3.9: Nomenclature
- Page ID
- 29971
Aobj |
Cross section of object perpendicular to velocity direction |
m2 |
Apw |
Pipe wall surface |
m2 |
Ap |
Pipe cross section |
m2 |
CD |
Drag coefficient |
- |
Cvs |
Spatial volumetric concentration |
- |
d |
Particle diameter |
m |
de |
Diameter smallest eddy |
m |
Dp |
Pipe diameter |
m |
f |
Fanning friction factor |
- |
Fdrag |
Drag force on object |
N |
g |
Gravitational constant 9.81 m/sec2 |
m/s2 |
i, il, iw |
Hydraulic gradient liquid |
m.w.c./m |
im |
Hydraulic gradient mixture |
m.w.c./m |
ΔL |
Length of pipeline |
m |
Δpl |
Pressure difference over length ΔL liquid |
kPa |
Δpm |
Pressure difference over length ΔL pseudo homogeneous mixture |
kPa |
Re |
Reynolds number of pipe flow |
- |
Stk |
Stokes number |
- |
u* |
Friction velocity |
m/s |
vls |
Line speed |
m/s |
α |
Proportionality constant |
- |
α1 |
Power of line speed |
- |
α2 |
Power of pipe diameter |
- |
δv |
Thickness viscous sub-layer |
m |
ε |
Roughness of pipe wall |
m |
λl |
Darcy-Weisbach friction factor liquid to wall |
- |
ρl |
Liquid density |
ton/m3 |
ρm |
Mixture density |
ton/m3 |
μl |
Dynamic viscosity liquid |
Pa·s |
μm |
Dynamic viscosity pseudo homogeneous mixture |
Pa·s |
μr |
Relative dynamic viscosity |
- |
\(\ v_{\mathbf{l}}\) |
Kinematic viscosity liquid |
m2/s |
\(\ v_{\mathbf{m}}\) |
Kinematic viscosity pseudo homogeneous mixture |
m2/s |
\(\ v_{\mathbf{r}}\) |
Relative kinematic viscosity |
- |
\(\ \boldsymbol{\tau}_{\mathbf{w}}\) |
Wall shear stress |
Pa |