A Transient Analysis of Latent Thermal Energy Storage Using Phase Change Materials in a Refrigerated Truck
Abstract
:1. Introduction
2. Physical and Technical Requirements of the PCMs
- low-temperature PCM, in which phase change occurs below 15 °C. Typical applications are air conditioning and cooling.
- PCM at average temperature (phase change temperature between 15 °C and 90 °C). They are the most widespread because they are used for the storage of hot water in solar plants, as passive systems in buildings for the maintenance of comfort and environmental air conditioning, and in the cooling of electronic components.
- High-temperature PCM (more than 90 °C) is used in industrial applications, in solar power generation plants, and in aerospace applications.
3. Theoretical Approach for Temperature Control in Transport Containers with PCM
4. Case Study and TRNSYS Model
- the reference climatic conditions are those of Naples (Italy) and the external temperatures considered in this study are those that are the warmest during the year, as the hottest day of the year was chosen for sizing the PCM in order to meet the cooling demand on all days of the year;
- the van makes 10 stops during which the operator opens the door for 1 min. It was considered that during the journey which lasts 10 h (from 8.00 a.m. to 6.00 p.m.), the truck makes one stop per hour to load or unload the food products;
- food products that are stored inside the van are already at the storage temperature set at −18 °C, therefore, the thermal load due to the cooling of food products is neglected;
- Two different velocities of the van (30 and 80 km h−1) have been considered to study two different scenarios: the first refers to a van transporting food products in an urban area where the speed limit is 50 km h−1 (so the average speed of a van is 30 km h−1); the second considers transport on a highway where the speed limit is 90 km h−1 (with an average speed of a van at 80 km h−1).
Transient Model and Governing Equations
- the specific heat of the PCM is constant and equal in both liquid and solid state;
- the thermal contact resistance between the PCM and adjacent layers is negligible;
- the solidification and melting processes take place at a fixed temperature.
5. Results
6. Conclusions
- -
- the use of PCMs E-26 and E-29 can guarantee the cold chain, considering the average speed of the van at both 30 and 80 km h−1 for the entire working day (8.00 a.m.–6 p.m.) and a stationary situation at 0 km h−1;
- -
- the PCM E-26 exhausts its latent energy approximately 20 min before the E-29 PCM at an average van speed of 80 km h−1; while in the case of steady-state conditions, the PCM never reaches a fully melted configuration;
- -
- the average daily cost of the PCM E-26 is equal to EUR 0.96 and EUR 0.98, considering average speed of the van of 30 and 80 km h−1, respectively; in the case of 0 km h−1, the average daily cost is approximately EUR 0.58;
- -
- the average daily cost of the PCM E-29 is equal to EUR 0.99 and EUR 1.03, considering average speed of the van at 30 and 80 km h−1, respectively; in the case of 0 km h−1, the average daily cost is approximately EUR 0.59;
- -
- the daily economic saving due to the use of PCMs is always greater than 70%, up to a maximum of 78.84%, considering the PCM E-26 and the average van speed of 80 km h−1; in the case of 0 km h−1, the daily economic saving is around 83% for both PCMs;
- -
- for the primary energy consumptions, the worst case is connected with the recharging energy of PCM E-29 with a van speed of 80 km h−1; meanwhile, the 0 km h−1 configuration is more cost-effective and energy-efficient, but it represents a small portion of the entire workday for a van transporting food products.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
Roman Symbols | |
m | Mass, kg |
L | Latent heat, kJ |
h | Specific enthalpy, kJ/kg |
H | Door height, m |
t | Time |
Power, kJ/h | |
g | Gravity constant, m/s2 |
A | Surface, m2 |
Fm | Density factor, - |
U | Overall heat transfer coefficient, W/(m2K) |
C | Conductance surface, (W/ m2K) |
x | Thickness, m |
k | Thermal conductivity, W/(mK) |
cp | Specific heat, kJ/(kgK) |
E.E.E. | Energy efficiency ratio, - |
PCM | Phase change material |
N | Number |
Greek symbols | |
ρ | Density, kg/m3 |
∆ | Differential |
λ | Heat transfer coefficient, (W/ m2K) |
Subscripts | |
i | Internal |
r | Refrigerated |
sen | Sensible |
lat | Latent |
tras | Transmission |
PCM | Phase change material |
inf | Infiltration |
mech | Mechanical |
M | Melting |
OD | Open door |
ext | External |
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Description | k [W/(mk)] | cp [kJ/(kgK)] | ρ [kg/m3] | x [mm] |
---|---|---|---|---|
Polyurethane | 0.025 | 1.5 | 45 | 50 |
Galvanized Steel | 52 | 3.69 | 7860 | 1 |
PCM | TM [°C] | ρ [kg/m3] | L [kJ/kg] | cp [kJ/(kgK)] | k [W/(mK)] |
---|---|---|---|---|---|
E-26 | −26 | 1250 | 265 | 3.67 | 0.58 |
E-29 | −29 | 1420 | 250 | 3.69 | 0.64 |
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Cirillo, L.; Greco, A.; Masselli, C. A Transient Analysis of Latent Thermal Energy Storage Using Phase Change Materials in a Refrigerated Truck. Energies 2024, 17, 2665. https://doi.org/10.3390/en17112665
Cirillo L, Greco A, Masselli C. A Transient Analysis of Latent Thermal Energy Storage Using Phase Change Materials in a Refrigerated Truck. Energies. 2024; 17(11):2665. https://doi.org/10.3390/en17112665
Chicago/Turabian StyleCirillo, Luca, Adriana Greco, and Claudia Masselli. 2024. "A Transient Analysis of Latent Thermal Energy Storage Using Phase Change Materials in a Refrigerated Truck" Energies 17, no. 11: 2665. https://doi.org/10.3390/en17112665
APA StyleCirillo, L., Greco, A., & Masselli, C. (2024). A Transient Analysis of Latent Thermal Energy Storage Using Phase Change Materials in a Refrigerated Truck. Energies, 17(11), 2665. https://doi.org/10.3390/en17112665