Computing Natural Frequency of a Torus System: 3D vs. 2D Added Mass

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SUMMARY

The discussion focuses on computing the natural frequency of a torus system in heaving motion, specifically addressing the use of 3D versus 2D added mass terms. The participant seeks clarification on when to apply the 3D added mass formula, as well as the conditions under which the 2D added mass formula is applicable. A reference to a relevant paper containing these formulas is suggested for further understanding.

PREREQUISITES
  • Understanding of natural frequency calculations in mechanical systems
  • Familiarity with added mass concepts in fluid dynamics
  • Knowledge of 3D and 2D modeling techniques
  • Basic principles of heaving motion in oscillatory systems
NEXT STEPS
  • Research the derivation and application of 3D added mass formulas in fluid dynamics
  • Study the conditions for using 2D added mass in oscillatory systems
  • Examine the mathematical modeling of heaving motion in toroidal geometries
  • Review relevant academic papers on added mass effects in fluid-structure interactions
USEFUL FOR

Mechanical engineers, fluid dynamics researchers, and students studying oscillatory motion in complex geometries will benefit from this discussion.

Fluidman117
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Hi!

I am trying to compute the natural frequency of a system and I also need to add the added mass term to my equation. The object I have is a torus and is basically in heaving motion. I found a good paper, which gives a formula for 3d added mass and 2d added mass.

I would figure that I have to use the 3d added mass formula, correct? But when and why do you need to use the 2D added mass?

Thanks!
 
Physics news on Phys.org
anyone?
 
Just give it a little time. Your question is very specific and not general knowledge to most of us.
 
A reference to the paper would help as well - or at least some clues about what you mean by "heaving motion of a torus".
 

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