Ma. Hastaoglu et al., 3-DIMENSIONAL TRANSIENT HEAT-TRANSFER FROM A BURIED PIPE .3. COMPREHENSIVE MODEL, Chemical Engineering Science, 50(16), 1995, pp. 2545-2555
The transient heat transfer problem of solidification of a liquid Rowi
ng in a buried pipe is analyzed. The system is cooled from a horizonta
l Rat top surface. The model described in the preceding two manuscript
s in this series has been extended to the case when a fluid in laminar
flow inside a buried pipe freezes. The cross section for flow, which
changes with axial position and time, has been approximated as an elli
pse. The velocity profile, which is required in the partial differenti
al equation for the temperature inside the Rowing fluid, is determined
from the dimensions of the ellipse. Numerical procedures are presente
d For tracking the moving interface between the solid and the fluid in
laminar flow. Simulation examples demonstrate the impact of the Reyno
lds number on the times to freezing, the temperature profiles and the
thickness of the ice layers formed. The effects of pipe burial depth a
nd of other parameters in the model are also examined.