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10.7: Nomenclature Application of the Theory on a Cutter Suction Dredge

  • Page ID
    32679
  • Ap,o

    Cross section suction pipe (pipe segment 0)

    m2

    Ap,i

    Cross section pipe segment i

    m2

    Cvs

    Spatial volumetric concentration

    -

    Cvt

    Transport/delivered volumetric concentration

    -

    d

    Particle diameter

    m

    Dp

    Pipe diameter

    m

    Dp,0

    Pipe diameter suction pipe (pipe segment 0)

    m

    Dp,i

    Pipe diameter pipe segment i

    m

    Erhg

    Relative excess hydraulic gradient

    -

    Erhg,0

    Relative excess hydraulic gradient suction pipe (pipe segment 0)

    -

    Erhg,i

    Relative excess hydraulic gradient pipe section i

    -

    FL

    Limit Deposit Velocity Froude number

    -

    g

    Gravitational constant (9.81)

    m/s2

    H0,in

    Elevation of suction mouth (negative)

    m

    H0,out

    Elevation entrance of first pump/end of suction pipe (may be negative)

    m

    Hi,in

    Elevation start of pipe segment i

    m

    Hi,out

    Elevation end of pipe segment i

    m

    Hn,out

    Elevation end of the pipeline system (discharge)

    m

    Hwl

    Elevation waterline (defined as zero)

    m

    i

    Index pipe segment

    -

    il

    Hydraulic gradient liquid

    -

    l

    Index fitting

    -

    Ltot

    Total pipeline length

    m

    L0

    Length suction pipe (pipe segment 0)

    m

    Li

    Length of pipe section i

    m

    m0

    Number of fittings in suction pipe (pipe segment 0)

    -

    mi

    Number of fittings in pipe segment i

    -

    n

    Number of pipe segments

    -

    p

    Absolute pressure

    kPa

    pcav

    Absolute pressure to avoid cavitation

    kPa

    patm

    Atmospheric pressure (normally 100 kPa)

    kPa

    p0,in

    Absolute pressure at suction mouth (pipe segment 0)

    kPa

    p0,out

    Absolute pressure at the end of the suction pipe (pipe segment 0)

    kPa

    pe,k+1

    Absolute pressure at entrance pump k+1

    kPa

    pd,k+1

    Absolute pressure at discharge pump k+1

    kPa

    Δp

    Pressure difference

    kPa

    Δpm

    Pressure loss in pipeline

    kPa

    Δpm,0

    Pressure loss in suction pipe (pipe segment 0)

    kPa

    Δpm,i

    Pressure loss in pipe segment i

    kPa

    Δpp,i

    Pump head pump i

    kPa

    Qgw,i

    Additional glad water flow in pump i

    m3/s

    Qm

    Mixture flow

    m3/s

    Qm,0

    Mixture flow in suction pipe (pipe segment 0)

    m3/s

    Qm,i

    Mixture flow in pipe segment i

    Rsd

    Relative submerged density solids

    -

    vls

    Line speed

    m/s

    vls,ldv

    Limit Deposit Velocity (LDV)

    m/s

    vls,0

    Line speed in suction pipe (pipe segment 0)

    m/s

    vls,i

    Line speed in pipe segment i

    m/s

    ρl

    Liquid density

    ton/m3

    ρm

    Mixture density

    ton/m3

    ρm,0

    Mixture density in suction pipe (pipe segment 0)

    ton/m3

    ρm,i

    Mixture density in pipe segment i

    ton/m3

    λl

    Darcy Weisbach friction factor

    -

    λl,0

    Darcy Weisbach friction factor in suction pipe (pipe segment 0)

    -

    λl,i

    Darcy Weisbach friction factor in pipe section i

    -

    θ0

    Pipe inclination angle suction pipe (pipe segment 0)

    o

    θi

    Pipe inclination pipe segment i

    o

    ξl,0

    Fittings factor of fitting l in suction pipe (pipe segment 0)

    -

    ξl,i

    Fittings factor of fitting l in pipe segment i

    -

    μsf

    Sliding friction factor (0.3-0.5)

    -

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