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Related papers: Optimal Strouhal number for swimming animals

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Many swimming and flying animals are observed to cruise in a narrow range of Strouhal numbers, where the Strouhal number ${St = 2fA/U}$ is a dimensionless parameter that relates stroke frequency $f$, amplitude $A$, and forward speed $U$.…

Fluid Dynamics · Physics 2019-04-11 Daniel Floryan , Tyler Van Buren , Alexander J. Smits

A fin-body configuration is tested in a water tunnel to study the hydrodynamic loads and vortex evolution under dynamic fin-flapping motions, which is an idealized approximation of the pectoral fins of fish. The fin flaps about its leading…

Fluid Dynamics · Physics 2026-04-24 Xiaowei He , Kenneth Breuer

Due to its great efficiency and maneuverability, undulatory swimming is the predominant form of locomotion in aquatic vertebrates. A myriad of animals of different species and sizes oscillate their bodies to propel themselves in aquatic…

Fluid Dynamics · Physics 2026-01-26 Jesús Sánchez-Rodríguez , Christophe Raufaste , Mederic Argentina

Natural selection has tuned many flying and swimming animals across different species to share the same narrow design space for optimal high-efficient and energy-saving locomotion, e.g., their dimensionless Strouhal numbers St that relate…

Applied Physics · Physics 2022-04-13 Yinding Chi , Yaoye Hong , Yao Zhao , Yanbin Li , Jie Yin

Fish schools are capable of simultaneous linear acceleration. To reveal the underlying hydrodynamic mechanism, we numerically investigate how Reynolds number $ Re = 1000 - 2000 $, Strouhal number $ St = 0.2 - 0.7 $ and wavelength $ \lambda…

Inspired by the snap-through action of a steel hairclip, we propose a design method for in-plane prestressed mechanisms that exhibit biomimetic morphing and high locomotion performance. Compliant bistable flapping mechanisms are fabricated…

Robotics · Computer Science 2023-11-07 Zechen Xiong , Liqi Chen , Wenxiong Hao , Yufeng Su , Hod Lipson

Fish locomotion emerges from a diversity of interactions among deformable structures, surrounding fluids and neuromuscular activations, i.e., fluid-structure interactions (FSI) controlled by fish's motor systems. Previous studies suggested…

Robotics · Computer Science 2023-07-18 Hankun Deng , Donghao Li , Colin Nitroy , Andrew Wertz , Shashank Priya , Bo Cheng

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

Scaling laws for the propulsive performance of rigid foils undergoing oscillatory heaving and pitching motions are presented. Water tunnel experiments on a nominally two-dimensional flow validate the scaling laws, with the scaled data for…

Fluid Dynamics · Physics 2017-06-09 Daniel Floryan , Tyler Van Buren , Clarence W. Rowley , Alexander J. Smits

We determine the Strouhal number (hereafter St), which is essentially a nondimensional measure of the correlation time, from numerical calculations of convection. We use two independent methods to estimate St. Firstly, we apply the minimal…

Astrophysics · Physics 2008-11-26 P. J. Käpylä , M. J. Korpi , M. Ossendrijver , I. Tuominen

Fish swimming style and schooling behaviour are two important aspects of underwater locomotion. How swimming style affects fish schooling is investigated by a representative problem setup consisting of two tethered NACA0012 hydrofoils…

Flow oscillations in the near-wake region of a 2D circular cylinder are experimentally investigated at Mach 6 over the Reynolds number range $2.3\times10^5$ to $5\times10^5$. The oscillation frequency is obtained by spectral proper…

Fluid Dynamics · Physics 2023-08-01 Premika S. Thasu , Subrahmanyam Duvvuri

This study experimentally investigates the pressure fluctuations of liquids in a column under short-time acceleration and demonstrates that the Strouhal number $St$ [$=L/(c\Delta t)$, where $L$, $c$, and $\Delta t$ are the liquid column…

Fluid Dynamics · Physics 2025-01-22 Chihiro Kurihara , Akihito Kiyama , Yoshiyuki Tagawa

The effect of the Strouhal number on periodic forcing of the flow over a backward-facing step (height, $H$) is investigated experimentally. Forcing is applied by a synthetic jet at the edge of the step at Strouhal numbers ranging from…

Fluid Dynamics · Physics 2017-08-09 Tim Berk , Takfarinas Medjnoun , Bharathram Ganapathisubramani

Biological locomotion, observed in the flexible wings of birds and insects, bodies and fins of aquatic mammals and fishes, consists of their ability to morph the wings/fins. The morphing capability holds significance in the abilities of…

Fluid Dynamics · Physics 2022-10-19 Pragalbh Dev Singh , Ishan Neogi , Vardhan Niral Shah , Vaibhav Joshi

Dimensionless frequency scaling laws for active separation control on flat-plate wings, using dielectric barrier discharge plasma actuators, were examined on the basis of maximum increases to lift coefficient, and compared with hovering…

Fluid Dynamics · Physics 2025-12-16 Stefan Vey , Christian Oliver Paschereit , David Greenblatt

Scombrid fishes and tuna are efficient swimmers capable of maximizing performance to escape predators and save energy during long journeys. A key aspect in achieving these goals is the flexibility of the tail, which the fish optimizes…

Fluid Dynamics · Physics 2024-11-19 L. Padovani , G. Manduca , D. Paniccia , G. Graziani , R. Piva , C. Lugni

The propulsive dynamics of a flexible undulating foil in a self-propelled swimming configuration near a wall is studied experimentally. Measurements of the swimming speed and the propulsive force are presented, together with image…

Aims: The Strouhal number (St), which is a nondimensional measure of the correlation time, is determined from numerical models of convection. The Strouhal number arises in the mean-field theories of angular momentum transport and magnetic…

Astrophysics · Physics 2007-05-23 P. J. Käpylä , M. J. Korpi , M. Ossendrijver , I. Tuominen

Propulsion at microscopic scales is often achieved through propagating traveling waves along hair-like organelles called flagella. Taylor's two-dimensional swimming sheet model is frequently used to provide insight into problems of…

Fluid Dynamics · Physics 2014-06-05 Thomas D. Montenegro-Johnson , Eric Lauga
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