Flag models as vortex generators for enhanced heat transfer in laminar channel flows
Phys. Rev. Fluids 11, 044103 – Published 17 April, 2026
DOI: https://doi.org/10.1103/8t3k-w3rj
Abstract
Flag models have recently emerged as promising flexible vortex generators for enhancing heat transfer in laminar channel flows; however, systematic comparative studies of their thermohydraulic performance remain limited. In this work, a comprehensive numerical investigation is conducted on three representative flag configurations—the standard flag model (SFM), the inverted flag model (IFM), and the wall-mounted flag model (WFM)—to examine their heat transfer enhancement characteristics over a wide range of bending stiffnesses (), channel Reynolds numbers (Re), and vertical placements (). The comparative analysis reveals that the three models enhance heat transfer through distinct vortex-generation mechanisms. The SFM is dominated by wake-induced mixing, the IFM by leading-edge-generated coherent vortices with deep core penetration, and the WFM by persistently wall-attached vortical motions that strongly interact with the thermal boundary layer. The bending stiffness determines whether unsteady flapping dynamics can be activated, while Re and further regulate the coherence and transport effectiveness of the induced vortical structures once such dynamics are established. For all three configurations, the heat transfer efficiency increases with Re; however, the location of the high-efficiency regime in the parameter space is strongly configuration dependent. Among the three models, the IFM achieves the highest peak heat transfer efficiency with its high-efficiency region occurring at intermediate values and high Re. Nevertheless, this superior performance is confined to a relatively narrow operating window and exhibits pronounced sensitivity to . In contrast, the WFM exhibits a broader and more robust high-efficiency regime at comparatively larger bending stiffness under high-Re conditions, whereas the SFM provides more modest enhancement with weaker sensitivity to parameter variations. Overall, these results clarify how flag-induced dynamics and vortex organization govern thermal transport in laminar channel flows.