Dimensional analysis-examples homework 1. the drag force fd (or lift force f) on a submerged object (such as submarine) is a function of the fluid density p, the flow velocity v, the characteristic dimension of the object d, and the fluid viscosity u. fd=/(p, v, d, u).express the drag and lift force in non-dimensional form.

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?