Virtual mass in stratified fluids
Loveland, Kenneth Wilder
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The virtual mass of circular cylinders immersed in a uniformly stratified nonhomogeneous fluid medium has been investigated both theoretically and experimentally. The experimental equipment consisted of a reservoir filled with one inch thick layers of salt water solution. The density uniformly decreased with elevation (stable stratification). The fluid motion about the cylinder was provided by the standing waves created with a plunger. The resulting velocities and accelerations about the cylinder were harmonic. The theoretical analysis consisted of the calculation of the inertia coefficient through the evaluation of the total kinetic energy of the fluid medium. Use was made of the psuedopotential flow solution for the stratified flow about a circular cylinder. The results have shown that the inertia coefficient for circular cylinders immersed in a uniformly stratified media is about 25% larger than that for a cylinder immersed in an homogeneous medium.
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