A heat exchanger for heating liquid mercury is under development. The exchanger visualized as a $15$ cm long and $0\mathrm{.}3$ m wide flat plate. The plate is maintained at $70C,$ and the mercury flows parallel to the short side at $15C$ with a velocity of $0\mathrm{.}3\frac{m}{s}.($a$)$ Find the local friction coefficient at the midpoint of the plate and the total drag force on the plate. $($b$)$ Determine the temperature of the mercury at a point $10$ cm from the leading edge and $1\mathrm{.}25$ mm $.$ from the surface of the plate. $($c$)$ Calculate the Nusselt number at the end of the plate.

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Drag Force