The entry length problem discussed in Section 13.5.1 can be analyzed using the boundary layer equations for

Question:

The entry length problem discussed in Section 13.5.1 can be analyzed using the boundary layer equations for a flat plate. The only caveat is that the thermal boundary layer must be small compared to the tube radius. When this assumption is valid, the velocity \(v_{y}=0\) for developed flow and the velocity \(v_{x}\) can be approximated by a linear increase with wall distance, with the rate of that increase dictated by the Poiseulle profile. This is the basis of an analysis by M. Leveque [29] which resulted in the equation:

\[\overline{N u_{d}}=1.16 G z^{1 / 3}\]

Starting from the boundary layer equation, describe this result as M. Leveque did in 1928. image text in transcribed