Civil Engineering MCQAE Level Civil Engineering

In Buckingham pi theorem, if a physical problem involves n variables and m fundamental dimensions, the number of independent dimensionless pi groups is:

Fluid MechanicsDimensional AnalysisMEDIUM

Choose the correct answer

A

n + m

B

n - m

C

n x m

D

m / n

Correct Answer

B. n - m

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Buckingham pi theorem: number of pi groups = n - m, where n = total number of variables and m = number of fundamental dimensions (M, L, T for most fluid mechanics problems).

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