Flow optimization and irreversibility reduction in electroosmotic MHD Buongiorno nanofluid systems within complex wavy arteries for biological fluids

Abstract This study examines the optimization of flow and reduction of irreversibility in electroosmotic magnetohydrodynamic (MHD) Buongiorno nanofluid systems within complex wavy arteries for biological fluids. The research focuses on the coupled effects of electroosmotic forces and MHD on nanofluid behavior in biologically relevant geometries. By employing Buongiorno’s model for nanofluids, which accounts for both Brownian motion and thermophoresis, we analyze the transport phenomena within a non-Newtonian fluid environment typical of biological fluids. The complex wavy structure of arteries is modeled to reflect realistic physiological conditions, emphasizing the impact of arterial geometry on flow characteristics. Nanoparticles move randomly due to thermal energy and temperatures gradient, influencing flow efficacy and irreversibility. Complex peristaltic waves may form on infected vein walls. In electro-osmotic magnetohydrodynamics, the MHD flow field and irreversibility system are simulated mathematically. We studied the long-wavelength, low-Reynolds-number approximation. The nonlinear model of partial differential equations (PDEs) is approximated utilizing Adomian decomposition methodology (ADM). System irreversibility and entropy creation are also analyzed. Biophysical and thermal flow properties are displayed and explained. Increased nanofluid particle interfacial lengths boost Bejan counts. Developing Brownian and thermophoresis diffusion increases the Bejan numbers, which is essential. The Jeffery and Debye–Huckel parameters reduce the movement energy of particles, which decreases the temperature and entropy rate of the nanofluid, while the other factors increase the movement energy.