Coming from a mineral processing background, we generally have a rough rule of thumb of over 2 m/s line velocity for settling slurries. If there is a lot of coarse and/or low density (ie less hindered settling) and we know there will be a problem with sanding, then 4-5 m/s is typical. There is rarely a need for over 6 m/s as this just produces excess fricion losses and also increases pipe wear.
Generally any reasonably competent slurry pump manufacturer (Metso, Warman, Krebs, GIW) can also provide assistance with slurry transport and generally have their own calculation methods.
If you want to go through some calcs yourself, an Australian mineral processing guru, David Menne, once had a website going (i can no longer find it though). It had some formulae for such things. Luckily I saved it a few years ago and quoting directly from it:
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2. Solids volume fraction
Solids volume fraction is a most important slurry parameter; and many inferences can be made from values as compared to the so- called maximum solids volume fraction Cvmax.
Cvmax is generally meant to refer to the loosely packed condition, eg after pouring.
By tapping, vibrating etc, a higher value can be obtained, about 1.18x the loosely packed value.
3. Slope of a launder to ensure that it is self-scouring :
tan Th > 0.7 Fv [S-1]0.1 Dp0.2
where Th = launder slope
Fv = volume fraction solids Cv for Cv <0.34
= 0.34 for volume fraction solids Cv > 0.34
S = specific gravity of fastest settling solids
Dp = diameter of fastest settling solids, mm
Setting Fv = 0.34 gives a good conservative slope for rapidly hosing clean a spill surface or potentially boggable launder or pipe etc.
Using lower slopes, hosing time and water consumption increase almost in the ratio of cot Th.
4. Self-scouring throughflow velocity for horizontal pipe :
V > 3.3(1-Cv)0.13[gDp(S-1)]0.5
where g = 9810 mm/second2; g = 9.81 m/second2