A 1 μm bacterium, 10 cm fish and 10 m whale each swim one body length per second in water. Their Reynolds numbers are R1,R2,R3 respectively. Which ordering holds?
Reynolds number is ρvL/μ. In the same fluid, ρ and μ are common. The stipulated speed v equals L per second, so Re is proportional to L². The lengths increase strongly from bacterium to fish to whale, giving R1<R2<R3, B.
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