Submitted:
11 June 2023
Posted:
13 June 2023
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Mathematical model of the hydrocooler
| Nomenclature | Subscripts | ||
|
A c C d E EER Ekg Etal h l m n N0 P P0 q q0 ql qm qV Q Qmax Qchr r R t T TES u vin VR Vth w0 ΔT |
area, m2 specific heat, J kg-1 K-1 latent heat, J kg-1 diameter, m energy consumption, J energy efficiency ratio average energy consumption of precooling 1 kg of litchi, kJ kg-1 power consumption of charging and precooling, J heat transfer coefficient, W m-2 K-1 length, m weight, kg number of precooling batches of litchi theoretical energy consumption, W heat load, W refrigerating capacity of refrigeration system, W heat load per unit area, W m-2 refrigeration capacity per unit mass, kJ kg-1 density of heat flow rate, W m-2 mass flow, kg s-1 refrigeration capacity per unit volume, kJ m-3 quantity of heat, J the maximum TES capacity of TES tank, J TES capacity of charging, J radius, m heat conduction resistance, m2 K W-1 time, s or h temperature, °C thermal energy storage, J precooling rate, kg h-1 inspiratory specific volume, m3 kg-1 volume flow rate, m3 s-1 theoretical gas transfer volume, m3 unit theoretical work, kJ kg-1 temperature difference, °C |
amb chr coi com con ctp cwp eff eli eva itw itl iw ilt ils ilc isc iic lit load lod oic osc osi otp siw spr spb src spa sta tal thb tst ttl ttw wat wpp wpw |
ambient charging evaporation coil comprehensive condenser the end of charging to the end of precooling circulating water pipe effective TES energy lost through insulation evaporator initial temperature of water initial temperature of litchi ice and water insulation layer of TES tank insulation layer of spray precooling box insulation layer of circulating water pipe inner surface of coil inner surface of insulation layer of circulating water pipe litchi load of litchi precooling cooling loss rate caused by opening the door outer surface of insulation layer of circulating water pipe outer surface of coil outer surface of ice operation of water pump contact surface between insulation layer and water spray precooling spray precooling box contact surface between refrigerant and coil contact surface between spray precooling box and air contact surface between TES tank and air total thermal bridge TES tank termination temperature of litchi precooling termination precooling temperature of water water water pump power water pump works on water |
| Greek symbols | |||
|
α β λ δ ρ |
power coefficient of water pump volumetric efficiency of compressor thermal conductivity, W m-1 K-1 thickness, m density, kg m-3 |
||
2.1. Mathematical model of TES system
2.2. Thermal resistance of ice-on-coil
2.3. Mathematical model of refrigeration system
2.4. Solution of mathematical model
3. Design and fabrication of hydrocooler
3.1. Overall structure
3.2. Structure of TES system
3.3. Structure of spray hydrocooling system
4. Charging test and litchi spray precooling tests
4.1. Experimental setup
4.2. Charging test
4.3. Litchi spray precooling tests
4.4. Evaluation of spray hydrocooler performance
5. Results and discussions
5.1. Experiment Ⅰ: Charging of TES tank
5.1.1. Variation of water temperature and ice thickness
5.1.2. Variation of TES capacity and EER
5.2. Experiment Ⅱ: litchi spray hydrocooling performance
5.2.1. The temperature of litchi and water
5.2.2. Precooling capacity and precooling rate
5.2.3. Total power consumption and average power consumption
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Parameters | Property | Values |
|---|---|---|
| Acwp | Area of contact surface between circulating water pipe and air | 1.1 m2 (Calculated) |
| Aspb | Area of contact surface between spray precooling box and air | 4 m2 (Assumed) |
| Atst | Area of contact surface between thermal storage tank and air | 10 m2 (Assumed) |
| clit | Specific heat of litchi | 3.704×103 J kg-1 K-1[32] |
| cwat | Specific heat of water | 4.2×103 J kg-1 K-1[33] |
| Cice | Latent heat of water freezing | 3.35×105 J kg-1[33] |
| hisc | Boiling coefficient of heat transfer on the refrigerant in the coil | 4000 W m-2 K-1[33] |
| hosi | Convective heat transfer coefficient between ice and water | 400 W m-2 K-1[33] |
| hsiw | Convection heat transfer coefficient of water and thermal storage tank | 100 W m-2 K-1[33] |
| hspa | Convection heat transfer coefficient of spray precooling box and air | 20 W m-2 K-1 (Measured) |
| hsta | Convection heat transfer coefficient of thermal storage tank and air | 6 W m-2 K-1 (Measured) |
| mlit | The mass of litchi precooling | 1000 kg (Assumed) |
| mwat | The mass of water in thermal storage tank | 1200 kg (Assumed) |
| Plod | Cooling loss rate caused by opening the door | 300 W (Assumed) |
| Pthb | Power of heat bridge heat transfer | 200 W (Assumed) |
| Pwpp | Water pump power in precooling | 280 W (Calculated) |
| qcon | Heat load per unit area of the condenser | 260 W m-2[31] |
| qeva | Heat load per unit area of the evaporator | 3500 W m-2[31] |
| rcoi | Radius of evaporation coil | 0.008 m (Assumed) |
| riic | Radius of circulating water pipe | 0.032 m (Assumed) |
| risc | Inner radius of evaporation coil | 0.007 m (Follow determination) |
| roic | Radius of circulating water pipe insulation layer | 0.072 m (Follow determination) |
| tchr | Charging time of thermal storage | 12 h (Assumed) |
| tctp | Time from the end of charging to the end of precooling | 12 h (Assumed) |
| totp | Operation time of water pump | 8 h (Assumed) |
| Tamb | The ambient temperature | 30 °C (Measured) |
| Tilt | The initial temperature of litchi precooling | 29 °C (Measured) |
| Titw | The initial temperature of water | 31 °C (Measured) |
| Tosi | Outer surface temperature of ice | 0 °C (Assumed) |
| Tttl | The termination temperature of litchi precooling | 8 °C (Assumed) |
| Tttw | The termination precooling temperature of water | 7 °C (Assumed) |
| Twat | The water temperature of thermal storage tank | 15 °C charging (Assumed) 3 °C after charging (Assumed) |
| α | The power coefficient of water pump | 0.57 (Measured) |
| δils | Insulation layer thickness of spray hydrocooling box | 0.01 m (Assumed) |
| δilt | Insulation layer thickness of thermal storage tank | 0.05 m (Assumed) |
| λcoi | Coil’s thermal conductivity | 377 W m-1 K-1 [33] |
| λice | Ice layer’s thermal conductivity | 2.22 W m-1 K-1 [33] |
| λilc | Insulation layer thermal conductivity | 0.038 W m-1 K-1 [33] |
| λils | Insulation layer thermal conductivity | 0.038 W m-1 K-1 [33] |
| λilt | Insulation layer thermal conductivity | 0.038 W m-1 K-1[33] |
| ρice | Density of ice | 920 kg m-³ [33] |
| Parameters | Property | Values | The reference equations |
| Qlit | Thermal energy absorbed by litchi precooling | 8.1×107 J | Equation (1) |
| Qchr | TES capacity of charging | 2.4×108 J | Equation (2)-(7) |
| mice | Ice storage capacity of charging | 256 kg | Equation (8) |
| δice | Thickness of icicle | 0.04 m | Figure 3 and Equation (10)-(14) |
| lcoi | Length of evaporation coil | 39.6 m | Equation (9) |
| P0 | Refrigerating capacity of compressor | 5900 W | Equation (15)-(17) |
| Acon | Heat transfer area of condenser | 22.6 m2 | Equation (18) |
| Aeva | Heat transfer area of evaporator | 2 m2 | Equation (19)-(20) |
| Component | Size or model | Material or company | Values |
| Compressor | QXL-30E | Zhejiang Boyang | 3180 W(-10 °C) |
| Condenser | Small 3-HP | SIMCO | 18 m2×2 |
| Evaporation coil | 0.016 m diameter | Copper | 43.4 m |
| Circulating water pipe | 0.032 m diameter | PVC | 5 m |
| Thermal energy storage tank | 1.7 × 0.85 × 1 m3 | Stainless-steel | 1.4 m3 |
| Spray precooling box | 0.75 × 0.52 × 0.45 m3 | Acrylic | 0.18 m3 |
| Nozzle | 0.0015 m diameter | Silica gel | Variable size |
| Sprinkle | 0.25 × 0.25 × 0.006 m3 | Stainless-steel | 3-10 L min-1×6 |
| Precooling basket | 0.35×0.48×0.16 m3 | Plastic | 200 g |
| Water pump | SD-750 | Weller | Frequency conversion |
| Test | Charging time (h) | Litchi load (kg) | Spray flow rate (L min-1) |
Water storage capacity of TES tank (kg) |
| 1 | 12 | -- | -- | 1200 |
| 2 | 4 | 23 | 30 | 400 |
| 3 | 3 | 23 | 30 | 400 |
| 4 | 5 | 23 | 30 | 400 |
| 5 | 6 | 23 | 30 | 400 |
| 6 | 5 | 8 | 30 | 400 |
| 7 | 5 | 13 | 30 | 400 |
| 8 | 5 | 18 | 30 | 400 |
| 9 | 5 | 28 | 30 | 400 |
| 10 | 5 | 23 | 20 | 400 |
| 11 | 5 | 23 | 40 | 400 |
| 12 | 5 | 23 | 50 | 400 |
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