Journal
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
Volume 31, Issue 5-6, Pages 475-482Publisher
SPRINGER
DOI: 10.1007/s00162-016-0405-x
Keywords
Freely moving bodies; Fluid-structure interactions; Weakly nonlinear expansion
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We consider the flow past a sphere held at a fixed position in a uniform incoming flow but free to rotate around a transverse axis. A steady pitchfork bifurcation is reported to take place at a threshold leading to a state with zero torque but nonzero lift. Numerical simulations allow to characterize this state up to and confirm that it substantially differs from the steady-state solution which exists in the wake of a fixed, non-rotating sphere beyond the threshold . A weakly nonlinear analysis is carried out and is shown to successfully reproduce the results and to give substantial improvement over a previous analysis (Fabre et al. in J Fluid Mech 707:24-36, 2012). The connection between the present problem and that of a sphere in free fall following an oblique, steady (OS) path is also discussed.
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