Module 11: Dimensional analysis and similitude
  Lecture 39: Geomteric and dynamic similarities, examples
 
 

Dimensional analysis and similitude–continued

Example 2: pressure–drop in pipe–flow depends on length, inside diameter, velocity, density and viscosity of the fluid. If the roughness-effects are ignored, determine a symbolic expression for the pressure–drop using dimensional analysis.

Answer: We will apply Buckingham Pi-theorem
Variables:
Primary dimensions:
No of dimensionless (independent) group: