Question: Problem 1: Consider the sharp-edged entrance to a round duct of diameter D, as shown 1n the following figure. The laminar boundary layer that forms

Problem 1: Consider the sharp-edged entrance to a round duct of diameter D, as shown 1n the following figure. The laminar boundary layer that forms over the duct length L 1s much thinner than the duct diameter. The temperature difference between the duct wall (1sothermal) and the inflowing stream 1s DT The longitudinal inlet velocity of the stream 15 U . Denve expressions for the total force F expenienced by the duct section of length L, and the total heat transfer rate from the duct wall to the stream, q. In the end, show that q and F are proportional: (20 points) ' AT q an P g == Pr (Pr = 0.5) F U o

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