Fluid Mechanics - Engineering

Q1:

Buckingham-π theorem states that in any physical problem including 'n' quantities having 'm' diamensions, the quantities can be arranged into __________ independent dimensionless parameters.

A m

B n

C n-m

D n/m

ANS:C - n-m

The Buckingham-π theorem states that in any physical problem involving nnn quantities that have mmm fundamental dimensions (such as length, mass, time, etc.), these quantities can be arranged into n−mn - mn−m independent dimensionless parameters. Therefore, the answer is n−mn - mn−m.