摘要
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 Rec,thrust T̄,input power P̄and cost of transport COT to body kinematics(duty cycle DC,flapping Reynolds number Ref).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,P̄and COT all increase with the increase of DC,Ref.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.
基金
Project supported by the National Key Research and Development Program of China(Grant No.2022YFC2805200)
the National Natural Science Foundation of China(Grant No.12102365)
supported by the Startup Funding of New-joined PI of Westlake University(Grant Nos.041030150118,103110556022101),the Scientific Research Funding Project of Westlake University(Grant No.2021WUFP017).