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1.
Z. A. Qureshi, H. M. Ali, and S. Khushnood, “Recent advances on thermal conductivity enhancement of phase change materials for energy storage system: A review,” Int. J. Heat Mass Transf., vol. 127, pp. 838–856, 2018. [Google Scholar] [Crossref]
2.
S. Abishek, A. J. C. King, N. Nadim, and B. J. Mullins, “Effect of microstructure on melting in metal-foam/paraffin composite phase change materials,” Int. J. Heat Mass Transf., vol. 127, pp. 135–144, 2018. [Google Scholar] [Crossref]
3.
Q. Sun, H. Zhang, J. Xue, X. Yu, Y. Yuan, and X. Cao, “Flexible phase change materials for thermal storage and temperature control,” Chem. Eng. J., vol. 353, pp. 920–929, 2018. [Google Scholar] [Crossref]
4.
R. Senthil, M. Gupta, and C. Rath, “Parametric analysis of a concentrated solar receiver with Scheffler reflector,” Int. J. Mech. Prod. Eng. Res. Dev., vol. 7, no. 5, pp. 261–268, 2017. [Google Scholar]
5.
M. K. Yeşilyurt, H. Nadaroğlu, and Ö. Çomaklı, “Phase change materials and selection thereof for heat transfer applications,” Int. J. Innov. Res. Rev., vol. 3, no. 2, pp. 16–22, 2019. [Google Scholar]
6.
M. K. Yeşilyurt and Ö. Çomakli, “Encapsulated phase change material slurries as working fluid in novel photovoltaic thermal liquid systems: A comprehensive review,” Iran. J. Sci. Technol. Trans. Mech. Eng., vol. 47, no. 4, pp. 1275–1305, 2023. [Google Scholar] [Crossref]
7.
V. V. Tyagi and D. Buddhi, “PCM thermal storage in buildings: A state of art,” Renew. Sustain. Energy Rev., vol. 11, no. 6, pp. 1146–1166, 2007. [Google Scholar] [Crossref]
8.
K. K. Pillai and B. J. Brinkworth, “The storage of low-grade thermal energy using phase change materials,” Appl. Energy, vol. 2, no. 3, pp. 205–216, 1976. [Google Scholar] [Crossref]
9.
P. Verma and S. Singal, “Review of mathematical modeling on latent heat thermal energy storage systems using phase-change material,” Renew. Sustain. Energy Rev., vol. 12, no. 4, pp. 999–1031, 2008. [Google Scholar] [Crossref]
10.
M. Kenısarın and K. Mahkamov, “Solar energy storage using phase change materials,” Renew. Sustain. Energy Rev., vol. 11, no. 9, pp. 1913–1965, 2007. [Google Scholar] [Crossref]
11.
F. He, J. Zou, X. Meng, W. Gao, and L. Ai, “Effect of copper foam fin (CFF) shapes on thermal performance improvement of the latent heat storage units,” J. Energy Storage, vol. 45, p. 103520, 2022. [Google Scholar] [Crossref]
12.
A. Acır and M. Emin Canlı, “Investigation of fin application effects on melting time in a latent thermal energy storage system with phase change material (PCM),” Appl. Therm. Eng., vol. 144, pp. 1071–1080, 2018. [Google Scholar] [Crossref]
13.
S. Kahwaji, M. B. Johnson, A. C. Kheirabadi, D. Groulx, and M. A. White, “A comprehensive study of properties of paraffin phase change materials for solar thermal energy storage and thermal management applications,” Energy, vol. 162, pp. 1169–1182, 2018. [Google Scholar] [Crossref]
14.
R. Senthil, P. Senguttuvan, and K. Thyagarajan, “Experimental study on a cascaded PCM storage receiver for parabolic dish collector,” Int. J. Mech. Eng. Technol., vol. 8, no. 11, pp. 910–917, 2017. [Google Scholar]
15.
R. Senthil, K. Thyagarajan, and P. Senguttuvan, “Experimental study of a parabolic dish concentrated cylindrical cavity receiver with PCM,” Int. J. Mech. Eng. Technol., vol. 8, no. 11, pp. 850–856, 2017. [Google Scholar]
16.
X. Yang and J. Liu, “A novel method for determining the melting point, fusion latent heat, specific heat capacity and thermal conductivity of phase change materials,” Int. J. Heat Mass Transf., vol. 127, pp. 457–468, 2018. [Google Scholar] [Crossref]
17.
N. Kumar, D. Banerjee, and R. Chavez, “Exploring additives for improving the reliability of zinc nitrate hexahydrate as a phase change material (PCM),” J. Energy Storage, vol. 20, pp. 153–162, 2018. [Google Scholar] [Crossref]
18.
X. Zhai, Z. Xu, W. Zhang, Q. Zhang, X. Yang, J. Qu, G. Liu, and B. Yu, “Phase change thermal energy storage: Materials and heat transfer enhancement methods,” J. Energy Storage, vol. 123, p. 116778, 2025. [Google Scholar] [Crossref]
19.
J. Li, X. Fan, Y. Li, Z. Wang, Z. Gao, W. Ji, L. Chen, and J. Wang, “A novel system of liquid air energy storage with LNG cold energy and industrial waste heat: Thermodynamic and economic analysis,” J. Energy Storage, vol. 86, p. 111359, 2024. [Google Scholar] [Crossref]
20.
K. Zhang, X. He, L. Wang, and Y. Yu, “Experimental study on the heat transfer characteristics of an inclined shell-and-tube phase-change thermal energy storage unit,” Front. Energy Res., vol. 10, p. 881970, 2022. [Google Scholar] [Crossref]
21.
M. Zhi, S. Yue, L. Zheng, B. Su, J. Fu, and Q. Sun, “Recent developments in solid-solid phase change materials for thermal energy storage applications,” J. Energy Storage, vol. 89, p. 111570, 2024. [Google Scholar] [Crossref]
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Open Access
Research article

Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems

Mahmood Abdul Hasan Jolan1,
Jasim Ibrahim Musa2,
Essa Ahmed Essa2,
Qusay Kamil Jasim3*,
Mustafa Hussein Bahaulddin3
1
Mechatronics Engineering Techniques Department, Al-Hawija Technical College, Northern Technical University, 36001 Kirkuk, Iraq
2
Power Mechanics Department, Northern Technical University, Hawija Institute, 36001 Kirkuk, Iraq
3
College of Oil & Gas Techniques Engineering, Northern Technical University, 36001 Kirkuk, Iraq
Power Engineering and Engineering Thermophysics
|
Volume 4, Issue 4, 2025
|
Pages 235-240
Received: 10-05-2025,
Revised: 12-15-2025,
Accepted: 12-25-2025,
Available online: 12-31-2025
View Full Article|Download PDF

Abstract:

An experimental investigation was conducted to evaluate the influence of geometric orientation on the thermal performance of a cylindrical phase change material energy storage system incorporating concentric heat transfer fluid tubes. Three configurations—vertical, inclined, and horizontal—were systematically examined to determine their effects on heat transfer characteristics, melting dynamics, and energy storage capacity. The phase change material was subjected to charging processes using heat transfer fluid inlet temperatures of 60℃, 70℃, and 80℃ at a constant mass flow rate of 1 kg/min, while discharging experiments were performed under identical flow conditions to ensure consistency. It was observed that the melting time was significantly reduced in the vertical configuration, exhibiting a decrease of 29.2% compared to the horizontal arrangement and 19.4% relative to the inclined configuration at an inlet temperature of 80℃. This enhancement was attributed to the intensification of natural convection within the molten phase change material region. Furthermore, at a charging duration of 140 minutes, the total thermal energy stored in the vertical configuration was found to be approximately 4.4%, 17.4%, and 19.4% higher than that of the horizontal configuration for heat transfer fluid inlet temperatures of 60℃, 70℃, and 80℃, respectively. The results demonstrate that the optimization of system orientation plays a critical role in enhancing both the charging rate and storage capacity of phase change material-based thermal energy storage systems. These findings provide valuable design insights for the development of high-efficiency latent heat storage units in renewable energy and thermal management applications.

Keywords: Phase change material, Heat transfer fluid, Thermal energy storage, Natural convection, Melting time, Discharge efficiency

1. Introduction

A thermal energy storage system is a device that collects, stores, and uses peak daytime energy. Phase change materials' latent heat capacity makes them useful for thermal energy storage. Thermal energy storage has been the subject of numerous investigations by researchers [1], [2], [3]. Additionally, many solar collectors have been researched to improve their thermal performance [4], [5]. In the field of thermal energy storage, paraffin wax is the most studied phase change substance [6], [7]. Phase change materials have also been investigated for use in high-temperature solar receivers to increase solar collector productivity [8], [9], [10], [11]. Additives and encapsulation techniques have been used by other researchers to improve energy storage efficiency [12], [13]. Senthil et al. [14] studied the melting behavior of the phase change material (RT-50) within a horizontal annular space formed between an isothermal inner tube and an insulating outer casing. The melting rate was affected by the inlet temperature, increasing proportionally with increasing inlet temperature.

Senthil et al. [15] conducted experiments and computed the behavior of the phase-change melting process within a horizontal annular container. The study focused on the effect of inlet temperature on both the melting process and the onset of natural convection. Increasing the temperature of the phase-change liquid causes it to move upwards, while a cold phase-change liquid moves downwards. The study involved numerical simulations of the charging and discharging processes in a rotating latent heat storage unit that contains a phase change material within the vertical and horizontal annular spaces between the casing and the tube. A lower rotational speed of the latent heat storage unit results in greater heat transfer and melting rate improvement compared to a higher rotational speed [16]. Previous studies have shown the need for more comprehensive experimental studies. Therefore, this study aims to conduct an experimental study that clearly demonstrates how container orientations (vertical/inclined/horizontal) affect the melting rate, energy storage, and temperature distribution with the use of phase change materials with enhanced conductivity (paraffin wax) and to identify the “most efficient” orientation not only in melting but also in the charging and discharging cycles.

2. Materials and Methods

The experimental setup consists of a cylindrical phase change material (heat storage container), a pump, a heater with temperature control, temperature gauges, flow valves, and a piping system. The schematic diagram of the test is shown in Figure 1. These heat transfer fluids are also made of copper and are 1000 mm long. The three orientations are examined in thermal energy storage systems with constant flow rates of 1 kg/min and constant temperatures of 60℃, 70℃, and 80℃. These factors are considered in the design and construction of the thermal energy storage system to achieve enhanced charging performance and improved energy storage efficiency. To hold the heat from hot water, paraffin wax is placed inside a copper cylindrical container. The phase change material container has a concentrically fitting copper tube. Valves are used to regulate water flow. The phase change material container is kept at a nearly constant temperature by the use of a 10-kW electric heater with thermostat temperature control. A rotameter is used to determine the flow rate. Three K-type thermocouples installed along the shell's length are measured and recorded. Table 1 shows the physical properties of the phase change material and the container dimensions.

Figure 1. A: Schematic diagram of the experimental setup; B: photograph of the phase change material annular cavity heat exchanger
Note: PCM = phase change material; HTF = Heat transfer fluid.
Table 1. Dimensions and physical property [17], [18], [19]

Thermal Storage Unit

Dimensions (mm)

Diameter tube

75

Thickness

2.5

Length

1000

Heat Transfer Fluid Tube

Dimensions (mm)

Diameter tube

25

Thickness

1

Length

700

Phase Change Material (Paraffin Wax, RT-42)

Physical Property

Heat storage capacity

165 kJ/kg

Thermal conductivity

0.2 W/m$\cdot$K

Density (solid)

880 kg/m$^{3}$

3. Data Reduction

Water flows through a copper tube to complete the discharge process. The heat is recovered and transferred to the cold water passing via the copper tube and phase change material. Following the charging process, the phase change material storage unit is subjected to three cooling tests under ambient settings. The duration of heat storage is determined by monitoring the phase change material temperature while the insulated phase change material container is kept at room temperature and allowed to cool momentarily. Eq. (1) uses the specific heat of water and the temperature differential between the heat transfer fluid’s inlet and output temperatures to determine how much heat is transmitted by the hot water.

The amount of heat (W) produced by the water is calculated, as shown in Eq. (1) [20].

$Q_{\text {input water}}=\dot{m} C_\mathrm{p}\left(T_{\mathrm{in}}-T_{\mathrm{out}}\right)$
(1)

where, m and Cp are the mass flow rate (kg/s) and the specific heat of the heat transfer fluid (kJ/kg·K).

The heat generated by the phase change material during the time interval $\Delta t$ is calculated, as shown in Eq. (2) [20].

$Q_{\text {input} \mathrm{PCM}}=\sum \dot{m} C_\mathrm{p}\left(T_{\text {in }}-T_{\text {out }}\right) \cdot \Delta t$
(2)

Eq. (3) describes the sensible heat of the solid and liquid, as well as the latent heat, in the total stored heat energy [21].

$Q_{\text {storage}}=m\left[\int_{T_i}^{T_\mathrm{m}} m \cdot C_\text{p,liquid} \cdot \mathrm{d} T+m \cdot \Delta h_\mathrm{m}+\int_{T_\mathrm{m}}^{T_\mathrm{f}} m \cdot C_\text{p,liquid} \cdot \mathrm{d} T\right]$
(3)

where, Ti and Tm are the initial and melting temperatures, respectively, and m and Cp are the mass and specific heat of the storage material.

4. Uncertainty Analysis

Uncertainty analysis was used to confirm experimental values and identify potential sources of error in data measurement tools. Using measured data such as temperature, mass flow rate, and thermophysical characteristics, the convective heat transfer was calculated. The calculated uncertainties are presented in Table 2.

Table 2. Error analysis [20], [21]

Parameters

Uncertainties (%)

Temperature

$\pm$0.2

Mass flow rate

$\pm$0.5

Rate of heat transfer (Q)

$\pm$0.35

5. Results and Discussion

Figure 2 illustrates the liquid fraction (the ratio of melted phase change material to the total amount) as a function of time (in minutes) for three different heat transfer fluid temperatures (60℃, 70℃, and 80℃). Increasing the heat transfer fluid temperature roughly halves the total melting time (from 260 to 130 minutes). This demonstrates that the melting process in this specific vertical heat exchanger is highly sensitive to the temperature of the heat source. A vertical orientation in a cylinder leads to faster melting of a phase change material compared to a horizontal orientation, primarily due to the mechanism of natural convection. As the material begins to melt, the hot (less dense) liquid rises to the top, while the cold liquid sinks to the bottom. In a vertical orientation, the material has a longer path of movement along the wall of the heated cylinder.

Figure 2. Variation of liquid fraction of the phase change material with time at different heat transfer water temperatures ($T_\mathrm{w}$)

Figure 3 illustrates the relationship between energy stored (kJ) and time (min) for three different heat source temperatures (60℃, 70℃, and 80℃). Increasing the water temperature significantly reduces the time required to charge the phase change material system. In terms of efficiency, 80℃ is the most effective operating temperature. The vertical position in the cylinder enhances heat transfer, and this continuous vertical movement of the fluid effectively “scrapes” heat from the wall and transfers it to the remaining solid part. In short, the vertical position creates stronger and more efficient convection currents covering a larger surface area of the solid.

Figure 3. Variation of energy stored in the phase change material with time at different heat transfer water temperatures ($T_\mathrm{w}$)

The bar chart (Figure 4) compares the heat energy stored in a phase change material unit versus the heat retrieved by water for three different container orientations: horizontal, inclined, and vertical. In the vertical position, the hot fluid accumulates at the top and comes into contact with a larger area of the solid, accelerating the melting of the entire upper portion. The melt then flows downwards. In contrast, in the horizontal position, the fluid may concentrate at the top, leaving the lower part of the steel thermally insulated by the stagnant fluid layer.

Figure 4. Energy stored in phase change material and heat gain of heat transfer fluid at room temperature at 1 kg/min
Note: PCM = phase change material.

Figure 5 displays the melting time of a phase change material as a function of the heat transfer fluid inlet temperature for three different orientations: horizontal, inclined, and vertical. To achieve the fastest charging (melting) of this specific thermal energy storage system, a vertical orientation combined with a higher heat transfer fluid inlet temperature is the most effective configuration.

Figure 5. Melting time of a 1 kg phase change material under varying inlet temperatures (60℃, 70℃ and 80℃) and container orientations
Note: HTF = heat transfer fluid.

6. Conclusion

For both heat exchanger orientations, raising the water's inlet temperature shortened the melting time. For a horizontal heat exchanger, it decreased by roughly 27.5% and 46.3% when the inflow water temperature was raised (60℃ to 70℃ and 70℃ to 80℃), respectively. Melting periods were shortened by 32.6% and 50.2% for vertical heat exchangers, respectively, for the same temperature rise. Compared to the horizontal heat exchanger, the vertical heat exchanger achieved a higher phase-change material melting rate. Additionally, at inlet water temperatures of 60℃, 70℃, and 80℃, the vertical heat exchanger required 28.7%, 30.4%, and 31.2% less time for the melting process than the horizontal heat exchanger. For water temperatures of 60℃, 70℃, and 80℃, respectively, with a duration of 140 minutes, the total energy stored by the phase change material during the melting process in the vertical heat exchanger was approximately 4.4%, 17.4%, and 19.4% greater than that achieved in the horizontal orientation of the heat exchanger. Therefore, vertical phase change material containers are better than horizontal ones.

Data Availability

The data used to support the research findings are available from the corresponding author upon request.

Conflicts of Interest

The authors declare no conflicts of interest.

References
1.
Z. A. Qureshi, H. M. Ali, and S. Khushnood, “Recent advances on thermal conductivity enhancement of phase change materials for energy storage system: A review,” Int. J. Heat Mass Transf., vol. 127, pp. 838–856, 2018. [Google Scholar] [Crossref]
2.
S. Abishek, A. J. C. King, N. Nadim, and B. J. Mullins, “Effect of microstructure on melting in metal-foam/paraffin composite phase change materials,” Int. J. Heat Mass Transf., vol. 127, pp. 135–144, 2018. [Google Scholar] [Crossref]
3.
Q. Sun, H. Zhang, J. Xue, X. Yu, Y. Yuan, and X. Cao, “Flexible phase change materials for thermal storage and temperature control,” Chem. Eng. J., vol. 353, pp. 920–929, 2018. [Google Scholar] [Crossref]
4.
R. Senthil, M. Gupta, and C. Rath, “Parametric analysis of a concentrated solar receiver with Scheffler reflector,” Int. J. Mech. Prod. Eng. Res. Dev., vol. 7, no. 5, pp. 261–268, 2017. [Google Scholar]
5.
M. K. Yeşilyurt, H. Nadaroğlu, and Ö. Çomaklı, “Phase change materials and selection thereof for heat transfer applications,” Int. J. Innov. Res. Rev., vol. 3, no. 2, pp. 16–22, 2019. [Google Scholar]
6.
M. K. Yeşilyurt and Ö. Çomakli, “Encapsulated phase change material slurries as working fluid in novel photovoltaic thermal liquid systems: A comprehensive review,” Iran. J. Sci. Technol. Trans. Mech. Eng., vol. 47, no. 4, pp. 1275–1305, 2023. [Google Scholar] [Crossref]
7.
V. V. Tyagi and D. Buddhi, “PCM thermal storage in buildings: A state of art,” Renew. Sustain. Energy Rev., vol. 11, no. 6, pp. 1146–1166, 2007. [Google Scholar] [Crossref]
8.
K. K. Pillai and B. J. Brinkworth, “The storage of low-grade thermal energy using phase change materials,” Appl. Energy, vol. 2, no. 3, pp. 205–216, 1976. [Google Scholar] [Crossref]
9.
P. Verma and S. Singal, “Review of mathematical modeling on latent heat thermal energy storage systems using phase-change material,” Renew. Sustain. Energy Rev., vol. 12, no. 4, pp. 999–1031, 2008. [Google Scholar] [Crossref]
10.
M. Kenısarın and K. Mahkamov, “Solar energy storage using phase change materials,” Renew. Sustain. Energy Rev., vol. 11, no. 9, pp. 1913–1965, 2007. [Google Scholar] [Crossref]
11.
F. He, J. Zou, X. Meng, W. Gao, and L. Ai, “Effect of copper foam fin (CFF) shapes on thermal performance improvement of the latent heat storage units,” J. Energy Storage, vol. 45, p. 103520, 2022. [Google Scholar] [Crossref]
12.
A. Acır and M. Emin Canlı, “Investigation of fin application effects on melting time in a latent thermal energy storage system with phase change material (PCM),” Appl. Therm. Eng., vol. 144, pp. 1071–1080, 2018. [Google Scholar] [Crossref]
13.
S. Kahwaji, M. B. Johnson, A. C. Kheirabadi, D. Groulx, and M. A. White, “A comprehensive study of properties of paraffin phase change materials for solar thermal energy storage and thermal management applications,” Energy, vol. 162, pp. 1169–1182, 2018. [Google Scholar] [Crossref]
14.
R. Senthil, P. Senguttuvan, and K. Thyagarajan, “Experimental study on a cascaded PCM storage receiver for parabolic dish collector,” Int. J. Mech. Eng. Technol., vol. 8, no. 11, pp. 910–917, 2017. [Google Scholar]
15.
R. Senthil, K. Thyagarajan, and P. Senguttuvan, “Experimental study of a parabolic dish concentrated cylindrical cavity receiver with PCM,” Int. J. Mech. Eng. Technol., vol. 8, no. 11, pp. 850–856, 2017. [Google Scholar]
16.
X. Yang and J. Liu, “A novel method for determining the melting point, fusion latent heat, specific heat capacity and thermal conductivity of phase change materials,” Int. J. Heat Mass Transf., vol. 127, pp. 457–468, 2018. [Google Scholar] [Crossref]
17.
N. Kumar, D. Banerjee, and R. Chavez, “Exploring additives for improving the reliability of zinc nitrate hexahydrate as a phase change material (PCM),” J. Energy Storage, vol. 20, pp. 153–162, 2018. [Google Scholar] [Crossref]
18.
X. Zhai, Z. Xu, W. Zhang, Q. Zhang, X. Yang, J. Qu, G. Liu, and B. Yu, “Phase change thermal energy storage: Materials and heat transfer enhancement methods,” J. Energy Storage, vol. 123, p. 116778, 2025. [Google Scholar] [Crossref]
19.
J. Li, X. Fan, Y. Li, Z. Wang, Z. Gao, W. Ji, L. Chen, and J. Wang, “A novel system of liquid air energy storage with LNG cold energy and industrial waste heat: Thermodynamic and economic analysis,” J. Energy Storage, vol. 86, p. 111359, 2024. [Google Scholar] [Crossref]
20.
K. Zhang, X. He, L. Wang, and Y. Yu, “Experimental study on the heat transfer characteristics of an inclined shell-and-tube phase-change thermal energy storage unit,” Front. Energy Res., vol. 10, p. 881970, 2022. [Google Scholar] [Crossref]
21.
M. Zhi, S. Yue, L. Zheng, B. Su, J. Fu, and Q. Sun, “Recent developments in solid-solid phase change materials for thermal energy storage applications,” J. Energy Storage, vol. 89, p. 111570, 2024. [Google Scholar] [Crossref]

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Jolan, M. A. H., Musa, J. I., Essa, E. A., Jasim, Q. K., & Bahaulddin, M. H. (2025). Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems. Power Eng. Eng Thermophys., 4(4), 235-240. https://doi.org/10.56578/peet040403
M. A. H. Jolan, J. I. Musa, E. A. Essa, Q. K. Jasim, and M. H. Bahaulddin, "Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems," Power Eng. Eng Thermophys., vol. 4, no. 4, pp. 235-240, 2025. https://doi.org/10.56578/peet040403
@research-article{Jolan2025EnhancingTE,
title={Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems},
author={Mahmood Abdul Hasan Jolan and Jasim Ibrahim Musa and Essa Ahmed Essa and Qusay Kamil Jasim and Mustafa Hussein Bahaulddin},
journal={Power Engineering and Engineering Thermophysics},
year={2025},
page={235-240},
doi={https://doi.org/10.56578/peet040403}
}
Mahmood Abdul Hasan Jolan, et al. "Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems." Power Engineering and Engineering Thermophysics, v 4, pp 235-240. doi: https://doi.org/10.56578/peet040403
Mahmood Abdul Hasan Jolan, Jasim Ibrahim Musa, Essa Ahmed Essa, Qusay Kamil Jasim and Mustafa Hussein Bahaulddin. "Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems." Power Engineering and Engineering Thermophysics, 4, (2025): 235-240. doi: https://doi.org/10.56578/peet040403
JOLAN M A H, MUSA J I, ESSA E A, et al. Enhancing Thermal Energy Storage Performance via Orientation Optimization of Cylindrical Phase Change Material Systems[J]. Power Engineering and Engineering Thermophysics, 2025, 4(4): 235-240. https://doi.org/10.56578/peet040403
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©2025 by the author(s). Published by Acadlore Publishing Services Limited, Hong Kong. This article is available for free download and can be reused and cited, provided that the original published version is credited, under the CC BY 4.0 license.