The Scruton number Sc is an important parameter for vortex-induced vibration (excitation) of structures, vibrations caused by rain or wind, dry inclined cable galloping, and wake galloping, the unstable airflow that forms around bridge cables and other cylindrically-structured buildings.[1] It is named after Christopher "Kit" Scruton, a British industrial dynamics engineer.[2][3]
It is defined by:[4]
where
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is the structural damping expressed by the logarithmic damping decrement,
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is the effective mass per unit length,
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is the density of the air, or liquid,
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is the characteristic width of the structure.
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References