Consider hydrodynamically fully developed flow of a viscous oil in a 7.5 cm diameter pipe, where the oil temperature is uniform at 300 K, and the wall is adiabatic. The flow rate of the oil is such...

Consider hydrodynamically fully developed flow of a viscous oil in a 7.5 cm diameter pipe, where the oil temperature is uniform at 300 K, and the wall is adiabatic. The flow rate of the oil is such that Re_D
= 10⁴
. At a location designated with x = 0, a heat flux of 2 kW/m2 is imposed. Using the analytical solution by Notter and Sleicher (1972), find the Nusselt number, and calculate the wall temperature at x = 80 cm. Compare the Nusselt number with a widely used thermally developed empirical correlation.

The following thermophysical properties can be assumed for the oil: