Boundary layer slip flow and heat-mass transfer of radiated water based nanofluid over a permeable disk: Darcy-Forchheimer model and activation energy

This research highlights the Bödewadt boundary layer flow problem over a static permeable stretching disk uncovering the mass and heat transfer characteristics of tangent hyperbolic nanofluid (THNF) flow. The flow of a copper-water based THNF flow over a permeable stretching disk subject to Darcy-Forchheimer permeable model, activation energy and thermo-diffusion phenomena. The principal objective is to compare the effectiveness of heat-mass transfer features of THNF taking the velocity slip, nonlinear thermal radiation, activation energy, and melting heat effects. The Darcy-Forchheimer model incorporates inertial and porosity effects in momentum conservation. The Dufour-Soret, activation energy and viscous dissipation are considered in heat and mass transfer equations. The system of equations governing the system is solved computationally using the Runge-Kutta (RK-4) method. The results demonstrate that porosity, rheological factors, slip effects, and the Forchheimer parameter decline the flow profile near a disk surface. The thermal profile uplifts with Dufour, radiant, Weissenberg, and Forchheimer numbers, while a conflicting trend is seen against the power-index number. The mass concentration profile uplifts with Soret and activation energy, while the opposite result is seen against the chemical reaction rate. The addition of copper nanoparticles improves the lubricating effects at the boundary and thus increases skin friction. Furthermore, substantial enhancements in the Nusselt and Sherwood numbers occur with a 3 % load of copper nanomaterial. •Our study's distinctiveness lies in:•The Bödewadt problem in the context of the Darcy-Forchheimer model and activation energy is analyzed.•The study discusses the mass and heat transfer characteristics of a tangent hyperbolic nanofluid flow over a static stretching disk.•The equations governing the system are solved computationally using the Runge-Kutta (RK-4) method.•The addition of copper nanoparticles improves the lubricating effects at the boundary and thus increases skin friction.•Static disks play an important role in automobile engines such as fly wheel for energy preservation.