Swimming of Gyrotactic Microorganism in MHD Williamson nanofluid flow between rotating circular plates embedded in porous medium: Application of thermal energy storage

Abstract

Purpose: The presence of thermal energy storage devices in concentrated solar power plants is advantageous for controlling power and energy demand. The capacity of materials used in total thermal energy storage is thought to improve their performance. As a result, we investigate the unsteady flow confined by parallel rotating circular plates in a porous media filled with Williamson nanofluid in the current study. The importance of fluid flow over circular plates is owing to the variety of physical mechanisms they contain. Technically, such flows are important in lubrication, rotating machinery, crystal formation processes, and viscometry. Nanoparticles and motile gyrotactic microorganisms are included in the Williamson fluid model. The inclusion of an extrinsic magnetic field, which causes the production of an induced magnetic field between two circular plates, influences the flow. The impact of magnetic fields on lubrication drew attention because of the critical functions they play in a variety of industrial applications. For instance, the increased utilization of liquid metal lubricants in high-temperature bearings. Design/methodology/approach: A numerical methodology known as the differential transform method is used to solve nonlinear differential equations. Computational software is utilized to handle coupled nonlinear problems utilizing the proposed technique. The Padé approximation is also employed with the suggested technique to improve the convergence rate. Findings: The tabular and graphical approaches are used to discuss the simultaneous impact of various characteristics. On the axial and tangential velocity profiles, the rotational Reynold number shows a reverse trend. The magnetic field in both axial and tangential direction decreases as the magnetic Reynold number is increased. The effects of Prandtl number cause the temperature distribution to decline; similar occurrences are found at larger values of squeezed Reynolds number. Squeezing Reynolds number values increase nanoparticle concentration and motile microorganism profile. Brownian motion and thermophoresis parameters indicate opposing patterns for nanoparticle concentration. The motile microorganism profile is reduced when the Peclet number is increased, whereas the microorganism profile is increased when the bioconvection Schmidt number is increased. Originality/value: The acquired results for the proposed mathematical modeling with DTM-Padé are new to the literature and are reported here for the first time.