Dynamical behaviour of magneto-copper-titania/water-ethylene glycol stream inside a gyrating channel

Abstract

Inspired by the latest deeds of nanomaterials and their novel features in science and engineering sectors, a detailed mathematical model is presented to investigate an unsteady magneto-buoyancy-driven flow of a non-Newtonian (Casson model) chemically bonded hybrid nano liquid (copper-titania/water-ethylene glycol mixture) streaming through a gyrating channel with fluctuating wall temperature and concentration confined by the porous regime. Hybridized nanoparticles (copper-titania) are dispersed into the water-ethylene glycol mixture (vol.60–40%) hybrid base Casson liquid. Hall currents, porous resistance, thermal radiation, and Dufour impacts are hypothesized in the flow system. This model’s governing partial differential equations are derived from the generic laws of conservation of momentum, energy, and mass. These derived equations are rendered dimensionless by incorporating the normalization variables and parameters. The solutions of the dimensionless transport equations are realized in the closed-form followed by an analytical approach. The stipulated graphs and tables are designed to scrutinize the physical and theoretical upshots of a variety of essential system parameters on the critical dynamical functions or variables. Our simulation results based on set parameters disclose that Hall currents have a propensity to accelerate the fluid flow in the vertical direction and lessen the magnitude of the fluid velocity along the cross-flow direction. Amplifying frequency parameter recommends a diminution in the temperature and concentration profiles. The pattern of streamlines, heatlines, and masslines is drawn to envisage the flow and transport features in the gyrating channel. The novelty of this thermal model is that significance of rotating hybrid suspension and dominating magnetic field along with Hall currents is identified. Due to the rotation of the system, the flow is noticeably amended by the centrifugal and Coriolis forces. The present model is, of course, of great practical and technological importance, for example, chemical engineering, material science, mineral and cleaning oils manufacturing, and plastic and polymer industries.