MHD gyrating stream of non-Newtonian modified hybrid nanofluid past a vertical plate with ramped motion, Newtonian heating and Hall currents

In this modern era, the thermal efficiency of susceptible systems is a major concern in many scientific and technical operations. Hybridized nanomaterials have innovative behaviours, which make them significant in various applications. Hybrid nanofluids (HNFs) are primarily utilized to address heat transfer concerns efficiently. Keeping view of these facts, the main motive of the current investigation is to address the critical role of magnetohydrodynamics with Hall currents on a time-dependent gyrating stream of non-Newtonian modified hybrid nanofluid (MHNF) with Casson fluid model past a vertically fluctuating plate with ramped motion, and Newtonian heating in a porous environment. As a counter-example to Casson fluid, sodium alginate (SA) is considered. Graphite oxide, alumina and copper oxide nanoparticles are dispersed in the host fluid (SA) to constitute a MHNF. Thermal transportation is analysed under the physical consequence of thermal radiation. Darcy's law is utilized to counterfeit the porous medium's resistance in the flow field. The modelled problem is initially expressed in terms of physical conditions and partial differential equations (PDEs). The resulting dimensionless PDEs are solved analytically by dint of the Laplace transform technique. The physical consequences of significant physical and geometrical parameters on the profiles of associated flow quantities of industrial concern are visualized and explained in-deep via several graphs and tables. Our simulation reveals that the fluid motion is noteworthy amended due to the existence of Coriolis and Lorentz forces with Hall currents. Hall currents and Darcian drag force have a dominating attribute on the primary shear stress, while they expose a positive response to the secondary shear stress. Comparative analysis suggests that the heat migration rate at the plate is superior for MHNF due to higher thermal conductivity than usual HNF. The ongoing research is relevant to hybrid nanolubricants in thermal management systems, dynamics of nanopolymers, industrial procedures and so forth.