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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Fractional thermodynamic model for surface temperature patterns of brass

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pp. 2393–2403Vol. 29Issue 8August 2026DOI: 10.47974/JIM-2624XML
Received:
01 Feb 2026
Published Online:
25 Aug 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2624
Pages:
2393–2403

Abstract

This study investigates thermal distribution and heat flux behaviour in a CuPuZn brass alloy using a fractional-order heat conduction model. The analysis extends to one-, two-, and three-dimensional brass slabs to examine temperature distribution and thermal response. The proposed framework provides predictive insights for improving thermal management and mechanical performance in metallurgical applications.

Keywords

Subject Classifications

70E1880A1980A2380M5026A33

References

[1] M. Klosak, T. Jankowiak, A. Rusinek, A. Bendarma, P. W. Sielicki, and T. Lodygowski, “Mechanical properties of brass under impact and perforation tests for a wide range of temperatures: Experimental and numerical approach,” Materials, vol. 13, no. 24, Art. no. 5821 (2020), doi: 10.3390/ma13245821.

[2] P. Puspitasari, A. Permanasari, A. Andoko, and B. Pratama, “Properties of brass under different pouring temperatures in sand casting process,” J. Mech. Eng. Sci. Technol., vol. 1, no. 2, pp. 95-99 (2017), doi: 10.17977/um016v1i22017p095.

[3] M. I. Abbas, “Effects of temperature on dezincification and electrochemical behaviour of 70-30 brass in sulphuric acid,” Brit. Corros. J., vol. 26, no. 4, pp. 273-278 (1991), doi: 10.1179/000705991798269017.

[4] A. Choudhary, D. Kumar, and J. Singh, “Numerical simulation of a fractional model of temperature distribution and heat flux in the semi infinite solid,” Alexandria Eng. J., vol. 55, no. 1, pp. 87-91 (2016), doi: 10.1016/j.aej.2016.01.007.

[5] H. Khan, R. Shah, P. Kumam, and M. Arif, “Analytical solutions of fractional-order heat and wave equations by the natural transform decomposition method,” Entropy, vol. 21, no. 6, Art. no. 597 (2019), doi: 10.3390/e21060597.

[6] M. D. Johansyah, A. K. Supriatna, E. Rusyaman, and J. Saputra, “Solving differential equations of fractional order using combined Adomian decomposition method with Kamal integral transformation,” Math. Stat., vol. 10, no. 1, pp. 187-194 (2022), doi: 10.13189/ms.2022.100117.

[7] P. Khobragade, G. Gandal, A. Somatkar, H. M. Panchabudhe, A. P. Phatangare, and B. Madaminov, “Heat transfer modeling using fractional differential equations,” J. Interdiscip. Math., vol. 29, no. 3, pp. 749-756 (2026), doi: 10.47974/JIM-2511.

[8] L. D’Costa and N. Menaria, “Fractional calculus of extended k-generalized Mittag-Leffler function and its properties,” J. Interdiscip. Math., vol. 27, no. 8, pp. 1741-1748 (2024), doi: 10.47974/JIM-2036.

[9] X. Gu, S. Li, and H. Bao, “Thermal conductivity of silicon at elevated temperature: Role of four-phonon scattering and electronic heat conduction,” Int. J. Heat Mass Transf., vol. 160, Art. no. 120165 (2020), doi: 10.1016/j.ijheatmasstransfer.2020.120165.

[10] J. Lin and C. S. Liu, “Recovering temperature-dependent heat conductivity in 2D and 3D domains with homogenization functions as the bases,” Eng. Comput., vol. 38, no. S3, pp. 2349-2363 (2022), doi: 10.1007/s00366-021-01384-w.

[11] A. Rojas-Rodríguez, A. Lara-Guevara, M. Salazar-Sicacha, J. C. Mosquera-Mosquera, M. Robles-Agudo, C. Ramirez-Gutierrez, and M. Rodríguez-García, “The influence of the precipitation heat treatment temperature on the metallurgical, microstructure, thermal properties, and microhardness of an alpha brass,” Mater. Sci. Appl., vol. 9, no. 4, pp. 440–454 (2018), doi: 10.4236/msa.2018.94030.

[12] N. Verma and A. K. Menaria, “Fractional order distribution on heat flux for crystalline concrete material,” Int. J. Math. Comput. Res., vol. 11, no. 2, pp. 3268-3272 (2023), doi: 10.47191/ijmcr/v11i2.08.

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