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    Wake of colliding initially tandem cylinders undergoing vortex-induced vibrations at varying mass ratios

    Sandip Sarkar

    Arnab Kumar De*

    • *Contact author: akd@iitg.ac.in

    Phys. Rev. Fluids 11, 024702 – Published 23 February, 2026

    DOI: https://doi.org/10.1103/w39b-1btj

    Abstract

    This study examines the effect of mass ratio (m*) on vortex-induced vibrations of circular cylinders initially in tandem arrangement undergoing rigid collision. A finite volume approach with a diffuse interface immersed boundary method analyzes wake dynamics at an initial gap ratio g/d=1.5, over the reduced velocity range 3≤U*≤15, and Reynolds number Re=200. The structural response reveals a monotonically increasing amplitude (Ay*) with U*, indicative of lock-in within the synchronization regime before saturating beyond U*≈10, while a systematic decrease in Ay* with rising m* highlights the greater inertial resistance of heavier structures. Results show a transition from chaotic wakes at m*=1 to organized vortex patterns at higher m*. At low m*, collisions induce irregular shedding and nonlinear oscillations. As m* increases, wake patterns stabilize into periodic modes, leading to organized displacement. The upstream cylinder undergoes strong sign reversals in the time-average lift coefficient, while the downstream cylinder largely assumes the opposite sign due to gap-flow deflection and shielding, with matching signs occurring only at pinned, near side-by-side collision states where the wake momentarily reorganizes into a symmetric dipole. Across all m*, the circulation (Γz) strength increases with U* and peaks near U*≈6, then declines, with heavier cylinders consistently yielding higher Γz. Phase-space analysis shows irregular interactions at low m*, stabilizing into consistent antiphase synchrony as m* increases.

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