ABSTRACT
Ternary nanoparticles significantly enhance the performance of electrical components, including lubricants, radiators, and cooling systems. This study investigates heat transfer in a 2-D micropolar ternary hybrid nanofluid-flow (copper, alumina, silver in water) over a stretched curved surface. It accounts for micropolarity, thermophoresis, Brownian motion, thermal radiation, heat source, activation energy, and specific boundary conditions. The governing PDE are reduced to non-linear ODEs using similarity transformations. Results show that ternary nanofluids outperform hybrid ones in thermal efficiency, benefiting applications like heat exchangers. Velocity decreases along the x-axis due to material and magnetic effects, but increases in the secondary direction. A higher heat source reduces the Nusselt number, while radiation enhances both temperature and Nusselt number. Magnetic fields raise skin friction, and activation energy with thermophoresis increases concentration, which is reduced by Brownian motion. Flow characteristics are illustrated through figures and tables to highlight these physical effects.
KEYWORDS
PAPER SUBMITTED: 2025-02-02
PAPER REVISED: 2025-05-11
PAPER ACCEPTED: 2025-07-19
PUBLISHED ONLINE: 2025-09-26
THERMAL SCIENCE YEAR
2025, VOLUME
29, ISSUE
Issue 4, PAGES [3149 - 3165]
- Crane, L. J., Flow Past a Stretching Plate, Zeitschrift für Angew. Math. und Phys. ZAMP, 21 (1970), 4, pp. 645-647
- Sajid, N., et al., Stretching a Curved Surface in a Viscous Fluid, Chinese Phys. Lett., 27 (2010), 2, 24703
- Imtiaz, M., et al.,Homogeneous-Heterogeneous Reactions in MHD Flow Due to an Unsteady Curved Stretching Surface, J. Mol. Liq., 221 (2016), Sept., pp. 245-253
- Turkyilmazoglu, M.,Mixed Convection Flow of Magnetohydrodynamic Micropolar Fluid Due to a Porous Heated/Cooled Deformable Plate: Exact Solutions, Int. J. Heat Mass Transf., 106 (2017), Mar., pp. 127-134
- Ali, F., et al., Impact of Thermal Radiative Carreau Ternary Hybrid Nanofluid Dynamics in Solar Aircraft with Entropy Generation: Significance of Energy in Solar Aircraft, J. Therm. Anal. Calorim., 149 (2024), 4, pp. 1495-1513
- Li, S., et al., Modelling and Analysis of Heat Transfer in MHD Stagnation Point Flow of Maxwell Nanofluid over a Porous Rotating Disk, Alexandria Eng. J., 91 (2024), Mar., pp. 237-248
- Puneeth, V., et al., Theoretical Analysis of the Thermal Characteristics of Ree-Eyring Nanofluid-Flowing Past a Stretching Sheet Due to Bioconvection, Biomass Convers. Biorefinery, 14 (2024), 7, pp. 8649-8660
- Fang, T., Slip MHD Viscous Flow over a Stretching Sheet - An Exact Solution, Commun. Non-linear Sci. Numer. Simul., 14 (2009), 11, pp. 3731-3737
- Hayat, T., et al., The MHD Flow and Heat Transfer over Permeable Stretching Sheet with Slip Conditions, Int. J. Numer. Methods Fluids, 66 (2011), 8, pp. 963-975
- Tamanna, M. N., et al., Numerical Investigation of Heat Transfer Enhancement on Tangent Hyperbolic Fluid over a Stretching Sheet with an Inclined Magnetic Field Filled with Hybrid Nanofluids, J. Eng. Thermophys., 33 (2024), 1, pp. 55-72
- Pavlov, K. B., Magnetohydrodynamic flow of an Incompressible Viscous Fluid Caused by Deformation of a Plane Surface, Magn. Gidrodin., 4 (1974), 1, pp. 146-147
- Kumaran, V., The MHD Flow Past AaStretching Permeable Sheet, Appl. Math. Comput., 210 (2009), 1, pp. 26-32
- Mabood, F., et al., The MHD Flow over Exponential Radiating Stretching Sheet Using Homotopy Analysis Method, J. King Saud Univ. Sci., 29 (2017), 1, pp. 68-74
- Ishak, A., The MHD Stagnation Point Flow Towards a Stretching Sheet, Phys. A Stat. Mech. its Appl., 388 (2009), 17, pp. 3377-3383
- Bestman, A. R., Natural-Convection Boundary-Layer With Suction and Mass Transfer in a Porous Medium, Int. J. Energy Res., 14 (1990), 4, pp. 389-396
- Nihaal, K. M., et al., Darcy Forchhiemer Imposed Exponential Heat Source-Sink and Activation Energy with the Effects of Bioconvection over Radially Stretching Disc, Sci. Rep., 14 (2024), 1, 7910
- Suganya, S., et al., Activation Energy and Coriolis force on CuTiO2/Water Hybrid Nanofluid-Flow in an Existence of Non-Linear Radiation, Appl. Nanosci., 11 (2021), 3, pp. 933-949
- Bilal, M., Numerical Evaluation of Darcy Forchhemier Hybrid Nanofluid-Flow under the Consequences of Activation Energy and Second-Order Chemical Reaction over a Slender Stretching Sheet, Waves in Random and Complex Media, On-line first, doi.org/10.80/17455030.2022.2111477, 2022
- Shanmugapriya, M., et al., Heat and Mass Transfer Enhancement of MHD Hybrid Nanofluid-Flow in the Presence of Activation Energy, Int. J. Chem. Eng., 2021 (2021), 1, 9473226
- Soid, S. K., et al., The MHD Stagnation-Point Flow over a Stretching/Shrinking Sheet in a Micropolar Fluid with Aa Slip Boundary, Sains Malaysiana, 47 (2018), 11, pp. 2907-2916
- Eringen, A. C., Theory of Micropolar Fluids, J. Math. Mech., 16 (1996), 1, pp. 1-18
- Alqahtani, A. M., et al., Thermal Analysis of Micropolar Hybrid Nanofluid Inspired by 3-D Stretchable Surface in Porous Media, Nanoscale Adv., 5 (2023), 22, pp. 6216-6227
- Mahdy, A., et al., The Magneto-Natural-Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium, Fluids, 6 (2021), 6, 202
- Anuar, N. S., Bachok, N., Double Solutions and Stability Analysis of Micropolar Hybrid Nanofluid with Thermal Radiation Impact on Unsteady Stagnation Point Flow, Mathematics, 9 (2021), 3, 276
- Ali, F., et al., Heat and Mass Exchanger Analysis for Ree-Eyring Hybrid Nanofluid through a Stretching Sheet Utilizing the Homotopy Perturbation Method, Case Stud. Therm. Eng., 54 (2024), 104014
- Choi, S. U. S., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Am. Soc. Mech. Eng. Fluids Eng. Div. FED, 231 (1995), Jan., pp. 99-105
- Khanafer, K., et al., Buoyancy-Driven Heat Transfer Enhancement in a 2-D Enclosure Utilizing Nanofluids, Int. J. Heat Mass Transf., 46 (2023), 19, pp. 3639-3653
- Tiwari, R. K., Das, M. K., Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids, Int. J. Heat Mass Transf., 50 (2007), 9-10, pp. 2002-2018
- Rehman, A., et al., Viscous Dissipation Effects on Time-Dependent MHD Casson Nanofluid over Stretching Surface: A Hybrid Nanofluid Study, J. Mol. Liq., 408 (2024), 125370
- Gupta, S., et al., Cattaneo-Christov Heat and Mass Model for Radiative EMHD Aluminum Alloys (7072/7072+7075 T6) with Transformer Base Oil Hybrid Nanofluid over an Exponentially Stretching Sheet, Bionanoscience, 14 (2024), Feb., pp. 5246-5264
- Lei, I. T., et al., Computational Analysis of Rotating Flow of Hybrid Nanofluid over a Stretching Surface, Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng., 236 (2022), 6, pp. 2570-2579
- Shinwari, W., A Numerical Study on the Flow of Water-Based Ternary Hybrid Nanomaterials on a Stretchable Curved Sheet, Nanoscale Adv., 5 (2023), 22, pp. 6249-6261
- Jan, S. U., et al., Impact of Variable Thermal Conductivity on Flow of Trihybrid Nanofluid over a Stretching Surface, Nanotechnology, 34 (2023), 46, 465301
- Jan, A., et al., Non-Similar Analysis of Forced Convection Radially Magnetized Ternary Hybrid Nanofluid-Flow over a Curved Stretching Surface, Numer. Heat Transf. Part B Fundam., 86 (2025), 9, pp. 3093-3121
- Sharma, R. P., Badak, K., Heat Transport of Radiative Ternary Hybrid Nanofluid over a Convective Stretching Sheet with Induced Magnetic Field and Heat Source/Sink, J. Therm. Anal. Calorim., 149 (2024), 9, pp. 3877-3889
- Farooq, U., et al., Heat Transfer Analysis of Ternary Hybrid Williamson Nanofluids with Gyrotactic Microorganisms Across Stretching Surfaces: Local Non-Similarity Method, Numer. Heat Transf. Part A Appl., 86 (2025), 18, pp. pp. 6314-6335
- Ramzan, P. M., et al., A Theoretical Analysis of the Ternary Hybrid Nanofluid-Flows over a Non-Isothermal and Non-Isosolutal Multiple Geometries, Heliyon, 9 (2023), 4
- Oke, A. S., Heat and Mass Transfer in 3-D MHD Flow of EG-Based Ternary Hybrid Nanofluid over a Rotating Surface, Arab. J. Sci. Eng., 47 (2022), 12, pp. 16015-16031
- Hasnain, J., Abid, N., Numerical Investigation for Thermal Growth in Water and Engine Oil-Based Ternary Nanofluid Using Three Different Shaped Nanoparticles over a Linear and Non-Linear Stretching Sheet, Numer. Heat Transf. Part A Appl., 83 (2023), 12, pp. 1365-1376
- Priyadharshini, P., et al., Ternary Hybrid Nanofluid-flow Emerging on a Symmetrically Stretching Sheet Optimization with Machine Learning Prediction Scheme, Symmetry (Basel), 15 (2023), 6, 1225
- Alghamdi, M., et al., Significance of Variability in Magnetic Field Strength and Heat Source on the Radiative-Convective Motion of Sodium Alginate-Based Nanofluid Within a Darcy-Brinkman Porous Structure Bounded Vertically by an Irregular Slender Surface, Case Stud. Therm. Eng., 28 (2021), 101428
- Rosca, N. C., Pop, I., Unsteady Boundary-Layer Flow over a Permeable Curved Stretching/Shrinking Surface, Eur. J. Mech., 51 (2015), May-June, pp. 61-67
- Afridi, M. I., et al., Second Law Analysis of Dissipative Nanofluid-Flow over a Curved Surface in the Presence of Lorentz Force: Utilization of the Chebyshev-Gauss-Lobatto Spectral Method, Nanomaterials, 9 (2019), 2, 195
- Ahmad, S., et al., Boundary-Layer Flow over a Curved Surface Imbedded In Porous Medium, Commun. Theor. Phys., 71 (2019), 3, 344
- Khan, W. A., Pop, I., Boundary-Layer Flow of a Nanofluid Past a Stretching Sheet, Int. J. Heat Mass Transf., 53 (2010), 11-12, pp. 11-12
- Reddy Gorla, R. S., Sidawi, I., Free Convection on a Vertical Stretching Surface with Suction and Blowing, Appl. Sci. Res., 52 (1994), 3, pp. 247-257
- Wang, C. Y., Free Convection on a Vertical Stretching Surface, ZAMM‐Journal Appl. Math. Mech. für Angew. Math. und Mech., 69 (1989), 11, pp. 418-420
- Dawar, A., et al., A Passive Control of Casson Hybrid Nanofluid-Flow over a Curved Surface with Alumina and Copper Nanomaterials: A Study on Sodium Alginate-Based Fluid, J. Mol. Liq., 382 (2023), 122018