A time-fractional model of hydromagnetic slip flow of viscous fluid in rotational frame with heat and mass transfer

This study investigates the unsteady fluctuations of a conducting Newtonian viscous fluid in a rotating frame influenced by an unsteady hydromagnetic free-stream flow, while also accounting for chemical reactions and heat absorption. The flow regime is modeled using partial differential equations. In contrast to previous research, this study employs a fractionalized dimensionless system of equations based on the newly developed Caputo-Fabrizio derivative. The dimensionless profiles for velocity, temperature, and concentration are solved accurately using the Laplace transform. The effects of various parameters are illustrated graphically and discussed in detail. Additionally, their influences are summarized in a table. Key observations reveal that as Hall current increases, primary velocity decreases when near the plate, but subsequently increases as the fluid moves away. Furthermore, skin friction shows a notable increase with rotation. Buoyancy forces not only enhance skin friction but also grow over time, while heat absorption leads to a reduction in fluid temperature.