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Fuzzy Simulation of Heat Transfer in Ternary Hybrid Nanofluid Flow Across a Moving Wedge

Document Type : Research Paper

Authors

1 Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.

2 Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India

3 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University of Hassan II, Casablanca, Morocco

Abstract

This study investigated the impact of fuzzy nanoparticle volume fraction on the heat transport of ternary hybrid nanofluid (THNF) over a moving wedge, considering factors such as magnetic field, thermal radiation, and shape factor. The governing nonlinear coupled partial differential equations are transformed into ordinary differential equations using suitable similarity transformation. The reformulated ordinary differential equations are then converted into fuzzy differential equations by utilizing the α-cut technique. The shooting method is employed to perform numerical simulation via MATLAB. The present study reveals that the THNF exhibits a significantly enhanced heat transfer rate approximately 36.29% higher than the hybrid nanofluid, 59.30% higher than the nanofluid, and 69.87% higher than the base fluid. The volume fraction of nanoparticles in THNF may vary due to factors like inconsistencies during synthesis, particle aggregation, and dispersion stability, leading to uncertainty in predicting fluid behavior. To address this uncertainty, a fuzzy logic approach is employed. In present study, triangular and trapezoidal fuzzy numbers are used to represent the nanoparticle volume fraction in THNF. By employing the technique in conjunction with the associated membership functions, the impact of these fuzzy parameters on different shape factors is systematically analyzed. The findings reveal that the blade-shaped nanoparticle exhibits higher heat transport than the other nanoparticle shapes.

Keywords

Main Subjects

References
1] M. Abbas, N. Khan, M. S. Hashmi, Z. Salleh, H. Ullah, A. S. Alsubaie, S. Rezapour, M. Inc, Numerical simulation
of Darcy-Forchheimer flow of Casson ternary hybrid nanofluid with melting phenomena and local thermal nonequilibrium
effects, Case Studies in Thermal Engineering, 60 (2024), 104694. https://doi.org/10.1016/j.csite.
2024.104694
[2] H. AL Garalleh, Numerical simulation of heat transport mechanism in chemically influenced ternary hybrid
nanofluid flow over a wedge geometry, Discover Applied Sciences, 6(9) (2024), 449. https://doi.org/10.1007/
s42452-024-06141-4
[3] A. M. Alqahtani, W. Khan, F. Smarandache, N. Becheikh, R. Alroobaea, T. Muhammad, Numerical solution of
hybrid nanofluid and its stability over permeable wedge sheet with heat transfer analysis, IEEE Access, 12 (2024),
57633-57645. https://doi.org/10.1109/ACCESS.2024.3378513
[4] A. A. Al-Saedi, L. Verma, R. Meher, O. Nikan, Study on Jeffery-Hamel nano-fluid flow with uncertain volume
fraction using semi-analytical approach, AIP Advances, 15(4) (2025). https://doi.org/10.1063/5.0268586
[5] N. Amar, N. Kishan, The influence of radiation on MHD boundary layer flow past a nano fluid wedge embedded
in porous media, Partial Differential Equations in Applied Mathematics, 4 (2021), 100082. https://doi.org/10.
1016/j.padiff.2021.100082
[6] A. Ayub, S. Z. H. Shah, Z. Sabir, A. Rashid, M. R. Ali, A novel study of the Cross nanofluid with the effects
of inclined magnetic field in fuzzy environment, International Journal of Thermofluids, 22 (2024), 100636. https:
//doi.org/10.1016/j.ijft.2024.100636
[7] A. A. Azar, P. Jalili, Z. P. Moziraji, B. Jalili, D. D. Ganji, Analytical solution for MHD nanofluid flow over a porous
wedge with melting heat transfer, Heliyon, 10(15) (2024). https://doi.org/10.1016/j.heliyon.2024.e34888
[8] A. Chakraborty, R. Saadeh, A. Qazza, N. Zomot, P. Janapatla, U. Khan, T. Muhammad, On the thermal performance
of radiative stagnation-point hybrid nanofluid flow across a wedge with heat source/sink effects and sensitivity
analysis, Frontiers in Materials, 11 (2024), 1391377. https://doi.org/10.3389/fmats.2024.1391377
[9] S. S. Chang, L. A. Zadeh, On fuzzy mapping and control, IEEE Transactions on Systems, Man, and Cybernetics,
SMC-2(1) (1972), 30-34. https://doi.org/10.1109/TSMC.1972.5408553
[10] S. U. Choi, J. A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles, Argonne National Lab
(ANL), Argonne, IL (United States), 1995.
[11] S. Choudhary, V. Kumar Jarwal, P. Choudhary, K. Loganathan, B. Pattanaik, Mass-based hybrid nanofluid model
for thermal radiation analysis of MHD flow over a wedge embedded in porous medium, Journal of Engineering,
2024(1) (2024), 9528362. https://doi.org/10.1155/2024/9528362
[12] N. Deepa, P. Kavya, N. Thamaraikannan, S. Madhanraj, P. Asaigeethan, K. Loganathan, Fuzzy volume fraction
model representation of blood-based Sisko Tri-hybrid nanofluid flow via a non-linear stretching cylinder, International
Journal of Thermofluids, 29 (2025), 101354. https://doi.org/10.1016/j.ijft.2025.101354
[13] D. Dubois, H. Prade, Operations on fuzzy numbers, International Journal of Systems Science, 9(6) (1978), 613-626.
https://doi.org/10.1080/00207727808941724
[14] M. Faizan, M. Ajithkumar, M. V. Reddy, M. A. Jamal, B. Almutair, N. A. Shah, J. D. Chung, A theoretical analysis
of the ternary hybrid nano-fluid with Williamson fluid model, Ain Shams Engineering Journal, 15(8) (2024), 102839.
https://doi.org/10.1016/j.asej.2024.102839
[15] U. Farooq, M. Imran, N. Fatima, Computational insights into the thermal behavior of SWCNT-Fe3O4 and
MWCNT-CuO hybrid nanofluids in stretching cylinder with response surface methodology, Multiscale and Multidisciplinary Modeling, Experiments and Design, 8(4) (2025), 221. https://doi.org/10.1007/s41939-025-00786-3
[16] W. Ibrahim, A. Tulu, Magnetohydrodynamic (MHD) boundary layer flow past a wedge with heat transfer and viscous
effects of nanofluid embedded in porous media, Mathematical Problems in Engineering, 2019(1) (2019), 4507852.
https://doi.org/10.1155/2019/4507852
[17] K. Jabeen, M. Mushtaq, M. Akram, Suction and injection impacts on Casson nanofluid with gyrotactic microorganisms
over a moving wedge, Journal of Fluids Engineering, 144(1) (2022), 011204. https://doi.org/10.
1115/1.4051484
[18] B. Jalili, P. M. Zar, D. Liu, C. H. Ji, P. Jalili, M. A. Abdelmohimen, D. D. Ganji, Thermal study of MHD hybrid
nano fluids confined between two parallel sheets: Shape factors analysis, Case Studies in Thermal Engineering, 63
(2024), 105229. https://doi.org/10.1016/j.csite.2024.105229
[19] S. Khalil, T. Abbas, R. Nawaz, Enhanced thermal and flow behavior of Cu-Al2O3/water hybrid nanofluids in
porous media under variable magnetic field conditions, International Journal of Thermofluids, 27 (2025), 101166.
https://doi.org/10.1016/j.ijft.2025.101166
[20] S. A. Khan, M. Imran, H. Waqas, T. Muhammad, S. Yasmin, A. Alhushaybari, Numerical analysis of multiple slip
effects on CuO/MgO/TiO2-water ternary hybrid nanofluid with thermal and exponential space-based heat source,
Tribology International, 197 (2024), 109778. https://doi.org/10.1016/j.triboint.2024.109778
[21] W. A. Khan, I. Pop, Boundary layer flow past a wedge moving in a nanofluid, Mathematical Problems in Engineering,
2013(3) (2013), 637285. https://doi.org/10.1155/2013/637285
[22] S. G. Krishna, M. Shanmugapriya, Inquiry of MHD bioconvective non-newtonian nanofluid flow over a moving
wedge using HPM, Materials Today: Proceedings, 38(5) (2021), 3297-3305. https://doi.org/10.1016/j.matpr.
2020.10.028
[23] A. Kumar, R. Meher, Study on uncertain impact of thermal radiation on micropolar hybrid nanofluid flow between
porous channel walls with distinct nanoparticles, Journal of Taibah University for Science, 18(1) (2024), 2352008.
https://doi.org/10.1080/16583655.2024.2352008
[24] H. Masuda, A. Ebata, K. Teramae, N. Hishinuma, Alteration of thermal conductivity and viscosity of liquid by
dispersing ultra-fine particles. Dispersion of Al2O3, SiO2 and TiO2 ultra-fine particles, Netsu Bussei, 7(4) (1993),
227-233. https://doi.org/10.2963/jjtp.7.227
[25] J. C. Maxwell, A treatise on electricity and magnetism, Oxford: Clarendon Press, 1 (1873).
[26] P. Mishra, M. R. Acharya, S. Panda, Mixed convection MHD nanofluid flow over a wedge with temperaturedependent
heat source, Pramana, 95 (2021), 1-12. https://doi.org/10.1007/s12043-021-02087-z
[27] T. Pathinathan, K. Ponnivalavan, E. M. Dison, Different types of fuzzy numbers and certain properties, Journal of
Computer and Mathematical Sciences, 6(11) (2015), 631-651.
[28] S. S. K. Raju, P. Durgaprasad, J. L. D. Palencia, A.Wakif, et. al., Contour analysis for heat transfer rate in a wedge
geometry with non-uniform shapes nanofluid: Gradient descent machine learning technique, Results in Engineering,
23 (2024), 102714. https://doi.org/10.1016/j.rineng.2024.102714
[29] C. S. K. Raju, M. M. Hoque, T. Sivasankar, Radiative flow of Casson fluid over a moving wedge filled with
gyrotactic microorganisms, Advanced Powder Technology, 28(2) (2017), 575-583. https://doi.org/10.1016/j.
apt.2016.10.026
[30] S. Rao, P. N. Deka, Numerical analysis of MHD hybrid nanofluid flow a porous stretching sheet with thermal
radiation, International Journal of Applied and Computational Mathematics, 10(3) (2024), 95. https://doi.org/
10.1007/s40819-024-01734-4
[31] M. V. Reddy, A. Moorthi, S. A. Lone, F. Ali, et. al., Magneto-Williamson nanofluid flow past a wedge with
activation energy: Buongiorno model, Advances in Mechanical Engineering, 16(1) (2024), 1-10. https://doi.org/
10.1177/16878132231223027
[32] M. Shanmugapriya, R. Sundareswaran, S. G. Krishna, M. Pal, An analysis of effect of higher order endothermic/
exothermic chemical reaction on magnetized casson hybrid nanofluid flow using fuzzy triangular number, Engineering
Applications of Artificial Intelligence, 133(B) (2024), 108119. https://doi.org/10.1016/j.engappai.
2024.108119
[33] M. Shanmugapriya, R. Sundareswaran, P. S. Kumar, G. Rangasamy, Impact of nanoparticle shape in enhancing
heat transfer of magnetized ternary hybrid nanofluid, Sustainable Energy Technologies and Assessments, 53(C)
(2022), 102700. https://doi.org/10.1016/j.seta.2022.102700
[34] K. Varatharaj, R. Tamizharasi, K. Vajravelu, Ternary hybrid nanofluid flow and heat transfer at a permeable
stretching sheet with slip boundary conditions, The European Physical Journal Special Topics, 234(8) (2025), 2293-
2316. https://doi.org/10.1140/epjs/s11734-024-01295-z
[35] N. A. Yacob, A. Ishak, I. Pop, Falkner-Skan problem for a static or moving wedge in nanofluids, International
Journal of Thermal Sciences, 50(2) (2011), 133-139. https://doi.org/10.1016/j.ijthermalsci.2010.10.008
[36] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353. https://doi.org/10.1016/
S0019-9958(65)90241-X
[37] N. A. Zainal, I. Waini, N. S. Khashi’ie, R. Nazar, I. Pop, MHD hybrid nanofluid flow past a stretching/shrinking
wedge with heat generation/absorption impact, CFD Letters, 16(6) (2024), 146-156. https://doi.org/10.37934/
cfd.16.6.146156
[38] A. Zeeshan, D. Hussain, Z. Asghar, M. M. Bhatti, F. Z. Duraihem, Thermal optimization of MHD nanofluid over
a wedge by using response surface methodology: Sensitivity analysis, Propulsion and Power Research, 12(4) (2023),
556-567. https://doi.org/10.1016/j.jppr.2023.10.003
[39] R. M. Zulqarnain, M. Nadeem, I. Siddique, H. Ahmad, S. Askar, M. Samar, Heat transfer analysis of Maxwell
tri-hybridized nanofluid through Riga wedge with fuzzy volume fraction, Scientific Reports, 13(1) (2023), 18238.
https://doi.org/10.1038/s41598-023-45286-x
Iranian Journal of Fuzzy Systems
Volume 23, Issue 4
July and August 2026
Pages 75-95
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