Question

For flow of a liquid metal through a circular tube, the velocity and temperature profiles at a particular axial location may be approximated as being uniform and parabolic, respectively. That is, u(r) = C, and TO-T, = C11-(r/ro)2], where Ci and C2 are constants. what is the value of the Nusselt number Nup at this location?

Answer 1

Answer:

Nup = 8

Explanation:

u(r) = C1 and T(r) = T(s) = C2 [ 1 - r/ro)^2 ]

The temperature and velocity particles at a particular axial location is Uniform and parabolic

The Nusset Number Nup at this location can be obtained by first determining/calculating for the convection coefficient = $h = \frac{q^I s}{TsTn}$

Therefore the mean temperature is calculated as follows

attached is the detailed solution and free body diagram