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Efficient cruising for swimming and flying animals is dictated by fluid drag

Efficient cruising for swimming and flying animals is dictated by fluid drag

Many swimming and flying animals are observed to cruise in a narrow range of Strouhal numbers, where the Strouhal number ${St = 2fA/U}$ is a dimensionless parameter that relates stroke frequency $f$, amplitude $A$, and forward speed $U$. Dolphins, sharks, bony fish, birds, bats, and insects typically cruise in the …