We investigate the volume preserving mean curvature flow with Neumann boundary condition for hypersurfaces that are graphs over a cylinder. Through a center manifold analysis we find that initial hypersurfaces sufficiently close to a cylinder of large enough radius, have a flow that exists for all time and converges exponentially fast to a cylinder. In particular, we show that there exist globa...

The free vibrations of a flexible circular cylinder inclined at 80° within a uniform current are investigated by means of direct numerical simulation, at Reynolds number 500 based on the body diameter and inflow velocity. In spite of the large inclination angle, the cylinder exhibits regular in-line and cross-flow vibrations excited by the flow through the lock-in mechanism, i.e. synchronizatio...

We design and test micro-watt energy-harvesters inspired by tree trunks swaying in the wind. A uniform flow vibrates a linear array of four cylinders affixed to piezoelectric energy transducers. Particular attention is paid to measuring the energy generated as a function of cylinder spacing, flow speed, and relative position of the cylinder within the array. Peak power is generated using cylind...

The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity is investigated. The impinging free stream is steady with a strain rate k. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-si...

Abstract Potential flow over rotating cylinder is usually solved by the singularity method. However, in this paper a mathematical solution is presented for this problem by direct solution of the Laplace's equation. Flow over the cylinder was considered non-viscous. Neumann and Dirichlet boundary conditions were used on the solid surfaces and in the infinity, respectively. Because of non-viscous...

The role of the added mass coefficient in vortex induced vibration (VIV) bluff body is complex and elusive. It certain that decoding relationship between pattern will benefit prediction prevention VIV. We present a study on VIV long flexible cylinder forced rigid cylinder, combination experimental optical measurements high-fidelity numerical simulation. focus uniform flow over at fixed Reynolds...