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Pedagogy

The "addedmass" Problem in Hydrodynamics

Forward Problem

Authors: G Rozza & AT Patera

in collaboration with DBP Huynh & NC Nguyen

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**Q1**
Referring to JN Newman's *Marine
Hydrodynamics* (The MIT Press, 1977), make a comparison of the added
mass data provided there with ones computed by this
Worked Problem. Compute the added mass for a square body and for
a lateral disk and a transverse disk. Does the fact that we
are not dealing with an infinite "box" surrounding the floating
body influence results? Can you make an estimation?

**Q2 **Study a simplified model representing an oscillator.
In this case, a body with mass *m* is not floating but oscillating
owing to a spring of stiffness *k*, and `mu3`

is the
displacement due to the oscillations induced by the spring. (Hint:
include the added mass in the equation representing the motion of
the oscillator.)

**Q3 **How does the distance (`mu2`

) between the top
surface of the floating body and the free surface influence the
added mass computation?

**Q4 **What is the added mass for thin rectangular bodies
such as disks placed in lateral and/or transverse positions?