Note that the two dimensionless quantities are not unique and depend on which of the n = 5 variables are chosen as the k = 3 dimensionally independent basis variables, which, in this example, appear in both dimensionless quantities. The Reynolds number and power number fall from the above analysis if , n, and D are chosen to be the basis variables. If, instead, , n, and D are selected, the Reynolds number is recovered while the second dimensionless quantity becomes . We note that is the product of the Reynolds number and the power number.
Note that the two dimensionless quantities are not !unique and depend on which of the n = 5 variables are chosen as the k = 3 dimensionally independ,ent basis variables, which, i.n this example, appear in both dimensionless quantities. The Reynolds number and power number fall from the above analysis if , n, and D are chosen to be the basis variables. If, instead, , n, and D are !selected, the Reynolds number is recovered while the second, dimensionless quantity becomes . We note that is the product of the Reynolds number and the power number.