A solid sphere having a diameter d and specific weight gs

Chapter 7, Problem 7.61

(choose chapter or problem)

A solid sphere having a diameter d and specific weight \(\gamma_s\) is immersed in a liquid having a specific weight \(\gamma_f(\gamma_f > \gamma_s)\)  and then released. It is desired to use a model system to determine the maximum height, h, above the liquid surface that the sphere will rise upon release from a depth H. It can be assumed that the important liquid properties are the density, \(\gamma_f/g\) specific weight, \(\gamma_f\), and viscosity, \(\mu_{f}\). Establish the model design conditions and the prediction equation, and determine whether the same liquid can be used in both the model and prototype systems.