Question

Dimensional Analysis:

A test is designed to study the static deflection, ?, of a pre-stressed thin elastic wire due to the fluid drag. Assume that ? = ?(?, ?, ?, ?, ?, ?, σp) where ? is the wire length, ? is the wire diameter, ? is the fluid density, μ is the fluid viscosity, ? is the fluid velocity, ? is the Young’s modulus of elasticity of the wire and σp is the pre-stressing tension stress (force/area) of the wire. Develop a suitable set of pi terms for this problem using Buckingham’s pi theorem. Show all of your calculations!

Answer 1