Hybrid nanofluid-based targeted drug delivery system for tumor therapy under magnetic and thermal control

This research investigates the dynamic behavior of unsteady squeezing flow involving a non-Newtonian nanofluid permeating through a porous medium confined between two parallel plates, with particular emphasis on the influence of Hall currents and an internal heat source. The governing partial differential equations are reformulated into nonlinear ordinary differential equations using similarity transformations. Analytical solutions are derived employing advanced techniques such as the Homotopy Perturbation Method, Akbari-Ganji Method, and numerical solutions via the fourth-order Runge-Kutta method (RK4), all implemented in Python with the aid of its computational capabilities. Notably, the SymPy library is utilized to handle symbolic computations. The study provides a comprehensive analysis of axial velocity, radial velocity, temperature, and nanoparticle concentration distributions under varying parameter conditions. Key findings indicate that an increase in the Prandtl number or heat source intensity elevates the temperature, while a higher thermophoretic parameter results in reduced nanoparticle concentration. The minimum errors for velocity, temperature, and concentration are 2×10^-8, while that for radial velocity is 1×10^-8. The findings have potential applications in various fields such as industry, biology, and biomedical engineering (including drug delivery and photothermal therapy).