SynopsisA theory has been developed following an experimental approach. It covers solids and fluids of any density. It has been verified in detail upon
experiments of solid transport in water extracted from the technical literature. Table of Contents
A GENERAL THEORY OF THE HYDRAULIC

Dimensional  Non  dimensional  
D  →  Δ°  Pipe diameter 
d  →  δ  particle diameter 
f    friction factor  
g    acceleration due to gravity  
I  hydraulic gradient  
k  →  size of a wall excrescence  
L  →  Λ  a length 
RE  stream Reynolds number  
  Reynolds number of a particle at the boundary  
Sh    Shields number referred to the particle diameter  
SH    Shields number referred to the pipe diameter  
V  →  Ω  mean velocity of the stream 
→  friction velocity of the stream at the boundary  
x    volumetric solid concentration  
  a parameter  
β  1, 11    a factor 
ε    a parameter  
η    a small quantity (versus 1)  
μ  an excess density  
  kinematic viscosity  
ρ    density of the fluid phase  
  density of the solid phase  
suffix  10 means → 1 and x → 0  
lx means 1 and x > 0  
μ 0 means μ ≠ 0 and x → 0  
μ x means μ ≠ 0 and x > 0  
βx means 1,11x 
