Semi-analytical investigation of heat transfer in a porous convective radiative moving longitudinal fln exposed to magnetic fleld in the presence of a shape-dependent trihybrid nanofluid

doi:10.1007/s10483-024-3069-6

Abstract

Abstract:

The thermal examination of a non-integer-ordered mobile fin with a magnetism in the presence of a trihybrid nanofluid (Fe₃O₄-Au-Zn-blood) is carried out. Three types of nanoparticles, each having a different shape, are considered. These shapes include spherical (Fe₃O₄), cylindrical (Au), and platelet (Zn) configurations. The combination approach is utilized to evaluate the physical and thermal characteristics of the trihybrid and hybrid nanofluids, excluding the thermal conductivity and dynamic viscosity. These two properties are inferred by means of the interpolation method based on the volume fraction of nanoparticles. The governing equation is transformed into a dimensionless form, and the Adomian decomposition Sumudu transform method (ADSTM) is adopted to solve the conundrum of a moving fin immersed in a trihybrid nanofluid. The obtained results agree well with those numerical simulation results, indicating that this research is reliable. The influence of diverse factors on the thermal overview for varying noninteger values of γ is analyzed and presented in graphical representations. Furthermore, the fluctuations in the heat transfer concerning the pertinent parameters are studied. The results show that the heat flux in the presence of the combination of spherical, cylindrical, and platelet nanoparticles is higher than that in the presence of the combination of only spherical and cylindrical nanoparticles. The temperature at the fin tip increases by 0.705 759% when the value of the Peclet number increases by 400%, while decreases by 11.825 13% when the value of the Hartman number increases by 400%.

Key words: convection, radiation, moving longitudinal fin, Adomian decomposition Sumudu transform method (ADSTM), trihybrid nanofluid, magnetic field

2010 MSC Number:

C. G. PAVITHRA, B. J. GIREESHA, M. L. KEERTHI. Semi-analytical investigation of heat transfer in a porous convective radiative moving longitudinal fln exposed to magnetic fleld in the presence of a shape-dependent trihybrid nanofluid. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 197-216.

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References 28

1	KRAUS, A. D., AZIZ, A., WELTY, J., and SEKULIC, D. P. Extended surface heat transfer. Applied Mechanics Reviews, 54 (5), B92 (2001)
2	GORLA, R. S. R., and BAKIER, A. Y. Thermal analysis of natural convection and radiation in porous fins. International Communications in Heat and Mass Transfer, 38 (5), 638- 645 (2011)
3	AZIZ, A., and TORABI, M. Convective-radiative fins with simultaneous variation of thermal conductivity, heat transfer coefficient, and surface emissivity with temperature. Heat Transfer Asian Research, 41 (2), 99- 113 (2012)
4	KUNDU, B., DAS, R., WANKHADE, P. A., and LEE, K. S. Heat transfer improvement of a wet fin under transient response with a unique design arrangement aspect. International Journal of Heat and Mass Transfer, 127, 1239- 1251 (2018)
5	WANG, F. Z., VARUN-KUMAR, R. S., SOWMYA, G., EL-ZAHAR, E. R., PRASANNAKUMARA, B. C., IJAZ-KHAN, M., KHAN, S. U., MALIK, M. Y., and XIA, W. F. LSM and DTM-Páde approximation for the combined impacts of convective and radiative heat transfer on an inclined porous longitudinal fin. Case Studies in Thermal Engineering, 35, 101846 (2022)
6	KIWAN,S., and AL-NIMR, M. A. Using porous fins for heat transfer enhancement. Journal of Heat Transfer, 123 (4), 790- 795 (2001)
7	KIWAN, S. Effect of radiative losses on the heat transfer from porous fins. International Journal of Thermal Sciences, 46 (10), 1046- 1055 (2007)
8	DAS, R., SINGH, K., AKAY, B., and GOGOI, T. K. Application of artificial bee colony algorithm for maximizing heat transfer in a perforated fin. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 232 (1), 38- 48 (2018)
9	NABATI, M., JALALVAND, M., and TAHERIFAR, S. Sinc collocation approach through thermal analysis of porous fin with magnetic field. Journal of Thermal Analysis and Calorimetry, 144 (6), 2145- 2158 (2021)
10	PRASANNAKUMARA, B. C. Assessment of the local thermal non-equilibrium condition for nanofluid flow through porous media: a comparative analysis. Indian Journal of Physics, 96 (8), 2475- 2483 (2022)
11	HOSHYAR, H. A., GANJI, D. D., and MAJIDIAN, A. R. Least square method for porous fin in the presence of uniform magnetic field. Journal of Applied Fluid Mechanics, 9 (2), 661- 668 (2016)
12	OGUNTALA, G., SOBAMOWO, G., ABD-ALHAMEED, R., and JONES, S. Efficient iterative method for investigation of convective-radiative porous fin with internal heat generation under a uniform magnetic field. International Journal of Applied and Computational Mathematics, 5 (1), 1- 19 (2019)
13	DAS, R., and KUNDU, B. Simultaneous estimation of heat generation and magnetic field in a radial porous fin from surface temperature information. International Communications in Heat and Mass Transfer, 127, 105497 (2021)
14	GIREESHA, B. J., SOWMYA, G., and SRIKANTHA, N. Heat transfer in a radial porous fin in the presence of magnetic field: a numerical study. International Journal of Ambient Energy, 43 (1), 3402- 3409 (2022)
15	AZIZ, A., and KHANI, F. Convection-radiation from a continuously moving fin of variable thermal conductivity. Journal of the Franklin Institute, 348 (4), 640- 651 (2011)
16	BHANJA, D., KUNDU, B., and AZIZ, A. Enhancement of heat transfer from a continuously moving porous fin exposed in convective-radiative environment. Energy Conversion and Management, 88, 842- 853 (2014)
17	TURKYILMAZOGLU, M. Heat transfer from moving exponential fins exposed to heat generation. International Journal of Heat and Mass Transfer, 116, 346- 351 (2018)
18	PAVITHRA, C. G., GIREESHA, B. J., and KEERTHI, M. L. Heat transfer analysis of a convective radiative porous moving longitudinal fin exposed to magnetic field by adomian decomposition Sumudu transform method. Physica Scripta, 98 (4), 045208 (2023)
19	JAGADEESHA, K. C., KUMAR, R. V., ELATTAR, S., KUMAR, R., PRASANNAKUMARA, B. C., KHAN, M. I., and MALIK, M. Y. A physical depiction of a semi-spherical fin unsteady heat transfer and thermal analysis of a fully wetted convective-radiative semi-spherical fin. Journal of the Indian Chemical Society, 99 (9), 100457 (2022)
20	MILLER, K. S., and ROSS, B. An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York (1993)
21	ADOMIAN, G. Solving Frontier Problems of Physics, Springer Science & Business Media, New York (2013)
22	WATUGALA, G. Sumudu transform: a new integral transform to solve differential equations and control engineering problems. Integrated Education, 24 (1), 35- 43 (1993)
23	PATEL, T., and MEHER, R. A study on temperature distribution, efficiency and effectiveness of longitudinal porous fins by using adomian decomposition Sumudu transform method. Procedia Engineering, 127, 751- 758 (2015)
24	PATEL, T., and MEHER, R. Adomian decomposition Sumudu transform method for solving a solid and porous fin with temperature dependent internal heat generation. Springer Plus, 5 (1), 1- 18 (2016)
25	KEERTHI, M. L., GIREESHA, B. J., and SOWMYA, G. Numerical investigation of efficiency of fully wet porous convective-radiative moving radial fin in the presence of shape-dependent hybrid nanofluid. International Communications in Heat and Mass Transfer, 138, 106341 (2022)
26	GOUD, J. S., SRILATHA, P., KUMAR, R. V., KUMAR, K. T., KHAN, U., RAIZAH, Z., and GALAL, A. M. Role of ternary hybrid nanofluid in the thermal distribution of a dovetail fin with the internal generation of heat. Case Studies in Thermal Engineering, 35, 102113 (2022)
27	ABDULRAHMAN, A., GAMAOUN, F., KUMAR, R. V., KHAN, U., GILL, H. S., NAGARAJA, K. V., and GALAL, A. M. Study of thermal variation in a longitudinal exponential porous fin wetted with TiO₂-SiO₂/hexanol hybrid nanofluid using hybrid residual power series method. Case Studies in Thermal Engineering, 43, 102777 (2023)
28	ARIF, M., DI PERSIO, L., KUMAM, P., WATTHAYU, W., and AKGÜL, A. Heat transfer analysis of fractional model of couple stress Casson tri-hybrid nanofluid using dissimilar shape nanoparticles in blood with biomedical applications. Scientific Reports, 13 (1), 4596 (2023)

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