Linear instability of plane Couette and Poiseuille flows

Hydrodynamic Stability

This preprint challenges the established paradigm in hydrodynamic stability regarding the linear instability of plane Couette and Poiseuille flows. The traditional assumption of longitudinal periodicity of disturbances is questioned, leading to new theoretical predictions for critical Reynolds numbers. The authors provide an alternative model that agrees well with available experimental data. This work has the potential to reshape how we understand these fundamental flows and could lead to better predictions and control strategies for laminar-turbulent transitions. It does not appear to be a complete paradigm shift, as the fundamental equations governing fluid motion remain unchanged. The core change is in the assumptions about the disturbance field, suggesting it is more appropriately classified as Model Revolution.