Hydrodynamic coupling of arrays in fluids

Type of content
Theses / Dissertations
Publisher's DOI/URI
Thesis discipline
Mechanical Engineering
Degree name
Doctor of Philosophy
Publisher
University of Canterbury
Journal Title
Journal ISSN
Volume Title
Language
English
Date
2020
Authors
Manickavasagam, Arun Kumar
Abstract

Broadband, multi-functional and parallel-processing devices are often built on coupled oscillators or arrays of resonators. Different length scales and applications determine the dominating coupling mechanism of the device. In this work we investigate the effects of fluid-coupling between members of a one-dimensional array in an unbounded and a bounded fluid domain. Our analysis is based on the Navier-Stokes equation for incompressible flow which is solved using a boundary integral technique resulting in the hydrodynamic coupling matrix through which added mass and hydrodynamic dissipation effects are inferred. We also study the influence of non-neighbouring members in view of trying to distinguish between local and global (array) effects. Results clearly suggest that the fluid-coupling is mutually dependent on both gaps between the beams and their respective heights from the surface. Also, non-neighbouring members play a significant role with an increase in size of the array and at gaps less than half the width of the cantilever.

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All Right Reserved