Radiation and rotation effects on MHD free convection flow of Jeffreys fluid over an infinite vertical absorbent plate

The study of thermal radiation and rotational effects on MHD free convection flow of Jeffreys fluid past an infinite, perpendicular, absorbent plate has significant applications in various fields due to the complex interactions among fluid dynamics, heat transfer, magnetic fields, and the unique properties of Jeffreys fluid. This research helps in understanding how radiation and magnetic fields influence the movement of fluids (such as plasma) in stars, nebulae, and other celestial bodies. Additionally, the effects of radiation and rotation can optimize cooling strategies using Jeffreys fluid for improved thermal management. In the present research paper, the influence of thermal radiation and rotation on a viscous, incompressible, electrically conducting Jeffreys fluid past an infinite, perpendicular plate with ramped wall temperatures has been investigated. The Laplace transform methodology is utilized to obtain systematic solutions. The study examines engineering parameters of interest, such as skin friction and Nusselt numbers, for both ramped wall temperatures and an isothermal plate. The velocity and temperature distributions are presented graphically for key governing parameters. It is observed that the velocity and temperature distributions for the isothermal plate are consistently higher than those for ramped wall temperatures. An increase in the Hartmann number, Prandtl number, and Jeffreys fluid parameters reduces the fluid velocity for both ramped wall temperatures and the isothermal plate. The physical characteristics of velocity and atmospheric depiction indicate an excess of fluid accumulation. However, an increase in rotational effects, along with a higher Grashof number, enhances fluid velocity due to the reinforcement of buoyancy forces. Hence, this study is valuable in engineering and geophysics, particularly in applications where the behavior of non-Newtonian fluids under thermal influences is critical, such as in lubrication, oil extraction, and chemical processing.