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 heated pipe with 12-mm diameter and 2-m length. The flow is...

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 heated pipe with 12-mm diameter and 2-m length. 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:

Pr = 10, ρ = 800 kg/m³
, k = 0.12 W/m K, μ = 0.008 kg/m s

(a) Calculate the local Nusselt number and heat transfer coefficient at 1 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.