Computational Analysis on Magnetized and Non-Magnetized Boundary Layer Flow of Casson Fluid Past a Cylindrical Surface by Using Artificial Neural Networking

Khalil Ur Rehman (), Wasfi Shatanawi and Andaç Batur Çolak
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Khalil Ur Rehman: Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Wasfi Shatanawi: Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Andaç Batur Çolak: Information Technologies Application and Research Center, Istanbul Commerce University, Istanbul 34445, Turkey

Mathematics, 2023, vol. 11, issue 2, 1-25

Abstract: In this article, we constructed an artificial neural networking model for the stagnation point flow of Casson fluid towards an inclined stretching cylindrical surface. The Levenberg–Marquardt training technique is used in multilayer perceptron network models. Tan–Sig and purelin transfer functions are carried in the layers. For better novelty, heat and mass transfer aspects are taken into account. The viscous dissipation, thermal radiations, variable thermal conductivity, and heat generation effects are considered by way of an energy equation while the chemical reaction effect is calculated by use of the concentration equation. The flow is mathematically modelled for magnetic and non-magnetic flow fields. The flow equations are solved by the shooting method and the outcomes are concluded by means of line graphs and tables. The skin friction coefficient is evaluated at the cylindrical surface for two different flow regimes and the corresponding artificial neural networking estimations are presented. The coefficient of determination values’ proximity to one and the low mean squared error values demonstrate that each artificial neural networking model predicts the skin friction coefficient with high accuracy.

Keywords: Casson fluid; mixed convection; thermal radiations; shooting method; artificial neural networking; Levenberg–Marquardt technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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