Taneda  stated that transition in pipe flow occurs only in the entrance region
The stratification phenomenon significantly exacerbates this heat transfer in the entrance region
of horizontal pipes.
It can be inferred that for the teeth development it should be initiated in the entrance region
These results have shown the good agreement with the conventional theories even for the entrance region
of the tube.
1999) studied solids holdup and particle velocity at the entrance region
with three types of gas-solid distributor designs, but the study was in a downer, not a riser.
Two-dimensional laminar flow and heat transfer in the entrance region
of a symmetric wavy-channel with constant wall heat flux density which includes fourteen undulations are presented.
2006), the pressure gradient in the entrance region
of a pipe where the flow is developing is different from that which occurs downstream in a fully developed region.
Figure 6 gives the effect of the initial drop size on the extent of drop deformation in the entrance region
and drop breakup in the downstream side of the cylindrical tube (18).
Numerous investigations of laminar incompressible fluid flow along the entrance region
of a smooth circular pipe have been made both experimentally and theoretically since the work of Hagen in 1839 and Poiseuille in 1841.
In this case, the flow in the die is undeveloped because the extrudate memorizes early deformation at the die entrance region
This is an entrance region
effect, as is stratification.
2) The laminar-turbulent transition occurs near the pipe inlet in the entrance region