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Engineering LibreTexts

9.4: Nomenclature Comparisons

  • Page ID
    32513
  • CD

    Particle drag coefficient

    -

    CL

    Lift coefficient

    -

    Cvt

    Delivered (transport) volumetric concentration

    -

    Cvs

    Spatial volumetric concentration

    -

    Cvb

    Spatial volumetric concentration bed (1-n)

    -

    Cx

    Durand & Condolios reversed particle Froude number

    -

    d

    Particle diameter

    m

    dm

    Mean particle diameter Fuhrboter

    m

    d50

    Particle diameter with 50% passing

    m

    Dp

    Pipe diameter

    m

    Erhg

    Relative excess hydraulic gradient

    -

    fl

    Fanning friction factor liquid

    -

    fm

    Fanning friction factor mixture

    -

    FL

    Lift force on particle

    N

    FL

    Durand & Condolios LDV Froude number

    -

    FW

    Submerged weight of particle

    N

    Fr

    Froude number

    -

    g

    Gravitational constant 9.81 m/s2

    m/s2

    il

    Pure liquid hydraulic gradient

    m/m

    im

    Mixture hydraulic gradient

    m/m

    K

    Durand & Condolios constant

    -

    K1

    Newitt constant

    -

    ΔL

    Pipe length

    m

    LR

    Lift force to submerged weight ratio

    -

    M

    Power Wilson heterogeneous model

    -

    n

    Porosity

    -

    Δpl

    Pressure loss liquid

    kPa

    Δpm

    Pressure loss mixture

    kPa

    R

    Stratification ratio

    -

    Re

    Reynolds number

    -

    Rsd

    Relative submerged density

    -

    Sk

    Fuhrboter particle coefficient

    m/s

    u*

    Friction velocity

    -

    vls

    Line speed

    m/s

    vls,hh

    Intersection velocity heterogeneous-homogeneous regimes

    m/s

    vls,ldv

    Limit Deposit Velocity

    m/s

    vmin

    Minimum hydraulic gradient line speed Jufin-Lopatin

    m/s

    vsl

    Slip velocity

    m/s

    vt

    Terminal settling velocity particle

    m/s

    αδv=d

    Influence factor thickness viscous sub layer

    -

    α1a

    Proportionality factor thickness viscous sub layer

    -

    α1b

    Offset factor thickness viscous sub layer

    -

    αHe=Ho

    Influence factor intersection heterogeneous – homogeneous regimes

    -

    α2a

    Proportionality factor intersection heterogeneous – homogeneous regimes

    -

    α2b

    Offset factor intersection heterogeneous – homogeneous regimes

    -

    αLR=1

    Influence factor lift ratio equals 1

    -

    α3a

    Proportionality factor lift ratio equals 1

    -

    α3b

    Offset factor lift ratio equals 1

    -

    β

    Richardson & Zaki hindered settling power

    -

    δv

    Viscous sub layer thickness

    m

    δv,hh

    Viscous sub layer thickness at intersection heterogeneous-homogeneous regimes

    m

    ε

    Pipe wall roughness

    -

    κC

    Concentration eccentricity factor

    -

    λl

    Darcy Weisbach friction factor liquid

    -

    λm

    Darcy Weisbach friction factor mixture

    -

    μsf

    Sliding friction factor

    -

    ρl

    Density liquid

    ton/m3

    ρs

    Density solid

    ton/m3

    \(\ v_{\mathrm{l}}\)

    Kinematic viscosity liquid

    m2/s

    Φ

    Durand & Condolios parameter

    -

    ψ

    Durand & Condolios parameter

    -

    ψ*

    Jufin-Lopatin particle Froude number

    -

    ζ

    Fit function Fuhrboter

    -

    Ct

    The Cát number (sand grains)

    -

    Thfv

    The Thy number (water) based on friction velocity

    -

    La

    The Lng number (sediment)

    -

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