Influence of nanoparticles and slip constraints on convective flow over a rotating cone with thermal radiation and porous media: insights into industrial cooling systems

This study explores the influence of thermal radiation and slip constraints on the convective flow of an electrical conducting nanofluid over a porous rotating cone. The thermal behavior is analyzed at the molecular level focusing on nanoparticles such as copper–water nanofluid. The geometry is examined in two phases: Phase I considers linear surface temperature (LST), while phase II focuses on linear surface heat flux (LSHF) within a convective nanofluid framework. Using similarity variables, the governing equations are transformed into coupled nonlinear ordinary differential equations, which are solved using the homotopy analysis method (HAM) and the convergence-accelerated decomposition method (CADM). The impacts of various physical parameters on velocity, temperature, skin friction coefficient, and Nusselt number are discussed through graphs and tabular form. The study demonstrates that tangential velocity and temperature profiles enhance with an increase in the thermal radiation parameter. Moreover, the slip parameter is found to reduce skin friction, while the Nusselt number shows an improvement. The flow behavior generated by the rotating cone is further depicted through streamlined patterns. The current study results align closely with existing literature and establish good agreement.