Abstract
Hydrodynamic forces on a structure are the manifestation of fluid-structure interaction. Since this interaction is nonlinear, these forces consist of various frequencies: fundamental, harmonics, excitation, sum, and difference of these frequencies. To analyze this phenomenon, we perform numerical simulations of the flow past stationary and oscillating cylinders at low Reynolds numbers. We compute the pressure, integrate it over the surface, and obtain the lift and drag coefficients for the two configurations: stationary and transversely oscillating cylinders. Higher-order spectral analysis is performed to investigate the nonlinear interaction between the forces. We confirmed and investigated the quadratic coupling between the lift and drag coefficients and their phase relationship. We identify additional frequencies and their corresponding energy present in the flow field that appear as the manifestation of quadratic nonlinear interaction.
Highlights
The fluid-structure interaction has its significance in flow physics and industrial applications
We identify additional frequencies and their corresponding energy present in the flow field that appear as the manifestation of quadratic nonlinear interaction
The first significant contribution to this problem is credited to Bishop and Hassan [1] who experimentally studied the flow past an externally oscillated cylinder over a Reynolds number range of 5,850 to 10,800 within the lock-in frequency range
Summary
The fluid-structure interaction has its significance in flow physics and industrial applications. When flow passes over a bluff body, an organized and periodic motion of a regular array of concentrated vorticity, known as the von Karman vortex street, appears in the wake of the bluff body. This vortex shedding exerts oscillatory forces on the body, which are often decomposed into drag and lift components along the freestream and crossflow directions, respectively. The first significant contribution to this problem is credited to Bishop and Hassan [1] who experimentally studied the flow past an externally oscillated cylinder over a Reynolds number range of 5,850 to 10,800 within the lock-in frequency range. They reported that this bandwidth is a function of the Reynolds number and the amplitude of motion
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