 | Temperature measurement point 50 cm deep in the soil at 20 cm from the tube horizontally |
20_-30 | Temperature measurement point 30 cm deep in the soil at 20 cm from the tube horizontally |
20_-10 | Temperature measurement point 10 cm deep in the soil at 20 cm from the tube horizontally |
30_-50 | Temperature measurement point 50 cm deep in the soil at 30 cm from the tube horizontally |
30_-30 | Temperature measurement point 30 cm deep in the soil at 30 cm from the tube horizontally |
30_-10 | Temperature measurement point 10 cm deep in the soil at 30 cm from the tube horizontally |
Ca | Air constant pressure specific heat capacity, kJ/(kg·k) |
Va | Volume of air in the shed, m3 |
Qa-s | Heat exchange between air and soil surface, W |
Qa-c | Heat exchange of air through the film, W |
Qrd-a | Air receives heat from solar radiation, W |
Qa-q | Heat exchange of air through heat exchanger tube, W |
Cs | Soil specific heat capacity, kJ/(kg·k) |
As | Soil area of greenhouse, m2 |
ds{m,m +1} | Soil depth, m |
ds{0,1} | Distance from the surface to the first layer, depth 0 cm to 10 cm section, m |
ds{1,2} | The distance from the first layer to the second layer, the depth of 10 cm to 30 cm section, m |
ds{2,3} | The distance from the second layer to the third layer, the depth of 30 cm to 50 cm section, m |
Qs{m,m +1} | Energy transfer between soil depth layer m and layer m + 1, W |
Qq-s | Heat exchange between buried part of heat exchanger tube and soil, W |
Cq | Specific heat capacity of heat exchanger tube material, kJ/(kg·k) |
Acq | Heat exchanger tube cross-sectional area, m2 |
dq | Heat exchanger tube length, m |
Qrd-q | Heat exchanger tube surface absorbs solar radiation for heat exchange, W |
Qq-n | The heat accumulated in the heat exchanger tube by the filling mass, W |
Cn | Specific heat capacity of the working material in the heat exchanger tube, W |
Vn | Volume of working mass in heat exchanger tube, m3 |
ΔTn | Temperature difference of the thermal storage mass, °C |
mn | Quality of filler material, kg |
h | Phase change latent heat value, kJ/kg |
Tn | Regional phase-change material temperature, °C |
T′n | Phase change interval upper temperature, °C |
Greek symbols | |
ρa | Air density in the greenhouse, kg/m3 |
ρs | Soil sensity, kg/m3 |
ρq | Heat exchanger tube density, kg/m3 |
ρn | Density of the working mass in the heat exchanger tube, kg/m3 |
Abbreviations | |
ASHS | Active solar heating system |
CSG | Chinese solar greenhouse |
PCM | Phase-change materials |
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Test Items | Unit | Air | Water | PCM |
---|---|---|---|---|
Phase transition temperature | °C | / | / | 24 |
Latent heat | kJ/kg | / | / | 165.00 |
Density (solid/liquid) | kg/L | 1.29 × 10−3 | 1 | 0.92/0.85 |
Specific heat (solid/liquid) | kJ/kg·K | 1 | 4.2 | 2.20/2.67 |
Thermal conductivity (solid/liquid) | W/m·K | 0.02 | 0.59 | 0.25/0.20 |
Coefficient of volume expansion | % | 0.37 | 0.02 | 7.82 |
Equipment | Parameter |
---|---|
PT100 temperature sensor | Model: ECR3100, range: −50~200 °C, accuracy ±0.02 °C |
Multi-channel data acquisition instrument | Measuring range: −999.9–1999.9, temperature measurement error Difference: ±0.01 °C |
Bluetooth hygrograph | Model: LYWSD03MMC, range: 0~100%, accuracy: ±1% |
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Zhao, M.; Wang, N.; Chang, C.; Hu, X.; Liu, Y.; Liu, L.; Wang, J. Comparative Analysis of the Filling Mass of Vertical Heat Exchanger Tubes on the Thermal Environment of Arched Greenhouses. Energies 2023, 16, 5118. https://doi.org/10.3390/en16135118
Zhao M, Wang N, Chang C, Hu X, Liu Y, Liu L, Wang J. Comparative Analysis of the Filling Mass of Vertical Heat Exchanger Tubes on the Thermal Environment of Arched Greenhouses. Energies. 2023; 16(13):5118. https://doi.org/10.3390/en16135118
Chicago/Turabian StyleZhao, Mingzhi, Ningbo Wang, Chun Chang, Xiaoming Hu, Yingjie Liu, Lei Liu, and Jianan Wang. 2023. "Comparative Analysis of the Filling Mass of Vertical Heat Exchanger Tubes on the Thermal Environment of Arched Greenhouses" Energies 16, no. 13: 5118. https://doi.org/10.3390/en16135118