C_E

derated pump multiplier on efficiency

C_H

derated pump multiplier on head

C_m

mass concentration of solids

C_vd

volume concentration of solids, delivered

C_vi

volume concentration of solids, in situ

C_vb

volume concentration of solids in sliding bed (bed concentration)

d₅₀

mass-median particle diameter

d₈₅

diameter for which 85% by mass of the particles are finer

d₁₀₀

max particle diameter size (100% by mass of the particles are finer)

D

inner diameter of pipe

f

friction factor (Darcy)

f_f

friction factor when calculating i_fg

f_turb

turbulent friction factor

f_w

friction factor of water

g

acceleration due to gravity

i

head gradient

i_f

head gradient contribution from fluid

i_m

value of i for flow in terms of water density

i_s

head gradient contribution from solids

i_w

head gradient contribution from fluid when fluid is water

j_m

head gradient in terms of slurry density

K

loss factor

K

Power Law constant

L

pipe length

L_eq

equivalent pipe length of fittings

M

an exponent in the stratification ratio equation

ρ_w

density of water

S_s

relative density of solids in slurry

S_f

relative density of fluids in slurry

S_m

relative density of slurry

μ_s

coefficient of sliding bed friction

V₅₀

value of V_m at which 50% of the solids are suspended in the fluid

V_m

mean velocity of mixture

deposition velocity, velocity at which particles have all settled out

V_t

terminal velocity of a solid particle in the slurry carrier fluid

V_ts

terminal velocity of a perfectly spherical solid particle in the slurry carrier fluid