Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity
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 mode...
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2024-12-01
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| author | Weaam Alhejaili Munirah Alotaibi Abdelraheem M. Aly |
| author_facet | Weaam Alhejaili Munirah Alotaibi Abdelraheem M. Aly |
| author_sort | Weaam Alhejaili |
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| description | 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 $ \overline{Nu} $ and $ \overline{Sh} $ values. Two cases of boundary conditions included $ \left({T}_{h}\&{C}_{h}\right) $ on top/bottom walls and $ \left({T}_{c}\&{C}_{c}\right) $ on vertical walls and inner ellipse for C1. The boundary walls of a curvilinear cavity were kept at $ \left({T}_{h}\&{C}_{h}\right) $ and the inner ellipse was maintained at $ \left({T}_{c}\&{C}_{c}\right) $ for C2. The pertinent parameters were scaled as Frank-Kamenetskii number $ Fk\left(0-1, \right) $ Ca–Ch heat, mass transfer parameters $ \left({\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }}\right)(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({10}^{3}-{10}^{5}) $, Soret/Dufour numbers $ \left(Sr\&Du\right)(0-0.5) $, and fusion temperature $ {\theta }_{f}(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 $ {\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }} $ 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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| institution | Kabale University |
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| publishDate | 2024-12-01 |
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| spelling | doaj-art-16cfbd7ab73d43019f3dad645ce1ab862025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912354323547010.3934/math.20241683Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavityWeaam Alhejaili0Munirah Alotaibi1Abdelraheem M. Aly2Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaThe 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 $ \overline{Nu} $ and $ \overline{Sh} $ values. Two cases of boundary conditions included $ \left({T}_{h}\&{C}_{h}\right) $ on top/bottom walls and $ \left({T}_{c}\&{C}_{c}\right) $ on vertical walls and inner ellipse for C1. The boundary walls of a curvilinear cavity were kept at $ \left({T}_{h}\&{C}_{h}\right) $ and the inner ellipse was maintained at $ \left({T}_{c}\&{C}_{c}\right) $ for C2. The pertinent parameters were scaled as Frank-Kamenetskii number $ Fk\left(0-1, \right) $ Ca–Ch heat, mass transfer parameters $ \left({\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }}\right)(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({10}^{3}-{10}^{5}) $, Soret/Dufour numbers $ \left(Sr\&Du\right)(0-0.5) $, and fusion temperature $ {\theta }_{f}(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 $ {\delta }_{\theta }\&{\delta }_{\mathrm{\Phi }} $ 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.https://www.aimspress.com/article/doi/10.3934/math.20241683exothermic reactionann modelisph methodcattaneo-christovmagnetic field |
| spellingShingle | Weaam Alhejaili Munirah Alotaibi Abdelraheem M. Aly Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity AIMS Mathematics exothermic reaction ann model isph method cattaneo-christov magnetic field |
| title | Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity |
| title_full | Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity |
| title_fullStr | Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity |
| title_full_unstemmed | Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity |
| title_short | Integrated ISPH approach with artificial neural network for magnetic influences on double diffusion of a non-Newtonian NEPCM in a curvilinear cavity |
| title_sort | integrated isph approach with artificial neural network for magnetic influences on double diffusion of a non newtonian nepcm in a curvilinear cavity |
| topic | exothermic reaction ann model isph method cattaneo-christov magnetic field |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241683 |
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