Slip driven and entropy generation dynamics of unsteady Jeffrey tri‐hybrid nanofluid in Darcy media with modified MHD and Cattaneo–Christov heat transfer model

Abstract Modeling hypothetical phenomena with a Jeffrey tri‐hybrid fluid across a rotating disk is the primary goal of the operation that is now being carried out. In this phase of progress, optimization of a numerical approach called Runge–Kutta–Fehlberg method to fabricate a Cattaneo—Christov heat flux, entropy generation, and non‐linear thermal radiation has been facilitated. To make sure that the appropriate self‐similarity variables have been utilized for transforming a collection of non‐linear PDE equations into an ODE. The model's study findings, with a few notable exceptions, generally align with those from earlier studies included in the dataset model. The visually appealing outcomes for various profiles reflect the effects of the active elements. This illustrates how the velocity profiles decline with increasing exponential index parameter, Deborah number, and velocity slip factors, creating a paradox with increasing modified magnetic inputs. Also, the temperature profile's tilting of the thermal relaxation and thermal slip indicates inclination. There is an increase in entropy and Bejan for the temperature ratio parameter, whereas certain aspects have an effect on the skin friction and Nusselt numbers, respectively. Furthermore, radiation is known to increase the Bejan number by enhancing heat transfer dominance, although it does not directly affect the Brinkman number. As an output of their lengthier duration, the nanoparticles that were used in this study may possess qualities like electrical conductivity, magnetic responsiveness, antibacterial activity, and improved strength, which would make them flexible for a variety of applications in both the industrial and residential sectors.