Many species of fish and birds travel in intermittent style, yet the combined influence of intermittency and other body kinematics on the hydrodynamics of a self-propelled swimmer is not fully understood. By formulating a reduced-order dynamical model for intermittent swimming, we uncover scaling laws that link the propulsive performance (cursing Reynolds number Re_c, thrust T̄, input power P̄ and cost of transport COT to body kinematics (duty cycle DC, flapping Reynolds number Re_f). By comparing the derived scaling laws with the data from several previous studies and our numerical simulation, we demonstrate the validity of the theory. In addition, we found that Re_c, T̄, P̄ and COT all increase with the increase of DC, Re_f. The model also reveals that the intermittent swimming may not be inherently more energy efficient than continuous swimming, depending on the ratio of drag coefficients between active bursting and coasting.

许多鱼类和鸟类以间歇方式游动，但间歇性和其他身体运动学对自走式游泳者的流体动力学的综合影响尚不完全清楚。通过制定间歇性游泳的降阶动力学模型，我们揭示了将推进性能（诅咒雷诺数Re _c、推力 T̄、输入功率 P̄ 和运输成本COT与身体运动学（占空比DC、扑动雷诺数）联系起来的标度法则Re _f )。通过将推导的标度定律与之前的几项研究和我们的数值模拟的数据进行比较，我们证明了该理论的有效性。此外，我们发现Re _c、T̄、P̄ 和COT都随着 的增加而增加DC，Ref _.该模型还表明，间歇游泳本质上可能并不比连续游泳更节能，具体取决于主动爆发和滑行之间的阻力系数之比。