Solar Energy Storage Optimization Using Fractional Derivative Simulations of Maxwell Hybrid Nanofluid Flow: Entropy Generation Analysis

ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol and water‐based fluid. The fundamental governing equations are formulated and simulated with a novel fractional derivative approach. The time‐fractional derivatives are approximated with the Atangana–Baleanu Caputo solution approach and discretized using the Crank–Nicolson type finite differences scheme. Graphical results present the outcomes of diverse physical parameters for the concentration, temperature, and velocity profile. The primary outcomes revealed that the bioconvection diffusion declines as fractional parameters escalate, and this Atangana–Baleanu Caputo definition gives an excellent approximation of the time derivative. The temperature and velocity profile are enhanced with increased radiation parameter, whereas concentration decreases with increased chemical reaction parameter. The resulting nanofluid provides a well‐balanced blend of thermal efficiency, uniformity, and operational flexibility that would be impossible to achieve with a single base fluid through the complementary properties of ethylene glycol and water. This characteristic contributes to the improved efficiency of heat transfer in solar collectors. Optimizing the radiation absorption in solar collectors is essential for improving the performance and efficiency of the solar thermal collectors to reduce thermal energy losses.