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The Reynolds Analogy is popularly known to relate turbulent momentum and heat transfer. That is because in a turbulent flow the transport of momentum and the transport of heat largely depends on the same turbulent eddies: the velocity and the temperature profiles have the same shape.

The main assumption is that heat flux q/A in a turbulent system is analogous to momentum flux τ, which suggests that the ratio τ/ must be constant for all radial positions.

The complete Reynolds analogy* is:

f 2 = h C p × G = k c ′ V a v {\displaystyle {\frac {f}{2}}={\frac {h}{C_{p}\times G}}={\frac {k'_{c}}{V_{av}}}}

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