A flat plate is of planar dimension \(1 \mathrm{~m} \times 0.75\mathrm{~m}\). For parallel laminar flow over the plate, calculate the ratio of the average heat transfer coefficients over the entire plate, \(\bar{h}_{L, 1} / \bar{h}_{L, 2}\), for two cases. In Case 1, flow is in the short direction \((L=0.75 \mathrm{~m})\); in Case 2, flow is in the long direction \((L=1 \mathrm{~m})\). Which orientation will result in the larger heat transfer rate?