Criteria for dynamic stall onset and vortex shedding in low Reynolds number flows

Abstract

Dynamic stall at low Reynolds numbers, $\mathit{Re} \sim \mathcal{O}(10^4)$, exhibits complex flow physics with co-existing laminar, transitional, and turbulent flow regions. Current state-of-the-art stall onset criteria use parameters that rely on flow properties integrated around the leading edge. These include the leading edge suction parameter or $\mathit{LESP}$ (Ramesh et al., 2014) and boundary enstrophy flux or $\mathit{BEF}$ (Sudharsan et al., 2022)), which have been found to be effective for stall onset at moderate to high $\mathit{Re}$. However, low $\mathit{Re}$ flows feature strong vortex shedding events occurring across the entire airfoil surface, including regions away from the leading edge, altering the flow field and influencing the onset of stall. In the present work, the ability of these stall criteria to effectively capture and localize these vortex shedding events in space and time is investigated. High-resolution large-eddy simulations for an SD7003 airfoil undergoing a constant-rate, pitch-up motion at two $\mathit{Re}$ (10, 000 and 60, 000) and two pitch rates reveal a rich variety of unsteady flow phenomena, including instabilities, transition, vortex formation, merging, and shedding, which are described in detail. While stall onset is reflected in both $\mathit{LESP}$ and $\mathit{BEF}$, local vortex-shedding events are identified only by the $\mathit{BEF}$. Furthermore, these events can be localized in space and time by considering the contributions to the $\mathit{BEF}$ from different airfoil sections, which holds significant promise for effective flow control.