Heat and Mass Transfer of Boundary Layer Jeffrey Ternary Hybrid Nanofluid Flow Over Porous Wedge With Surface-Catalysed Chemical Reactions: An ANFIS Model

M. Shanmugapriya, A. S. Ashwinth Jeffrey, R. Sundareswaran and Qingkai Zhao

Journal of Mathematics, 2024, vol. 2024, 1-30

Abstract: The current study employs machine learning (ML) techniques to investigate the heat and mass transport of Jeffrey ternary hybrid nanofluid (THNF). Various influential factors, including magnetic field, thermal radiation, viscous dissipation, activation energy, thermophoresis, Brownian motion and surface-catalysed chemical reactions, are considered in the analysis. The porous moving wedge supports and influences the flow pattern. For thermal enhancement, three different nanoparticles, namely, Ag silver, CuO copper oxide and SWCNT single−walled carbon nanotubes, diluted in the regular fluid blood. Initially, the mathematically modelled partial differential equations (PDEs) are solved numerically by the help of the shooting method. The suitable nondimensional similarity transformations are implied to convert the dimensional PDEs to nondimensional ordinary differential equations (ODEs). The reduced dimensionless nonlinear coupled ODEs are solved using ode-45 in MATLAB. The impact of φAg,φCuO,φSWCNT in Cfx, Nux, Shx, ShP and ShQ is displayed in cone plots. It is found that, on increasing φAg, φCuO,φSWCNT, the heat transfer and mass transfer rate gets enhanced in THNF than the hybrid nanofluid (HNF) and nanofluid (NF). The influence of nondimensional parameters over f″0, θ′0, ϕ′0, G′0 and H′0 is displayed in 3D contour plots for THNF and HNF. The radiation parameter R, Brownian motion parameter Nb, thermophoresis parameter Nt and volume fraction parameters φAg,φCuO,φSWCNT boost the energy transfer rate. Finally, the obtained numerical results are split into training and validation datasets that are used in designing the adaptive neuro-fuzzy inference system (ANFIS) ML model. Five different ANFIS models are developed with the help of nondimensional parameters affecting f″0, θ′0, ϕ′0, G′0 and H′0 to predict the physical quantities of dragging force Cfx, energy transfer rate Nux, the rate of mass transport Shx and mass fluxes for chemical species P and Q ShP and ShQ, respectively. The training and checking errors attained the convergence less than 2×10−4 and 0.2, respectively, for all the five factors. The present ANFIS models have good balance between fitting the training data and generalising to new data, which can make accurate predictions irrespective of variations. The numerical and predicted ANFIS f″0, θ′0, ϕ′0, G′0 and H′0 for training data, checking data and results are demonstrated in regression plots. From regression plots, we can observe that the Pearson correlation coefficient attains the positive correlation with R value closer to one. Hence, the developed ANFIS model shows the minimal error in predictions with high degree of accuracy of forecast in THNF flow.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7733414

DOI: 10.1155/2024/7733414

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