A SYSTEMATIC REVIEW OF BESSEL FUNCTION-BASED HEAT TRANSFER MODELING IN SEMI-CYLINDRICAL THERMAL ENERGY STORAGE AND THERMOELECTRIC GENERATORS
DOI:
https://doi.org/10.22437/jop.v11i2.51132Keywords:
thermoelectric generator; Bessel function; computational method; thermal energy optimization; heat transfer; semi-cylindrical system; systematic literature review.Abstract
Heat transfer modeling in semi-cylindrical systems is crucial in the development of thermal energy storage (TES) and thermoelectric generator (TEG) technologies. This study aims to analyze the integration of Bessel functions and computational methods in thermal conduction modeling, as well as evaluate their effectiveness for thermal system optimization. The method used is Systematic Literature Review (SLR) with literature searches in ScienceDirect, MDPI, SpringerLink, arXiv, and DOAJ (2020–2025), followed by selection based on inclusion-exclusion criteria and thematic synthesis of 21 selected articles. The results show that Fourier–Bessel series-based semi-analytical solutions are capable of representing radial temperature distributions even under asymmetric boundary conditions, while hybrid approaches combining Bessel functions with the Finite Element Method (FEM) or Computational Heat Transfer (CHT) improve prediction accuracy and computational efficiency. Key challenges include sensitivity to material parameters, numerical instability, and high computational costs for nonlinear geometries. Practically, this approach can be utilized by renewable energy researchers and engineers to design semi-cylindrical TES and TEG systems with more uniform temperature distribution, higher storage capacity, and optimal thermoelectric conversion efficiency.
Downloads
References
Alfaris, L., Siagian, R. C., Alfaris, L., Siagian, R. C., Muhammad, A. C., & Indra, U. (2023). Journal of Mechanical Engineering Science and Technology ( JMEST ) Heat Conduction in Cylindrical Coordinates with Time-Varying Conduction Coefficients : A Practical Engineering Approach Heat Conduction in Cylindrical Coordinates with Time-Varying Conduction. 7(2). https://doi.org/10.17977/um016v7i22023p157
Approximant, P. (2021). SS symmetry Analysis of Transient Thermal Distribution in a Convective – Radiative Moving Rod Using Two-Dimensional Differential Transform Method with Multivariate Pade Approximant. https://doi.org/10.3390/sym13101793
Ar, P., & Ochoa-correa, D. (2024). Advances in Thermal Energy Storage Systems for Renewable Energy : A Review of Recent Developments. 1–29. https://doi.org/10.3390/pr12091844
Cieśliński, J. T., & Fabrykiewicz, M. (2023). Thermal energy storage with PCMs in shell-and-tube units: a review. Energies, 16(2), 936. https://doi.org/10.3390/en16020936
Cylinder, F. A. H., & Najibi, A. (2023). SS symmetry Two-Dimensional C-V Heat Conduction Investigation of an. https://doi.org/10.3390/sym15051009
Ecsedi, I., Lengyel, Á. J., & Mc, R. (2021). Analytical solutions of heat conduction problems for anisotropic solid two dimensional heat conduction. 16, 127–136. https://doi.org/10.37394/232012.2021.16.15
Eroğlu, B. B. İ. (2023). Two-dimensional Cattaneo-Hristov heat diffusion in the half-plane. Mathematical Modelling and Numerical Simulation with Applications, 3(3),281-296. https://doi.org/10.53391/mmnsa.1340302
Iskender, B. B. (2023). Two-dimensional Cattaneo-Hristov heat diffusion in the. 3(3),281–296. https://doi.org/10.53391/mmnsa.1340302
Jalghaf, H. K., Kov, E., & Barna, I. F. (2023). Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies. https://doi.org/10.3390/computation11070131
Jayaprakash, M. C., Alzahrani, H. A. H., Sowmya, G., Kumar, R. S. V., Malik, Y., Alsaiari, A., & Prasannakumara, B. C. (2021). Case Studies in Thermal Engineering Thermal distribution through a moving longitudinal trapezoidal fin with variable temperature-dependent thermal properties using DTM-Pade approximant. Case Studies in Thermal Engineering, 28(September), 101697. https://doi.org/10.1016/j.csite.2021.101697
Kang, Z., Zhou, W., Qiu, K., Wang, C., Qin, Z., Zhang, B., & Yao, Q. (2023). Numerical Simulation of an Indirect Contact Mobilized Thermal Energy Storage Container with Different Tube Bundle Layout and Fin Structure. https://doi.org/10.3390/su15065511
Klimpel, A. (2024). Review and Analysis of Modern Laser Beam Welding Processes. https://doi.org/10.3390/ma17184657
Nikchi, M., Hamza, H., Zniber, K., Lahjomri, J., & Oubarra, A. (2021). Analytical Solution of Steady State Heat Transfer In Two Orthotropic Cylinders. 8. https://doi.org/10.11159/jffhmt.2021.026
Pietschak, A., Dixon, A. G., & Freund, H. (2020). A new heat transfer correlation suited for the design of fixed-bed reactors via numerical optimization. Chemical Engineering Science, 220, 115614. https://doi.org/10.1016/j.ces.2020.115614
Quan, R., Li, T., Yue, Y., Chang, Y., & Tan, B. (2020). Experimental Study on a Thermoelectric Generator for Industrial Waste Heat Recovery Based on a. https://doi.org/10.3390/en13123137
Ramos-castañeda, C. F., Olivares-robles, M. A., Olivares-hernandez, A. E., & Hernandez-gonzalez, L. (2023). Performance of a Nanofluid-Cooled Segmented Thermoelectric Generator : Hollow / Filled Leg Structures and Segmentation Effects. https://doi.org/10.3390/pr11061728
Sadeghi, H., Jalali, R., & Singh, R. M. (2024). A review of borehole thermal energy storage and its integration into district heating systems. Renewable and Sustainable Energy Reviews, 192(March 2023),114236. https://doi.org/10.1016/j.rser.2023.114236
Selimefendigil, F., Omri, M., Aich, W., Besbes, H., Khedher, N. Ben, Alshammari, B. M., & Kolsi, L. (2023). Numerical Study of Thermo-Electric Conversion for TEG Mounted Wavy Walled Triangular Vented Cavity Considering Nanofluid with Different-Shaped Nanoparticles. https://doi.org/10.3390/math11020483
Soil, S. (2022). Characteristics and Prediction of the Thermal Diffusivity of Sandy Soil. 1–14. https://doi.org/10.3390/en15041524
Tabaie, Z., & Omidvar, A. (2023). Heliyon Human body heat-driven thermoelectric generators as a sustainable power supply for wearable electronic devices : Recent advances , challenges , and future perspectives. Heliyon, 9(4), e14707. https://doi.org/10.1016/j.heliyon.2023.e14707
Tu, T., & Lee, S. (2015). Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient. 2015. https://doi.org/10.1155/2015/203404
Villar-ramos, M. M., Hernández-pérez, I., Aguilar-castro, K. M., Zavala-guillén, I., Macias-melo, E. V, Hernández-lópez, I., & Serrano-arellano, J. (2022). A Review of Thermally Activated Building Systems ( TABS ) as an Alternative for Improving the Indoor Environment of Buildings. https://doi.org/10.3390/en15176179
Yamamoto, R., Yokohata, H., Sumi, S., & Ogata, Y. (2021). Pulsating Flow in Straight and 90 ◦ Curved Square Pipes. https://doi.org/10.3390/en14133953
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Fatmawati Fatmawati, Hamdi Akhsan, Suci Husnul Hayati, Muhammad Ikhsan Aljuzza, Nely Andriani, Wardah Amalia
This work is licensed under a Creative Commons Attribution 4.0 International License.
