As. Bartosik et Ca. Shook, PREDICTION OF VERTICAL LIQUID-SOLID PIPE-FLOW USING MEASURED CONCENTRATION DISTRIBUTION, Particulate science and technology, 13(2), 1995, pp. 85-104
The performance of a standard (k-L) turbulence model for predicting sl
urry pipeline pressure gradients is examined using experimental measur
ements of velocity and solids concentration distribution for upward ve
rtical flows. Assuming the solids concentration rises abruptly from a
value of zero at the pipe wall over a distance corresponding to one ha
lf a particle diameter, satisfactory predictions were obtained for san
d particles of median diameter up to about 800 mu m in a 25.8 mm verti
cal pipeline. No damping of fluid turbulence or additional stresses du
e to particle-particle interactions were included in the computational
model. Velocity distributions are found to be natter than those of tu
rbulent single-phase flows, because of the variation of mixture proper
ties in the vicinity of the pipe wall.