This research investigates the Magnetohydrodynamic (MHD) flow of a Sutterby hybrid nanofluid over a convectively heated stretching sheet, specifically addressing the protection of human skin from solar thermal radiation. Utilizing Buongiorno’s nanomaterial model, the study evaluates the synergy of Cadmium Selenide (CdSe) and (𝐶6𝐻11𝑁𝑂4)𝑛− Chitosan nanoparticles in mitigating radiation absorption. The governing nonlinear equations are transformed into ordinary differential equations and solved numerically. The analysis is conducted in two distinct phases. First, the physical flow dynamics are examined. Results indicate that an increase in the Deborah number (De) and Reynolds number (Re) enhances fluid velocity, while an intensified magnetic field (M) reduces flow speed due to the Lorentz force. Thermal analysis reveals that the radiation parameter (Rd) and Eckert number (Ec) significantly thicken the thermal boundary layer, enhancing heat dissipation. Second, the study introduces a novel uncertainty analysis using Triangular Fuzzy Numbers (TFN) within the α range [0, 0.5, 1] to assess nanoparticle volume fractions. By employing the α-cut methodology and the Triangular Membership Function (TMF), the research evaluates the variability of the velocity and temperature profiles. Fuzzy linear regression demonstrates that the fuzzy velocity profile achieves its maximum flow rate at the central (crisp) value compared to the left and right membership bounds. These findings suggest that hybrid nanoparticles offer a superior internal defense mechanism against solar damage compared to topical treatments, providing a theoretical foundation for developing high-efficiency solar protection technologies.
Hayat T, Zahir H, Mustafa M, Alsaedi A. Peristaltic flow of Sutterby fluid in a vertical channel with radiative heat transfer and compliant walls: A numerical study. Results in Physics. 2016;6:805–10.
2.
Abdul Basit M, Imran M, Khan SA, Alhushaybari A, Sadat R, Ali MR. Partial differential equations modeling of bio-convective sutterby nanofluid flow through paraboloid surface. Scientific Reports. 2023;13(1).
3.
Sabir Z, Imran A, Umar M, Zeb M, Shoaib M, Raja M. A numerical approach for 2-D Sutterby fluid-flow bounded at a stagnation point with an inclined magnetic field and thermal radiation impacts. Thermal Science. 2021;25(3 Part A):1975–87.
4.
Usman A, Khan S, N, Rano A, Maitama S, M. Study of heat and mass transfer in MHD flow of sutterby nanofluid over a curved stretching sheet with magnetic dipole and effect. Thai Journal of Mathematics. 2021;(3):1037–55.
5.
Aldabesh A, Haredy A, Al-Khaled K, Khan SU, Tlili I. Darcy resistance flow of Sutterby nanofluid with microorganisms with applications of nano-biofuel cells. Scientific Reports. 2022;12(1).
6.
Zeeshan A, Awais M, Alzahrani F, Shehzad N. Energy analysis of non‐Newtonian nanofluid flow over parabola of revolution on the horizontal surface with catalytic chemical reaction. Heat Transfer. 2021;50(6):6189–209.
7.
Haq F, Saleem M, Khan MI. Investigation of mixed convection magnetized Casson nanomaterial flow with activation energy and gyrotactic microorganisms. Journal of Physics Communications. 2021;5(12):125001.
8.
Punith Gowda RJ, Naveen Kumar R, Jyothi AM, Prasannakumara BC, Sarris IE. Impact of Binary Chemical Reaction and Activation Energy on Heat and Mass Transfer of Marangoni Driven Boundary Layer Flow of a Non-Newtonian Nanofluid. Processes. 2021;9(4):702.
9.
Benhanifia K, Redouane F, Lakhdar R, Brahim M, Al-Farhany K, Jamshed W, et al. Investigation of mixing viscoplastic fluid with a modified anchor impeller inside a cylindrical stirred vessel using Casson–Papanastasiou model. Scientific Reports. 2022;12(1).
10.
Jamshed W, Eid MR, Al-Hossainy AF, Raizah Z, Tag El Din ESM, Sajid T. RETRACTED ARTICLE: Experimental and TDDFT materials simulation of thermal characteristics and entropy optimized of Williamson Cu-methanol and Al2O3-methanol nanofluid flowing through solar collector. Scientific Reports. 2022;12(1).
11.
Ali B, Hussain S, Nie Y, Ali L, Hassan SU. Finite element simulation of bioconvection and cattaneo-Christov effects on micropolar based nanofluid flow over a vertically stretching sheet. Chinese Journal of Physics. 2020;68:654–70.
12.
Khan SA, Waqas H, Naqvi SMRS, Alghamdi M, Al-Mdallal Q. Cattaneo-Christov double diffusions theories with bio-convection in nanofluid flow to enhance the efficiency of nanoparticles diffusion. Case Studies in Thermal Engineering. 2021;26:101017.
13.
Hayat T, Ullah I, Muhammad K, Alsaedi A. Gyrotactic microorganism and bio-convection during flow of Prandtl-Eyring nanomaterial. Nonlinear Engineering. 2021;10(1):201–12.
14.
Asjad MI, Zahid M, Jarad F, Alsharif AM. Bioconvection Flow of MHD Viscous Nanofluid in the Presence of Chemical Reaction and Activation Energy. Mathematical Problems in Engineering. 2022;2022:1–9.
15.
Imran M, Kamran T, Khan SA, Muhammad T, Waqas H. Physical attributes of bio-convection in nanofluid flow through a paraboloid of revolution on horizontal surface with motile microorganisms. International Communications in Heat and Mass Transfer. 2022;133:105947.
16.
Freire G. Federated Learning Models for Privacy-Preserving Healthcare Data Analysis. Journal of Wireless Intelligence and Spectrum Engineering. 2025;19–25.
17.
Ullah Awan A, Shah SAA, Ali B. Bio-convection effects on Williamson nanofluid flow with exponential heat source and motile microorganism over a stretching sheet. Chinese Journal of Physics. 2022;77:2795–810.
18.
Ramesh GK, Madhukesh JK, Aly EH, Pop I. Modified Buongiorno’s model for biomagnetic hybrid nanoliquid past a permeable moving thin needle. International Journal of Numerical Methods for Heat & Fluid Flow. 2022;32(11):3551–78.
19.
Daniel Y, Aziz Z, Ismail Z, Salah F. Thermal radiation on unsteady electrical MHD flow of nanofluid over stretching sheet with chemical reaction. Journal of King Saud University-Science. 2019;(4):804–12.
20.
Venkata K, Jayaramireddy K, Charankumar G. MHD and thermal radiation effects of a nanofluid over a stretching sheet using HAM. Int J Recent Technol Eng (IJRTE). 2019;(4):3489–96.
21.
Influence of Radiative Heat Energy on the MHD Flow of Cu-kerosene Nanofluid Over a Vertical Plate: Laplace Transform Technique. Biointerface Research in Applied Chemistry. 2021;12(5):6234–51.
22.
Sadulla S. Vertical Farming of Spinach Using Renewable Energy-Integrated Smart Growth Modules. National Journal of Plant Sciences and Smart Horticulture. 2023;1–8.
23.
Mondal S, Pal D. Exploring convective entropy optimization and activation energy impact on magneto-nanofluid flow over a vertical stretched plate with Hall current and nonlinear thermal radiation using SQLM. Hybrid Advances. 2024;7:100294.
24.
Vaidya H, Choudhari R, Mebarek‐Oudina F, Animasaun IL, Prasad KV, Makinde OD. Combined effects of homogeneous and heterogeneous reactions on peristalsis of Ree‐Eyring liquid: Application in hemodynamic flow. Heat Transfer. 2020;50(3):2592–609.
25.
Upreti H, Joshi N, Pandey AK, Rawat SK. Homogeneous–Heterogeneous Reactions Within Magnetic Sisko Nanofluid Flow Through Stretching Sheet Due to Convective Conditions Using Buongiorno’s Model. Journal of Nanofluids. 2022;11(5):646–56.
26.
Haq I, Naveen Kumar R, Gill R, Madhukesh JK, Khan U, Raizah Z, et al. Impact of homogeneous and heterogeneous reactions in the presence of hybrid nanofluid flow on various geometries. Frontiers in Chemistry. 2022;10.
27.
Moghaddam G, Abbasbandy R, Rostamy-Malkhalifeh S, M. A S tudy on Analytical Solutions of the Fuzzy Partial Differential Equations. International Journal of Industrial Mathematics. 2020;(4):419–29.
28.
Moatimid G, Elgazery N, Mohamed M, Elagamy K. Bio-convection flow of Sutterby nanofluid with motile microbes on stretchable sheet: exponentially varying viscosity. Journal of Applied and Computational Mechanics. 2024;(3):488–502.
29.
Geetha K, Saranya N. Impact of Organic Soil Amendments on Soil Microbial Diversity and Crop Productivity. Journal of Environmental Sustainability. 2025;(2):8–13.
30.
Jameel A, Ghoreishi M, Ismail A. Approximate solution of high order fuzzy initial value problems. Journal of uncertain systems. 2014;(2):149–60.
31.
Barhoi A, Hazarika GC, Dutta P. Numerical Study of Fuzzified Boundary Value Problem for Couette type Flow of Fluid Mechanics. Annals of Pure and Applied Mathematics. 2018;16(2):373–84.
32.
Biswal U, Chakraverty S, Ojha B. Natural convection of nanofluid flow between two vertical flat plates with imprecise parameter. Coupled systems mechanics. 2020;(3):219–35.
33.
DUBOIS D, PRADE H. Operations on fuzzy numbers. International Journal of Systems Science. 1978;9(6):613–26.
34.
Deepika J. Hardware-Algorithm Co-Design of Adaptive LMS/NLMS Signal Processing Pipelines for Power-Constrained Embedded Systems. National Journal of Integrated VLSI and Signal Intelligence. :26–33.
35.
Seikkala S. On the fuzzy initial value problem. Fuzzy Sets and Systems. 1987;24(3):319–30.
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