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: