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Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity
AIMS Mathematics 2024, 9(12): 35432-35470
Published: 15 December 2024
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The artificial neural network (ANN) in conjunction with the incompressible smoothed particle hydrodynamics (ISPH) approach, deals with exothermic reaction effects on Cattaneo-Christov (Ca-Ch) heat and mass transport of nano-enhanced phase change material (NEPCM) in a curvilinear cavity. The ANN model, trained on data obtained from ISPH simulations, accurately predicted the mean Nu¯ and Sh¯ values. Two cases of boundary conditions included (Th&Ch) on top/bottom walls and (Tc&Cc) on vertical walls and inner ellipse for C1. The boundary walls of a curvilinear cavity were kept at (Th&Ch) and the inner ellipse was maintained at (Tc&Cc) for C2. The pertinent parameters were scaled as Frank-Kamenetskii number Fk(01,) Ca–Ch heat, mass transfer parameters (δθ&δΦ)(00.2), Hartmann number Ha(060), buoyancy ratio parameter N(24), power law index parameter n(1.11.4), Rayleigh number Ra(103105), Soret/Dufour numbers (Sr&Du)(00.5), and fusion temperature θf(0.10.9). The simulation results demonstrated the effectiveness of Ca-Ch heat and mass transport parameters in lowering temperature and concentration within a curvilinear cavity at C1 and C2. Increasing δθ&δΦ from 0 to 0.2 resulted in a 44.1% and 48.9% drop in velocity field at C1 and C2, respectively. Boundary conditions (C1 and C2) significantly affected mass, heat transfer, heat capacity ratio, and velocity field within a curvilinear cavity. An increase in Power law index n from 1.1 to 1.4, reduced a velocity field by 64.68% and 64.66% at C1 and C2, respectively. Increasing Sr and Du helped distribute concentration. When Sr and Du were raised from 0 to 0.5, the velocity field increased by 34.17% and 29.73%, respectively, at C1 and C2.

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