10.7: Nomenclature Application of the Theory on a Cutter Suction Dredge
- Page ID
- 32679
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)
( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\id}{\mathrm{id}}\)
\( \newcommand{\Span}{\mathrm{span}}\)
\( \newcommand{\kernel}{\mathrm{null}\,}\)
\( \newcommand{\range}{\mathrm{range}\,}\)
\( \newcommand{\RealPart}{\mathrm{Re}}\)
\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)
\( \newcommand{\Argument}{\mathrm{Arg}}\)
\( \newcommand{\norm}[1]{\| #1 \|}\)
\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)
\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)
\( \newcommand{\vectorA}[1]{\vec{#1}} % arrow\)
\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow\)
\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vectorC}[1]{\textbf{#1}} \)
\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)
\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)
\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)
\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)
\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)
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) |
- |