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Neural network-driven analysis of magnetized dissipative Ree-Eyring fluid flow with Cattaneo-Christov heat flux on a permeable surface
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DOI：10.1186/s11671-026-04815-z.png)
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Abstract
En 中文
This work investigates the magnetohydrodynamic flow of a dissipative Ree-Eyring fluid over a permeable stretching surface, subjected to an inclined magnetic field relative to the direction of fluid motion. Thermal transport is analyzed using the Cattaneo-Christov heat flux model, which accounts for thermal relaxation effects absent in the classical Fourier formulation. The flow regime further incorporates the influence of a Darcy-Forchheimer porous medium, introducing both linear and quadratic drag contributions to the momentum equation. The main equations have initially evaluated numerically through bvp4c approach in dimensionless form. The dataset generated through the bvp4c numerical scheme is subsequently employed to implement the artificial neural network (ANN) methodology. It has revealed as outcomes of this work that optimal convergence achieved through ANN approach at epochs 134, 205, and 275 across the three scenarios. Error histograms and fitness evaluation confirm solution stability, progressive improvement, and close alignment between predicted and expected values. With growth in Weissenberg number $$\left( {We} \right)$$ , magnetic parameter $$\left( M \right)$$ , Darcy Forchheimer factor $$\left( {Fr} \right)$$ and porosity parameter $$\left( K \right)$$ there is decline in velocity $$\left\{ {f^{\prime}\left( \eta \right)} \right\}$$ . Thermal distribution $$\left\{ {\theta \left( \eta \right)} \right\}$$ augmented with growth in radiation parameter $$\left( {Rd} \right)$$ , Brownian motion parameter $$\left( {Nb} \right)$$ , thermo-phoresis parameter $$\left( {Nt} \right)$$ , heat source/sink factor $$\left( Q \right)$$ while declined with higher Prandtl number $$\left( {\Pr } \right)$$ and thermal relaxation time parameter $$\left( \delta \right)$$ .
Keywords:
Magnetohydrodynamic (MHD)
Ree-Eyring fluid
Cattaneo-Christov heat flux model
Stretching surface
Darcy-Forchheimer porous medium
Thermal radiation
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