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Artificial neural networking estimation of skin friction coefficient at cylindrical surface: a Casson flow field

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Abstract

In this article, we constructed Artificial Neural Networking (ANN) models to predict values of the skin friction coefficient for two different flow regimes of non-Newtonian fluid. More specifically, flow of Casson fluid is considered toward an inclined surface with stagnation point and mixed convection effects. Energy equation is considered by means of thermal radiations, viscous dissipation, heat generation and temperature-dependent variable viscosity effects. The flow regime is carried as a two various models namely Model-I: Casson fluid flow in the presence of magnetic field and Model-II: Casson fluid flow in the absence of magnetic field. Mathematical formulation is presented for each model, and shooting method is used to obtain the numerical data of skin friction coefficient. In contrast to the Casson fluid, mixed convection, and velocities ratio parameters, the skin friction coefficient exhibits a direct relationship with the magnetic field parameter and the curvature parameter. The MoD values for both models (I, II) show that there is relatively little variation between targeted and the projected values produced from the constructed ANN models.

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Data Availability Statement

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

The authors would like to thank Prince Sultan University for their support through the TAS research lab.

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Authors and Affiliations

  1. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia

    Khalil Ur Rehman & Wasfi Shatanawi

  2. Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan

    Khalil Ur Rehman

  3. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan

    Wasfi Shatanawi

  4. Information Technologies Application and Research Center, Istanbul Commerce University, 34445, Istanbul, Turkey

    Andaç Batur Çolak

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  1. Khalil Ur Rehman
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Correspondence to Khalil Ur Rehman.

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Rehman, K.U., Shatanawi, W. & Çolak, A.B. Artificial neural networking estimation of skin friction coefficient at cylindrical surface: a Casson flow field. Eur. Phys. J. Plus 138, 69 (2023). https://doi.org/10.1140/epjp/s13360-023-03704-z

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