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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