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Misconception about flight

According to 20th-century folklore, the laws of aerodynamics prove the bumblebee should be incapable of flight, as it does not have the capacity (in terms of wing size or beats per second) to achieve flight with the degree of wing loading necessary.

'Supposedly someone did a back of the envelope calculation, taking the weight of a bumblebee and its wing area into account, and worked out that if it only flies at a couple of metres per second, the wings wouldn't produce enough lift to hold the bee up,' explains Charlie Ellington, Professor of Animal Mechanics at Cambridge University.

The origin of this claim has been difficult to pin down with any certainty. John H. McMasters recounted an anecdote about an unnamed Swiss aerodynamicist at a dinner party who performed some rough calculations and concluded, presumably in jest, that according to the equations, bumblebees cannot fly.

In later years, McMasters backed away from this origin, suggesting there could be multiple sources, and the earliest he has found was a reference in the 1934 book Le Vol des Insectes by French entomologist Antoine Magnan (1881–1938); they had applied the equations of air resistance to insects and found their flight was impossible, but "One shouldn't be surprised that the results of the calculations don't square with reality". The following passage appears in the introduction to Le Vol des Insectes:

Magnan refers to his assistant André Sainte-Laguë.

Some credit physicist Ludwig Prandtl (1875–1953) of the University of Göttingen in Germany with popularizing the idea. Others say Swiss gas dynamicist Jakob Ackeret (1898–1981) did the calculations.

The calculations that purported to show that bumblebees cannot fly are based upon a simplified linear treatment of oscillating aerofoils. The method assumes small amplitude oscillations without flow separation. This ignores the effect of dynamic stall (an airflow separation inducing a large vortex above the wing), which briefly produces several times the lift of the aerofoil in regular flight. More sophisticated aerodynamic analysis shows the bumblebee can fly because its wings encounter dynamic stall in every oscillation cycle.

Additionally, John Maynard Smith, a noted biologist with a strong background in aeronautics, has pointed out that bumblebees would not be expected to sustain flight, as they would need to generate too much power given their tiny wing area. However, in aerodynamics experiments with other insects, he found that viscosity at the scale of small insects meant even their small wings can move a very large volume of air relative to their size, and this reduces the power required to sustain flight by an order of magnitude.