Heat Transfer Analysis on Thin Film Flow in MHD Ternary Nanofluid Over an Unsteady Stretching Sheet with Radiation Effect
DOI:
https://doi.org/10.37134/jsml.vol14.2.6.2026Keywords:
Thin Film Flow, Response Surface Methodology , Radiation, Ternary NanofluidAbstract
This study investigates heat transfer enhancement in a thin film flow over an unsteady stretching sheet by employing ternary nanofluids comprising three different nanoparticles suspended in water. Recognizing the limitations of conventional nanofluids, this research explores the synergistic effects of these nanoparticles to optimize heat transfer efficiency. Considering the significance of radiation in high-temperature applications, the study incorporates radiation heat transfer effects for accurate temperature predictions. Using similarity transformations, the governing equations are converted into a system of ordinary differential equations, which are then numerically resolved using Matlab's bvp4c solver. Response Surface Methodology (RSM) is used to examine the combined effects of radiation, magnetic fields, and nanoparticle composition on heat transfer properties in order to further improve heat transfer. By analyzing the impact of key parameters such as radiation, film thickness, nanoparticle volume fraction, suction/injection, magnetic field, and unsteadiness on skin friction, local Nusselt number, velocity, and temperature profiles, the study identifies optimal conditions for maximizing heat transfer efficiency. The findings suggest that thermal field of ternary nanofluid improves via radiation, stretching and Alumina nanoparticle parameters. Results also show that the optimized heat transfer involves a minimum Alumina nanoparticle parameter at the highest stretching and radiation parameters. This research provides valuable insights into the design and development of efficient thermal management systems in various applications, including aerospace, energy, and industrial sectors.
Downloads
References
Alharbi AF, Alhawiti M, Usman M, Ullah I, Alam MM, Bilal M. (2024). Enhancement of heat transfer in thin-film flow of a hybrid nanofluid over an inclined rotating disk subject to thermal radiation and viscous dissipation. International Journal of Heat and Fluid Flow, 107, 109360. doi:10.1016/j.ijheatfluidflow.2024.109360
Alraddadi I, Ayub A, Hussain SM, Khan U, Shah SZH, Hassan AM. (2023). The significance of ternary hybrid cross bio-nanofluid model in expanding/contracting cylinder with inclined magnetic field. Frontiers in Materials, 10, 1242085. doi:10.3389/fmats.2023.1242085
Bhattacharya A, Calmidi VV, Mahajan RL. (2002). Thermophysical properties of high porosity metal foams. International Journal of Heat and Mass Transfer, 45(5), 1017-1031. doi:10.1016/S0017-9310(01)00220-4
Bilal M, Ullah I, Alam MM, Weera W, Galal AM. (2022). Numerical simulations through PCM for the dynamics of thermal enhancement in ternary MHD hybrid nanofluid flow over plane sheet, cone, and wedge. Symmetry, 14(11), 2419. doi:10.3390/sym14112419
Das K, Acharya N, Kundu PK. (2017). Thin film flow over an unsteady stretching sheet with thermocapillarity in presence of magnetic field. Thermal Science, 21, 2369-2378. doi:10.2298/TSCI150221141D
Gomathy G, Kumar BR. (2024). Impacts of nanoparticle shapes on Ag-water nanofluid thin film flow through a porous medium with thermal radiation and ohmic heating. Journal of Thermal Analysis & Calorimetry, 149(13). doi:10.1007/s10973-023-12609-z
Gull L, Mushtaq A, Mehmood T, Mustafa M. (2024). Exploring slip flow of viscoelastic fluid with frictional heating effects: Uncertainty analysis using response surface methodology (RSM). International Communications in Heat and Mass Transfer, 155, 107548. doi:10.1016/j.icheatmasstransfer.2024.107548
Hayat U, Shaiq S, Shahzad A. (2025). Numerical investigation and analysis of heat transfer and thin film flow of Fe3O4 and Al2O3 nanoparticles dispersed in H2O over vertical stretching sheet. Numerical Heat Transfer, Part A: Applications, 86(9), 2778-2792. doi:10.1080/10407782.2023.2294054
Haq F, Ghazwani HA, Younis J, Ghazwani MH, Alnujaie A. (2025). Numerical investigation of mass and heat transfer in ternary hybrid nanofluid flow with activation energy. International Journal of Energy Research, 2025(1), 8061691. doi:10.1155/er/8061691
Hema S, Venkatesh P, Gireesha BJ, Pavithra CG. (2025). Flow and heat transfer analysis of MHD ternary hybrid nanofluid flow through a vertical porous microchannel with slip boundary conditions. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(3), 183. doi:10.1007/s41939-025-00764-9
Jamrus FN, Waini I, Khan U, Ishak A. (2024a). Effects of magnetohydrodynamics and velocity slip on mixed convective flow of thermally stratified ternary hybrid nanofluid over a stretching/shrinking sheet. Case Studies in Thermal Engineering, 55, 104161. doi:10.1016/j.csite.2024.104161
Jamrus FN, Ishak A, Waini I, Khan U, Siddiqui MIH, Madhukesh JK. (2024b). Aspects of non‐unique solutions for hiemenz flow filled with ternary hybrid nanofluid over a stretching/shrinking sheet. Advances in Mathematical Physics, 1, 7253630. doi:10.1155/2024/7253630
Kamis NI, Jiann LY, Shafie S, Khairuddin TKA, Basir MFM. (2022). Magnetohydrodynamics boundary layer flow of hybrid nanofluid in a thin-film over an unsteady stretching permeable sheet. Journal of Nanofluids, 11(1), 74-83. doi:10.1166/jon.2022.1821
Malleswari K, Sarojamma G. (2025). Unsteady thin film flow of a hybrid nanoliquid with magnetic effects. World Journal of Engineering, 22(4), 749-759. doi:10.1108/WJE-01-2024-0043
Mathew A, Areekara S, Sabu AS. (2021). Sensitivity analysis on radiative heat transfer of hydromagnetic Carreau nanoliquid flow over an elongating cylinder using Bulirsch-Stoer algorithm. Thermal Science and Engineering Progress, 25, 101038. doi:10.1016/j.tsep.2021.101038
Montgomery DC. (2017). Design and analysis of experiments. John Wiley & Sons.
Mukhtar S, Gul T. (2023). Solar radiation and thermal convection of hybrid nanofluids for the optimization of solar collector. Mathematics, 11(5), 1175. doi:10.3390/math11051175
Noor NFM, Abdulaziz O, Hashim I. (2010). MHD flow and heat transfer in a thin liquid film on an unsteady stretching sheet by the homotopy analysis method. International Journal for Numerical Methods in Fluids, 63(3), 357-373. doi:10.1002/fld.2078
O’brien SBG, Schwartz LW. (2002). Theory and modeling of thin film flows. Encyclopedia of Surface and Colloid Science, 1, 5283-5297.
Puneeth V, Manjunatha S, Makinde OD, Gireesha BJ. (2021). Bioconvection of a radiating hybrid nanofluid past a thin needle in the presence of heterogeneous–homogeneous chemical reaction. Journal of Heat Transfer, 143(4), 042502. doi:10.1115/1.4049844
Pyari DR, Thumma T, Ontela S. (2025). Comparative analysis of response surface methodology and sensitivity analysis on radiative hybrid nanofluid flow over an inclined spinning disk with non-uniform heat source. Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(3), 162. doi:10.1007/s41939-025-00742-1
Ramesh GK, Madhukesh JK, Das R, Shah NA, Yook SJ. (2025). Thermodynamic activity of a ternary nanofluid flow passing through a permeable slipped surface with heat source and sink. Waves in Random and Complex Media, 35(2), 3499-3519. doi:10.1080/17455030.2022.2053237
Reddy YD, Mebarek-Oudina F, Goud BS, Ismail AI. (2022). Radiation, velocity and thermal slips effect toward MHD boundary layer flow through heat and mass transport of Williamson nanofluid with porous medium. Arabian Journal for Science and Engineering, 47(12), 16355-16369. doi:10.1007/s13369-022-06825-2
Reddy YD, Mangamma I. (2023). Influence of velocity slip and viscous dissipation on MHD heat transfer Fe3O4-ethylene glycol nanofluid flow over a shrinking sheet with thermal radiation. Journal of Computational Biophysics and Chemistry, 22(7), 815-828. doi:10.1142/S2737416523500424
Samat NAA, Bachok N, Arifin NM. (2024). Boundary layer stagnation point flow and heat transfer over a nonlinear stretching/shrinking sheet in hybrid carbon nanotubes: numerical analysis and response surface methodology under the influence of magnetohydrodynamics. Computation, 12(3), 46. doi:10.3390/computation12030046
Sharma D, Sood S, Thakur A, Prasad S. (2023). Numerical Analysis of Williamson-Micropolar Ternary Nanofluid Flow Through Porous Rotatory Surface. Journal of Nanofluids, 12(8), 2234-2344. doi:10.1166/jon.2023.2092
Wang CY. (1990). Liquid film on an unsteady stretching surface. Quarterly of Applied Mathematics, 48(4), 601-610. doi:10.1090/qam/1079908
Wang C. (2006). Analytic solutions for a liquid film on an unsteady stretching surface. Heat and Mass Transfer, 42(8), 759-766. doi:10.1007/s00231-005-0027-0
Wahid NS, Mustafa MS, Arifin NM, Pop I, Anuar NS, Khashi'ie NS. (2024). Numerical and statistical analyses of three-dimensional non-axisymmetric Homann's stagnation-point flow of nanofluids over a shrinking surface. Chinese Journal of Physics, 89, 1555-1570. doi:10.1016/j.cjph.2023.11.034
Wahid NS, Mustafa MS, Arifin NM, Khashi’ie NS, Pop I. (2025). Hybrid nanofluid radiative flow across a permeable convective moving surface with heat generation: numerical and statistical approach. Neural Computing and Applications, 37(5), 2911-2923. doi:10.1007/s00521-024-10834-7
Zeeshan, Khan I, Weera W, Mohamed A. (2022). Heat transfer analysis of Cu and Al2O3 dispersed in ethylene glycol as a base fluid over a stretchable permeable sheet of MHD thin-film flow. Scientific Reports, 12(1), 8878. doi:10.1038/s41598-022-12671-x
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Nur Syazana Anuar, Al-Nurul Amni Athirah Hasbullah, Nur Adilah Liyana Aladdin, Norfifah Bachok, Zeeshan Khan

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.


