A multi-scale artificial intelligence fractal convection diffusion in a porous nanofiber membrane

This paper examines the fascinating phenomenon of fractal convection-diffusion in a porous nanofiber membrane. A multi-scale artificial intelligence model has been developed, in which the temporal Caputo fractional derivative, the spatial Riesz fractional derivative, and the traditional derivative for the convection process have been employed. The convection-diffusion process exerts a significant influence on the permeability of the nanofiber membrane. This paper examines the influence of the convection process on the permeability of the membrane. The findings indicate that when the fluid velocity is minimal, the diffusion process assumes control. However, when a certain threshold is reached, the convection process assumes dominance, accelerating the permeability process. The direction of the fractal convection-diffusion process is predominantly influenced by the direction of the fluid-flow.