Consider a liquid in a cylindrical container in which both the container and the liquid are rotating as a rigid body (solid-body rotation). The elevation difference h between the center of the liquid surface and the rim of the liquid surface is a function of angular velocity ω, fluid density ρ, gravitational acceleration g, and radius R (Fig. P7–76). Use the method of repeating variables to find a dimensionless relationship between the parameters. Show all your work.

FIGURE P7–76

Transcribed Image Text:

Too g Free surface Liquid @ R h