Institute of Fluid Mechanics, Beihang University, Beijing 100191, China.
Phys Rev E. 2019 Jan;99(1-1):012419. doi: 10.1103/PhysRevE.99.012419.
Miniature insects fly at very low Reynolds number (Re); low Re means large viscous effect. If flapping as larger insects, sufficient vertical force cannot be produced. We measure the wing kinematics for miniature-insect species of different sizes and compute the aerodynamic forces. The planar upstroke commonly used by larger insects changes to a U-shaped upstroke, which becomes deeper as size or Re decreases. For relatively large miniature insects, the U-shaped upstroke produces a larger vertical force than a planar upstroke by having a larger wing velocity and, for very small ones, the deep U-shaped upstroke produces a large transient drag directed upwards, providing the required vertical force.
微型昆虫在非常低的雷诺数(Re)下飞行;低 Re 意味着大的粘性效应。如果像较大的昆虫那样拍打翅膀,就无法产生足够的垂直力。我们测量了不同大小的微型昆虫物种的翅膀运动学,并计算了空气动力学力。较大昆虫常用的平面上冲程变为 U 形上冲程,随着尺寸或 Re 的减小,U 形上冲程变得更深。对于相对较大的微型昆虫,U 形上冲程通过更大的翅膀速度产生更大的垂直力,而对于非常小的昆虫,深的 U 形上冲程产生向上的大瞬时阻力,提供所需的垂直力。