Steady solutions of Rayleigh-Bénard convection between Navier-slip boundaries

This study investigates steady solutions of two-dimensional Rayleigh-B\'enard convection under Navier-slip boundary conditions, bridging the gap between classical no-slip and free-slip models. By systematically varying the slip length, the work reveals a critical range where the heat transport and flow strength are highly sensitive to the boundary slip. The findings uncover universal scaling laws and highlight the pivotal role of slip length in modulating boundary layer structures and optimizing heat-flux configurations, offering new insights into both theoretical fluid dynamics and practical microstructured surface applications.