The temperature profile in the boundary layer for air flowing over a heated surface has been found

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The temperature profile in the boundary layer for air flowing over a heated surface has been found to obey:

\[\frac{T-T_{s}}{T_{\infty}-T_{s}}=1-\exp \left[-\operatorname{Pr}\left(\frac{v_{\infty} y}{v}\right)\right]\]

where \(y\) is the distance normal to the surface and \(\operatorname{Pr}=0.7\) is the Prandtl number. If \(T_{\infty}=400 \mathrm{~K}, T_{s}=300 \mathrm{~K}\), and \(v_{\infty} / v=5500 \mathrm{~m}^{-1}\), what is the surface heat flux?

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