Abstract
This paper presents a comprehensive numerical investigation of the undamped, simultaneous in-line, and transverse flow-induced vibrations of two identical diamond cylinders (of cross-stream length D) in a tandem arrangement at a low Reynolds number (= 100) in uniform flow, using a stabilized space–time finite-element formulation. The study focuses on the effects of cylinder proximity and shape, considering diamond cylinders with a mass ratio of 10 and a separation distance of 5D and varying the reduced velocity from 1 to 20. The results reveal distinct lock-in behavior for the upstream and downstream cylinders, with a low-frequency extended lock-in phenomenon observed for the downstream cylinder. The motion trajectories of both cylinders exhibit a distinctive “raindrop-shaped” pattern. Notably, the synchronization zone shows a non-zero mean lift for a narrow range of reduced velocity. The study also identifies three distinct modes of vortex arrangement in the gap region between the cylinders. Comparing the findings for tandem diamond cylinders with those for single diamond and tandem square cylinders provides further evidence of the significant impact of proximity and shape on the vibration characteristics of the cylinders.
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