Neural networking analysis for MHD mixed convection Casson flow past a multiple surfaces: A numerical solution

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11 Scopus citations

Abstract

The heat and mass transfer within non-Newtonian fluid flow results in complex mathematical equations and solution in this regard remains a challenging task for researchers. The present paper offers a numerical solution for the non-Newtonian flow field by using Artificial neural networking (ANN) model with the Levenberg Marquardt training technique. To be more specific, we considered thermally magnetized non-Newtonian flow headed for inclined heated surfaces. The flow is carried with viscous dissipation, stagnation point, heat generation, mixed convection, and thermal radiation effects. The concentration aspects are entertained by the owing concentration equation. The shooting method is used to solve the mathematical flow equations. The quantity of interest includes the temperature and heat transfer coefficient. Two different artificial neural networking models have been built. The training of networks is done by use of the Levenberg Marquardt technique. The values of the coefficient of determination suggest artificial neural networks as the best method for predicting the Nusselt number at both surfaces. The thermal radiation parameter and Prandtl number admit a direct relationship to the Nusselt number while the differing is the case for variable thermal conductivity and Casson parameters. Further, by using Nusselt number (NN)-ANN models, we found that for cylindrical surface, the strength of the NN is greater than the flat surface.

Original languageEnglish
Pages (from-to)15805-15823
Number of pages19
JournalAIMS Mathematics
Volume8
Issue number7
DOIs
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 the Author(s), licensee AIMS Press.

Keywords

  • Levenberg-Marquardt algorithm
  • heat transfer
  • mixed convection
  • neural networking
  • shooting method
  • thermal radiations

ASJC Scopus subject areas

  • General Mathematics

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