A flat plate of width \(1 \mathrm{~m}\) and length \(0.2 \mathrm{~m}\) is maintained at a temperature of \(32^{\circ} \mathrm{C}\). Ambient fluid at \(22^{\circ} \mathrm{C}\) flows across the top of the plate in parallel flow. Determine the average heat transfer coefficient, the convection heat transfer rate from the top of the plate, and the drag force on the plate for the following:

(a) The fluid is water flowing at a velocity of \(0.5 \mathrm{~m} / \mathrm{s}\).

(b) The nanofluid of Example 2.2 is flowing at a velocity of \(0.5 \mathrm{~m} / \mathrm{s}\).

(c) Water is flowing at a velocity of \(2.5 \mathrm{~m} / \mathrm{s}\).

(d) The nanofluid of Example 2.2 is flowing at a velocity of \(2.5 \mathrm{~m} / \mathrm{s}\).