Flow-induced vibration: implementation of correlations

This report describes the implementation of the correlations for flow-induced vibration.
Four types of vibrations are included, and they are added to the optimization model as
inequality constraints. Parametric studies for the effect of 9 parameters on the vibration
calculation have been performed.
The main purpose of the parametric study is to qualitatively investigate how the design
parameters will affect the fluid-induced vibrations. From the results on this particular
case, it is found that changing the design parameters have the similar effects on the
turbulent buffeting and fluid-elastic instability. The vibrations will enlarge when increasing
the heat exchanger width, or decreasing the number of support plates, the tube diameter
or the number of tubes per row. The rest parameters seem having less impact. Even the
calculation for vortex shedding will be influenced by all the studied parameters at
different levels, the results are far away from the allowable limit and the vortex shedding
is unlikely to occur. For acoustic resonance, altering heat exchanger width and fin height
has relatively large effects.