Sloped Pipe Theory For Slurries
(SSL Module Only) Sloped pipe calculations are a combination of horizontal head loss and a vertical component. A widely used formula is given in Wilson, et al, 2006Wilson, K.C., G.R. Addie, A. Sellgren and R. Clift, Slurry Transport Using Centrifugal Pumps, 3rd Ed., published by Springer, 2006., on page 183.
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(1) |
Where Δi(θ) is simply the excess pressure gradient (im – iw) for a pipe at an angle θ.
The term Δi(θ) is the solids effect for a horizontal pipe and is calculated using the equations described in that section above. It is modified by cos(θ) to reflect the pipe inclination from horizontal.
The Deposition Velocity, Vsm, is also modified based on pipe angle. The following is added to the value calculated for horizontal pipes.
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(2) |
Where ΔD is determined from the graph in Wilson, et al, 2006, on page 181.
