Vortex-Induced Vibration of Two Mechanically Coupled Cylinders of Different Diameters in Steady Flow

2011 ◽  
Author(s):  
Mehran Rahmanian ◽  
Ming Zhao ◽  
Liang Cheng ◽  
Tongming Zhou
Keyword(s):  
Free Stream ◽  
Stokes Equations ◽  
Oscillation Amplitude ◽  
Navier Stokes ◽  
Galerkin Finite Element Method ◽  
Force Coefficient ◽  
Navier Stokes Equations ◽  
Galerkin Finite Element ◽  
Vortex Induced Vibrations ◽  
Different Diameters

Vortex-induced vibrations of two mechanically coupled cylinders of different diameters in steady incompressible flow are studied. The diameter ratio of the cylinders is fixed at 0.1. Petrov-Galerkin finite element method is used to solve the two dimensional Reynolds-averaged Navier-Stokes equations equipped with SST k–ω turbulence model closure. The numerical model is evaluated against available experimental results. Following that, the effects of cylinders’ gap and their angular orientation relative to the free stream on oscillation amplitude and force coefficient variation of the bundle are investigated. It is found that small changes in the arrangement of the cylinders can lead to considerable changes of oscillation amplitudes.

On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations

2017 ◽  
Vol 25 (4) ◽  
Author(s):  
Saumya Bajpai ◽  
Amiya K. Pani
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Coarse Mesh ◽  
Galerkin Finite Element Method ◽  
Navier Stokes Equations ◽  
Spatial Direction ◽  
Galerkin Finite Element ◽  
Element Method

AbstractIn this paper, an error analysis of a three steps two level Galerkin finite element method for the two dimensional transient Navier–Stokes equations is discussed. First of all, the problem is discretized in spatial direction by employing finite element method on a coarse mesh 𝒯

Vortex-Induced Vibration of Two Side-by-Side Circular Cylinders of Different Diameters in Close Proximity in Steady Flow

2012 ◽  
Author(s):  
Mehran Rahmanian ◽  
Liang Cheng ◽  
Ming Zhao ◽  
Tongming Zhou
Keyword(s):  
Natural Frequencies ◽  
Stokes Equations ◽  
Circular Cylinders ◽  
Navier Stokes ◽  
Stream Velocity ◽  
Arbitrary Lagrangian Eulerian ◽  
Navier Stokes Equations ◽  
Vortex Induced Vibrations ◽  
The Difference ◽  
Different Diameters

Vortex-induced vibrations of two side-by-side cylinders of different diameters in steady incompressible flow are studied. The diameter ratio of cylinders is fixed at 0.1. The Reynolds number is fixed at 5000 based on the large cylinder diameter and free stream velocity. A Petrov-Galerkin finite element method is used to solve the two dimensional Reynolds-averaged Navier Stokes equations using the Arbitrary Lagrangian Eulerian scheme with a SST k-ω turbulence model closure. The numerical method has been validated against available experimental results. Then, the effects of natural frequencies of the cylinders on the vibration amplitude and vortex shedding regimes are investigated. It is found that for the range of considered parameters, collision of the cylinders is dependent on the difference of the natural frequencies of the cylinders.

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