Solution

There are six variables and three fundamental dimensions (M, L, T), and therefore there will be three dimensionless groups. Thus, one can write

Writing dimensions of each of these variables: Fd = MLT-2 m = ML-1Tn-2

Choosing p, d, V as the recurring set, the fundamental dimensions M, L and T can be expressed as:

and the three ^-groups can be formed as:

and n. Therefore,

Fd = f( PV2ndn pV2-ndn pV2d2

By inspection, (FD/pV2d2) a CD

\ CD = f(Re, n) which is the same relationship as given by equation (5.3).

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