The current model outlines the properties of a micropolar hybrid nanofluid (titanium dioxide-copper/water) flowing through an inclined wavy porous cavity. The Cattaneo-Christov equation is utilized to describe the heated circular obstacle and heat flux within the cavity. Additionally, thermal radiation is taken into account. Buoyancy, which is affected by a consistent magnetic field ( \(B_{0}\) ) at an angle and heat radiation ( \({\text{Rd}}\) ), is the primary force that drives the flow. The temperature of the left and right walls of the cavity is lower compared to the other sides, which are insulated and contain a heated circular obstacle. The governing partial differential equations (PDEs) are solved using the finite difference approach and are expressed in terms of streamlines, isotherms, iso-micro-rotations, vertical and micropolar velocity, average and local Nusselt number. The obtained results are confirmed with prior numerical investigations. The paper discusses several characteristics, including the heat source, Hartmann number, thermal radiation, undulations, vortex viscosity parameter, and radius of the circular obstacle. As the heat-generating parameter rises, the vertical and horizontal walls observe a corresponding rise in the local Nusselt number. The vertical and micropolar velocities exhibit a diminishing trend as the Hartmann number ( \({\text{Ha}}\) ) values increase. The average Nusselt number increases as the value of thermal radiation ( \({\text{Rd}}\) ) rises. Wavy cavity analysis is employed in applications like cooling systems, building design, and cable systems. This research facilitates innovative cooling technologies for high-performance computing, renewable energy systems, and next-generation automotive thermal management.
