Abstract:
Fluid-solid boundary conditions are one of the core issues in fluid mechanics. As a canonical technique, slip boundaries have been widely applied in flow control. This paper reviews the evolution of slip boundary theory from classical linear steady-state models to high-Reynolds-number spatiotemporal frameworks, revealing its paradigm shift from a mathematical apparent boundary condition to multiscale hydrodynamic systems constituted by multiphase interfaces. Firstly, regarding theoretical modeling of slip boundaries, the linear Navier-slip model and other parameter determination methods are outlined, including fundamental solution superposition, multiscale homogenization, and dimensional analysis. Meanwhile, this paper focuses on the multiphase multiscale coupling effects at high Reynolds numbers, proposing feasible unsteady slip modeling approaches such as time integration and modal decomposition. Secondly, from the perspective of flow control mechanisms, the mechanisms of steady-state and spatiotemporal slip boundaries in turbulent drag reduction, transition delay, and flow structure modulation are discussed, emphasizing the critical role of spatiotemporal coupling effects in slip boundary failure and their potential for flow control. However, Current challenges lie in insufficient understanding of multiphase multiscale interactions in spatiotemporal slip boundaries and the absence of constitutive models for macroscopic flow prediction. Future research should employ modal decomposition to elucidate cross-scale interactions, integrate homogenization and data-driven methods for slip constitutive modeling and parameter identification, and design failure-suppression and active-control strategies for spatiotemporal slip boundaries, exploring innovative applications in marine engineering.