In the text we investigated the parabolic velocity profile associated with the laminar flow of fluid through a circular pipe. If the pipe wall is heated in such a way that the wall heat flux is independent of the axial position (e. g. via a resistance heating element wrapped around the pipe at a constant pitch), the temperature profile within the fluid is given by

T=Ts-Co(3Rp^2/16 - r^2/4 + r^4/16Rp^2) where T is the temperature of the pipe surface and Co is a constant. ( Rp is another variable)

!. What are the dimensions for Co.

2. Sketch the temperature profile as a function of r for constant axial position

3. Compare and discuss the shapes of the temperature and velocity profiles

4. Calculate the diffusive heat flux per unit area to the pipe wall.