An organic fluid that is initially at a temperature of 10°C is heated to an exit mean temperature of 50°C by passing it through a uniformly heated pipe with 12 mm diameter and length of 2 m. The flow is hydrodynamically fully developed before it enters the heated segment. The mass flow rate of the fluid is 0.1 kg/s. The properties of the fluid are as follows:
a. Calculate the local Nusselt number and heat transfer coefficient at 1 cm and 10 cm downstream from the location where heating is initiated.
b. Assuming thermally developed flow everywhere, calculate and plot the mean fluid temperature with distance along the pipe.
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