Numerical and Artificial Neural Network Model for Williamson Fluid Flow over a Stretching Sheet under Inclined Magnetic Field and Radiation

Document Type : Research Paper

Authors

Department of Mathematics, PSG College of Arts and Science, Coimbatore-641014, Tamil Nadu, India.

Abstract

Potential developments of Williamson fluid flow across porous media included plasma mechanics, blood transport, bio-thermal engineering, medication delivery, and tissue temperature perception. The benefits of these results are evident in the biomedical fields of tissue engineering and tissue replacement, where porous scaffolds improve blood flow across biological tissues and address organ shortages. In the fluid flow model, velocity Uw(x) = ax is influenced by an inclined magnetic field and radiation effect at an angle of α over the stretching surface, with the temperature, concentration, and velocity slips present. Relevant partial differential equations were transformed into ordinary differential equations by the conversion of similarity. The MATLAB module implements the BVP4C solver computationally to determine these ODEs. The current discoveries constitute a remarkable extension of previous results. As the magnetic parameter rises, the Lorentz force acting on the fluid flow reduces the velocity distribution. The temperature profile minimized as the Prandtl number improved because of a reduction in the thickness of the thermal boundary layer. In addition, the proposed innovative work for a machine learning-based multiple linear regression improves the accuracy to 95%. In the end, employing an artificial neural network technique yields highly dependable validation and 99% correct forecasts for such scenarios by locating accurate data for amounts of interest. The exact quality of the prediction and verification of the present result is ultimately verified and confirmed by a graph and tabular data for comparison with the prior outcomes.

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Articles in Press, Accepted Manuscript
Available Online from 15 September 2025
  • Receive Date: 12 June 2024
  • Revise Date: 24 July 2025
  • Accept Date: 10 September 2025