A numerical study of the propulsive efficiency of a flapping hydrofoil

A computational fluid dynamics study of the swimming efficiency of a two-dimensional flapping hydrofoil at a Reynolds number of 1100 is presented. The model accounts fully for viscous effects that are particularly important when flow separation occurs. The model uses an arbitrary Lagrangian–Eulerian (ALE) method to track the moving boundaries of oscillatory and flapping bodies. A parametric analysis is presented of the variables that affect the motion of the hydrofoil as it moves through the flow along with flow visualizations in an attempt to quantify and qualify the effect that these variables have on the performance of the hydrofoil. Copyright © 2003 John Wiley & Sons, Ltd.

[1]  T. Y. Wu,et al.  Swimming of a waving plate , 1961, Journal of Fluid Mechanics.

[2]  M. Triantafyllou,et al.  Wake mechanics for thrust generation in oscillating foils , 1991 .

[3]  J. Siekmann,et al.  On the swimming of a flexible plate of arbitrary finite thickness , 1964, Journal of Fluid Mechanics.

[4]  G. H. Koopmann,et al.  The vortex wakes of vibrating cylinders at low Reynolds numbers , 1967, Journal of Fluid Mechanics.

[5]  J. Siekmann,et al.  Theoretical studies of sea animal locomotion, part 2 , 1962 .

[6]  R. Henderson,et al.  A study of two-dimensional flow past an oscillating cylinder , 1999, Journal of Fluid Mechanics.

[7]  T. Y. Wu,et al.  Hydromechanics of swimming propulsion. Part 2. Some optimum shape problems , 1971, Journal of Fluid Mechanics.

[8]  M. Triantafyllou,et al.  Oscillating foils of high propulsive efficiency , 1998, Journal of Fluid Mechanics.

[9]  M. Lighthill.  Note on the swimming of slender fish , 1960, Journal of Fluid Mechanics.

[10]  Max F. Platzer,et al.  Computational Study of Flapping Airfoil Aerodynamics , 2000 .

[11]  Joseph Katz,et al.  Hydrodynamic propulsion by large amplitude oscillation of an airfoil with chordwise flexibility , 1978, Journal of Fluid Mechanics.

[12]  Hiroshi Isshiki,et al.  A Theory of Wave Devouring Propulsion (4th Report) , 1982 .

[13]  T. Y. Wu,et al.  Hydromechanics of swimming propulsion. Part 1. Swimming of a two-dimensional flexible plate at variable forward speeds in an inviscid fluid , 1971, Journal of Fluid Mechanics.

[14]  Bing-Gang Tong,et al.  Analysis of swimming three-dimensional waving plates , 1991, Journal of Fluid Mechanics.

[15]  S. Mittal,et al.  Massively parallel finite element computation of incompressible flows involving fluid-body interactions , 1994 .

[16]  C. W. Hirt,et al.  An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds , 1997 .

[17]  F. Branco,et al.  Analysis of fluid–structure interaction by an arbitrary Lagrangian–Eulerian finite element formulation , 1999 .

[18]  Y. Tanida,et al.  Stability of a circular cylinder oscillating in uniform flow or in a wake , 1973, Journal of Fluid Mechanics.

[19]  Tayfun E. Tezduyar,et al.  PARALLEL FINITE ELEMENT SIMULATION OF 3D INCOMPRESSIBLE FLOWS: FLUID-STRUCTURE INTERACTIONS , 1995 .

[20]  M. Koochesfahani.  Vortical patterns in the wake of an oscillating airfoil , 1987 .

[21]  Michael S. Triantafyllou,et al.  Active vorticity control in a shear flow using a flapping foil , 1994, Journal of Fluid Mechanics.

[22]  S. Mittal,et al.  A finite element study of incompressible flows past oscillating cylinders and aerofoils , 1992 .

[23]  M. Triantafyllou,et al.  Optimal Thrust Development in Oscillating Foils with Application to Fish Propulsion , 1993 .

[24]  R. Ramamurti,et al.  Simulation of Flow About Flapping Airfoils Using Finite Element Incompressible Flow Solver , 2001 .