Numerical simulation of flow around an orbiting cylinder at different ellipticity values

Baranyi, László (2008) Numerical simulation of flow around an orbiting cylinder at different ellipticity values. JOURNAL OF FLUIDS AND STRUCTURES, 24 (6). pp. 883-906. ISSN 0889-9746

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Abstract

This paper deals with the numerical simulation of low Reynolds number flow (Re=120–180) past a circular cylinder in orbital motion. The Navier–Stokes equations, pressure Poisson equations and continuity are written in primitive variables in a noninertial system fixed to the orbiting cylinder and solved by the finite difference method. Ellipticity values between 0 and 1.2 (from pure in-line oscillation through a full circle and beyond) were investigated. Sudden changes in state (jumps) are found when time-mean or root-mean-square values of force coefficients or energy transfer are plotted against ellipticity. Pre- and post-jump analysis was carried out by investigating limit cycles, time-histories, phase angles and flow patterns. These investigations revealed that ellipticity can have a large effect on the energy transfer between the incompressible fluid and a circular cylinder forced to follow an orbital path, and that small changes in the amplitude of transverse motion can have a dramatic effect. The phase angle was altered by about 180° at the jumps. Also investigated were the direction of orbit, which affects the state curves belonging to the time-mean values of lift only, and the effect of initial conditions, which alters the location of jumps without changing the state curves.

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