Hydrodynamic damping of a circular cylinder at low KC: Experiments and an associated model

Hydrodynamic damping of an oscillating cylinder at small Keulegan–Carpenter numbers

“…Experimental uncertainties may easily contaminate the drag separated from the total in-line force measured in the experiment. This conjecture is supported by a recent experimental study conducted by Gao et al (2020) at β = 20 950, where the measured C d (not shown in this paper) agrees fairly well with both the S-W solution and the present studies at K ∼ 1. Significant deviations from the S-W solution are observed as K is decreased in Gao et al (2020), which contradicts the observations reported in the literature at similar β (Bearman & Mackwood 1992;Sarpkaya 2006a).…”

“…This conjecture is supported by a recent experimental study conducted by Gao et al (2020) at β = 20 950, where the measured C d (not shown in this paper) agrees fairly well with both the S-W solution and the present studies at K ∼ 1. Significant deviations from the S-W solution are observed as K is decreased in Gao et al (2020), which contradicts the observations reported in the literature at similar β (Bearman & Mackwood 1992;Sarpkaya 2006a). Secondly, Sarpkaya (2001) pointed out that the K r line was only an approximate boundary, depending on uncontrolled conditions in experiments, such as residual background turbulence, undesirable vibrations, nonlinear interaction of various types of perturbations, etc.…”

“…This conjecture is supported by a recent experimental study conducted by Gao et al. (2020) at , where the measured (not shown in this paper) agrees fairly well with both the S–W solution and the present studies at . Significant deviations from the S–W solution are observed as is decreased in Gao et al.…”

“…A second-order time integration method is employed, together with a velocity correction scheme in the Galerkin formula. Further details about these numerical schemes can be found in Karniadakis, Israeli & Orszag (1991), Guermond & Shen (2003, Blackburn & Sherwin (2004) and Vos et al (2011).…”

“…The typical K values for wave-induced motions of a typical tension leg platform and water intake risers of floating liquefied natural gas platforms are of the order of 0.01 and 1 respectively (e.g. Chaplin 2000;Sarpkaya 2006b;Gao et al 2020).…”