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To establish the relationship between turbulent scales and the Reynolds number, which of these methods is used?

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To establish the relationship between turbulent scales and the Reynolds number, which of these methods is used?

(a) Statistical averaging

(b) Dimensional analysis

(c) Weighted averaging

(d) Geometric algebra

I had been asked this question by my school teacher while I was bunking the class.

The above asked question is from Turbulence Modelling topic in chapter Turbulence Modelling of Computational Fluid Dynamics

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Correct choice is (b) Dimensional analysis

Easiest explanation: The ratio of large and small scales of turbulent flows can be given in terms of the Reynolds number. These relations are established using dimensional analysis. Dimensional analysis is a method which compares the dimensions in both the sides of the equations to set the relationship.

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