Thermal Performance Analysis of Trihybrid Nanofluid Model for Advanced Thermal Management Applications

Saqib Murtaza; Zubair Ahmad; Naveed Khan; Razi Khan

doi:10.31181/sems31202547m

Authors

Saqib Murtaza Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand Author https://orcid.org/0000-0003-3085-5053
Zubair Ahmad Dipartimento di Matematica e Fisica, Universit‘a degli Studi della Campania “Luigi Vanvitelli”, Caserta, 81100, Italy Author https://orcid.org/0000-0002-3488-4233
Naveed Khan Dipartimento di Matematica e Fisica, Universit‘a degli Studi della Campania “Luigi Vanvitelli”, Caserta, 81100, Italy Author https://orcid.org/0000-0001-9737-0187
Razi Khan Department of Mathematics and CEMAT Instituto Superior Tecnico, Av. Rovisco Pias 1049-001 Lisboa, Portugal Author https://orcid.org/0000-0002-1238-2187

DOI:

https://doi.org/10.31181/sems31202547m

Keywords:

Trihybrid Nanofluid, Heat and Mass Transfer, Fractal-Fractional Derivative, Integral Transform Technique, Distilled Water Application, Engineering Domain

Abstract

Trihybrid nanofluids, which is a combination of three different types of nanoparticles dispersed in a base fluid, let to the recent advances among the advanced thermal transport media because of their excellent heat transfer behaviour as well as an improvement in the thermophysical properties. These fluids are very promising for engineering applications where effective thermal management is needed, such as in microelectronics cooling, renewable energy systems and biomedical devices. In the present work, an analysis is performed with respect to the unsteady flow and heat transfer of trihybrid nanofluid including the mixture of Al₂O₃-TiO₂-ZnO nanoparticles suspended in distilled water. A fractal-fractional model is developed to describe the viscous flow in complex time and space. The Laplace transform method is applied to give the exact solution of the model subjected to suitable initial and boundary conditions. The effects of the key parameters, namely the volume fraction, fractional and fractal order, thermal radiation and Schmidt number on the velocity, temperature and concentration profile are investigated in detail. The additions of three nanoparticles together greatly improves the thermal behaviour of the fluid. These results offer useful information for thermal system optimization in a range of technical and industrial applications where accurate heat control is essential.

References

Cox, R. G., & Mason, S. G. (1971). Suspended particles in fluid flow through tubes. Annual Review of Fluid Mechanics, 3(1), 291-316. https://doi.org/10.1146/annurev.fl.03.010171.001451.

Kahnert, M. (2016). Numerical solutions of the macroscopic Maxwell equations for scattering by non-spherical particles: a tutorial review. Journal of Quantitative Spectroscopy and Radiative Transfer, 178, 22-37. https://doi.org/10.1016/j.jqsrt.2015.10.029.

Wang, X. Q., & Mujumdar, A. S. (2007). Heat transfer characteristics of nanofluids: a review. International Journal of Thermal Sciences, 46(1), 1-19. https://doi.org/10.1016/j.ijthermalsci.2006.06.010.

Wen, D., Lin, G., Vafaei, S., & Zhang, K. (2009). Review of nanofluids for heat transfer applications. Particuology, 7(2), 141-150. https://doi.org/10.1016/j.partic.2009.01.007.

Wang, J., Yang, X., Klemeš, J. J., Tian, K., Ma, T., & Sunden, B. (2023). A review on nanofluid stability: preparation and application. Renewable and Sustainable Energy Reviews, 188, 113854. https://doi.org/10.1016/j.rser.2023.113854.

Murtaza, S., Ali, F., Sheikh, N. A., Khan, I., & Nisar, K. S. (2021). Analysis of silver nanoparticles in engine oil: Atangana–Baleanu fractional model. CMC-Computers, Materials & Continua, 67(3), 2915-2932. https://doi.org/10.32604/cmc.2021.013757.

Murtaza, S., Ahmad, Z., Ali, I. E., Akhtar, Z., Tchier, F., Ahmad, H., & Yao, S. W. (2023). Analysis and numerical simulation of fractal-fractional order non-linear couple stress nanofluid with cadmium telluride nanoparticles. Journal of King Saud University-Science, 35(4), 102618. https://doi.org/10.1016/j.jksus.2023.102618.

Adun, H., Kavaz, D., & Dagbasi, M. (2021). Review of ternary hybrid nanofluid: Synthesis, stability, thermophysical properties, heat transfer applications, and environmental effects. Journal of Cleaner Production, 328, 129525. https://doi.org/10.1016/j.jclepro.2021.129525.

Muneeshwaran, M., Srinivasan, G., Muthukumar, P., & Wang, C. C. (2021). Role of hybrid-nanofluid in heat transfer enhancement–A review. International Communications in Heat and Mass Transfer, 125, 105341. https://doi.org/10.1016/j.icheatmasstransfer.2021.105341.

Waqas, H., Farooq, U., Liu, D., Abid, M., Imran, M., & Muhammad, T. (2022). Heat transfer analysis of hybrid nanofluid flow with thermal radiation through a stretching sheet: A comparative study. International Communications in Heat and Mass Transfer, 138, 106303. https://doi.org/10.1016/j.icheatmasstransfer.2022.106303.

Alghamdi, W., Alsubie, A., Kumam, P., Saeed, A., & Gul, T. (2021). MHD hybrid nanofluid flow comprising the medication through a blood artery. Scientific Reports, 11(1), 11621. https://doi.org/10.1038/s41598-021-91183-6.

Murtaza, S., Kumam, P., Sutthibutpong, T., Suttiarporn, P., Srisurat, T., & Ahmad, Z. (2024). Fractal‐fractional analysis and numerical simulation for the heat transfer of ZnO+ Al2O3+ TiO2/DW based ternary hybrid nanofluid. ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 104(2), e202300459. https://doi.org/10.1002/zamm.202300459.

Chen, W., Sun, H., & Li, X. (2022). Fractional derivative modeling in mechanics and engineering. New York, Springer Nature.

Ahmad, J., Ali, F., Murtaza, S., & Khan, I. (2021). Caputo time fractional model based on generalized Fourier’s and Fick’s laws for Jeffrey nanofluid: Applications in automobiles. Mathematical Problems in Engineering, 2021(1), 4611656. https://doi.org/10.1155/2021/4611656.

Asjad, M. I., Ikram, M. D., Ali, R., Baleanu, D., & Alshomrani, A. S. (2020). New analytical solutions of heat transfer flow of clay-water base nanoparticles with the application of novel hybrid fractional derivative. Thermal Science, 24(Suppl. 1), 343-350. https://doi.org/10.2298/TSCI20S1343A.

Ahmad, M., Asjad, M. I., & Singh, J. (2021). Application of novel fractional derivative to heat and mass transfer analysis for the slippage flow of viscous fluid with single‐wall carbon nanotube subject to Newtonian heating. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.7332.

Murtaza, S., Ali, F., Aamina, N. A., Sheikh, N. A., Khan, I., & Nisar, K. S. (2020). Exact analysis of non-linear fractionalized Jeffrey fluid. A novel approach of Atangana–Baleanu fractional model. CMC-Computers, Materials & Continua, 65(3), 2033-2047. https://doi.org/10.32604/cmc.2020.011817.

Murtaza, S., & Ahmad, Z. (2024). Analysis of Clay Based Cementitious Nanofluid Subjected to Newtonian Heating and Slippage Conditions with Constant Proportional Caputo Derivative. GeoStruct Innovations, 2(2), 53-67. https://doi.org/10.56578/gsi020201.

Murtaza, S., Ismail, E. A., Awwad, F. A., Bonyah, E., Hassan, A. M., Khan, M. S., et al. (2024). Parametric simulations of fractal-fractional non-linear viscoelastic fluid model with finite difference scheme. AIP Advances, 14(4). https://doi.org/10.1063/5.0180414.

Atangana, A. (2017). Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system. Chaos, Solitons & Fractals, 102, 396-406. https://doi.org/10.1016/j.chaos.2017.04.027.

Murtaza, S., Ahmad, Z., Ali, I. E., Akhtar, Z., Tchier, F., Ahmad, H., & Yao, S. W. (2023). Analysis and numerical simulation of fractal-fractional order non-linear couple stress nanofluid with cadmium telluride nanoparticles. Journal of King Saud University-Science, 35(4), 102618. https://doi.org/10.1016/j.jksus.2023.102618.

Rehman, A., Inc, M., Mohammad, A., & Jan, R. (2025). Heat transfer in couple stress Williamson hybrid nanofluid with slip viscous dissipation and radiation and slip impacts: Semi-numerical simulation. Modern Physics Letters B, 2550182. https://doi.org/10.1142/S0217984925501829.

Khan, I., Alqahtani, A. M., Khan, A., Khan, D., Ganie, A. H., & Ali, G. (2022). New results of fractal fractional model of drilling nanoliquids with clay nanoparticles. Fractals, 30(01), 2250024. https://doi.org/10.1142/S0218348X22500244.

Zheng, K., Raza, A., Abed, A. M., Khursheed, H., Seddek, L. F., Ali, A. H., & Haq, A. U. (2023). New fractional approach for the simulation of (Ag) and (TiO2) mixed hybrid nanofluid flowing through a channel: Fractal fractional derivative. Case Studies in Thermal Engineering, 45, 102948. https://doi.org/10.1016/j.csite.2023.102948.

Abbas, S., Ramzan, M., Shafique, A., Nazar, M., Metwally, A. S. M., Abduvalieva, D., et al. (2024). Analysis of heat and mass transfer on nanofluid: An application of hybrid fractal-fractional derivative. Numerical Heat Transfer, Part A: Applications. https://doi.org/10.1080/10407782.2024.2366442.

Zakian, V. (1969). Numerical inversion of Laplace transform, Electronic Letters, 5(6), 120-121. https://doi.org/10.1049/el:19690090.