@article{Alhejaili2024, 
author = {Weaam Alhejaili and Munirah Alotaibi and Abdelraheem M. Aly},
title = {Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35432-35470},
keywords = {exothermic reaction, ANN model, ISPH method, Cattaneo-Christov, magnetic field},
url = {https://www.sciopen.com/article/10.3934/math.20241683},
doi = {10.3934/math.20241683},
abstract = {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&amp;Ch) on top/bottom walls and  (Tc&amp;Cc) on vertical walls and inner ellipse for C1. The boundary walls of a curvilinear cavity were kept at  (Th&amp;Ch) and the inner ellipse was maintained at  (Tc&amp;Cc) for C2. The pertinent parameters were scaled as Frank-Kamenetskii number  Fk(0−1,) Ca–Ch heat, mass transfer parameters  (δθ&amp;δΦ)(0−0.2), Hartmann number  Ha(0−60), buoyancy ratio parameter  N(−2−4), power law index parameter  n(1.1−1.4), Rayleigh number  Ra(103−105), Soret/Dufour numbers  (Sr&amp;Du)(0−0.5), and fusion temperature  θf(0.1−0.9). 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&amp;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.}
}