The top surface of a compartment consists of very smooth (A) and highly roughened (B) portions, and the surface is placed in an atmospheric airstream. In the interest of minimizing total convection heat transfer to the surface, which orientation, (1) or (2), is preferred? If \(T_{s}=10^{\circ} \mathrm{C}, T_{\infty}=35^{\circ} \mathrm{C}\), and \(u_{\infty}=25 \mathrm{~m} / \mathrm{s}\), what is the rate of convection heat transfer to the entire surface for this orientation?

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1 m Mt T A B 0.5 m A 0.5 m or B or BA (1) B A (2)