Viscous flow past a flexible fibre tethered at its centre point: vortex shedding
نویسندگان
چکیده
Motivated by a laboratory experiment reported in Alben, Shelley & Zhang (Nature, vol. 420, 2002, p. 479), we performed simulations of an elastic fibre anchored at its centre point and immersed in a flowing viscous incompressible fluid by the immersed boundary (IB) method. We focus on the influence of some dimensionless parameters on vortex shedding from the fibre for Re in the range [30, 800]. Three sets of simulations were designed to investigate the influence of Reynolds number Re, dimensionless fibre flexure modulus K̂b, and dimensionless fibre length L̂ on vortex shedding. According to the simulation results, Re, K̂b, and L̂ each has a significant influence on the structure of shed vortices. However, Re has little influence on the vortex shedding frequency. With the increase of dimensionless bending modulus, the dimensionless vortex shedding frequency (fvs) and the critical Reynolds number (Rec) decrease approximately as power-law functions. Both fvs and Rec increase approximately linearly as dimensionless fibre length increases.
منابع مشابه
High Reynolds Viscous Flow Simulation Past the Elliptical Airfoil by Random Vortex Blob
In this paper, numerical simulation for a two-dimensional viscous and incompressible flow past the elliptical airfoil is presented by Random Vortex Blob (RVB). RVB is a numerical technique to solve the incompressible, two-dimensional and unsteady Navier-Stocks equations by converting them to rotational non-primitive formulations. In this method, the velocity vector at a certain point can be cal...
متن کاملEffects Of Frequency Variation At Inlet Flow On The Vortex Shedding Frequency Behind A Circular Cylinder
In many applications the flow that past bluff bodies has frequency nature (oscillated) and it is not uniform. This kind of flow has effects on the formation of vortex shedding behind bluff bodies. In this paper the flow around a circular cylinder was numerically simulated. The effects of frequency variation at inlet flow on the vortex shedding frequency were investigated. The transient Two-Dime...
متن کاملScaling laws for drag of a compliant body in an incompressible viscous flow
Motivated by an important discovery on the drag scaling law (the 4/3 power law) of a flexible fibre in a flowing soap film by Alben et al. (Nature vol. 420, 2002, p. 479) at high Reynolds numbers (2000<Re< 40 000), we investigate drag scaling laws at moderate Re for a compliant fibre tethered at the midpoint and submerged in an incompressible viscous flow using the immersed boundary (IB) method...
متن کاملAn analysis of a two cylinder-fluid interaction at critical gap spacing by a cell boundary element method
Incompressible viscous, uniform flow past two parallel cylinders of equal diameter at a critical gap spacing g∗ = 0.90 to 1.10 is investigated using the viscous cell boundary element method. In this critical flow zone an irregular interchange of in-phase and anti-phase wake flows is observed and the switching mechanism between the states is investigated. Numerical studies undertaken at space in...
متن کاملOutput Feedback Boundary Control of a Ginzburg-Landau Model of Vortex Shedding
An exponentially convergent observer is designed for a linearized Ginzburg-Landau model of vortex shedding in viscous flow past a bluff body. Measurements are restricted to be taken collocated with the actuation which is applied on the cylinder surface. The observer is used in conjuction with a state feedback boundary controller designed in previous work to attenuate vortex shedding. Simulation...
متن کامل