The ratio of the thickness of the thermal boundary layer to the thickness of the hydrodynamic boundary layer is equal to (Prandtl number)n, where n is______.

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δ = the thickness of the hydrodynamic boundary layer; the region of flow where the velocity is less than 99% of the far-field velocity.

δT = the thickness of the thermal boundary layer; the region of flow where the local temperature nearly reaches the value (99%) of the bulk flow temperature

\(\begin{array}{l} \frac{\delta }{{{\delta _T}}} = {\left( {{\rm{Pr}}} \right)^{\frac{1}{3}}}\;\\ \frac{{{\delta _T}}}{\delta } = {\left( {{\rm{Pr}}} \right)^{ - \frac{1}{3}}} \Rightarrow n = - \frac{1}{3} \end{array}\)

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