Consider a flat plate subject to parallel flow (top and bottom) characterized by \(u_{\infty}=5 \mathrm{~m} / \mathrm{s}, T_{\infty}=20^{\circ} \mathrm{C}\).

(a) Determine the average convection heat transfer coefficient, convective heat transfer rate, and drag force associated with an \(L=2\)-m-long, \(w=3\)-m-wide flat plate for airflow and surface temperatures of \(T_{s}=\) \(30^{\circ} \mathrm{C}\) and \(80^{\circ} \mathrm{C}\).

(b) Determine the average convection heat transfer coefficient, convective heat transfer rate, and drag force associated with an \(L=0.1-\mathrm{m}\)-long, \(w=0.1\)-m-wide flat plate for water flow and surface temperatures of \(T_{s}=30^{\circ} \mathrm{C}\) and \(80^{\circ} \mathrm{C}\).