6.16: Nomenclature
- Page ID
- 34787
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)|
a1,a2 |
Weight factors k-value (permeability) |
- |
|
A |
Surface |
m2 |
|
bpr |
Projected width of the blade perpendicular to the velocity direction |
m |
|
ci ,c1 ,c2 |
Coefficients (non-cavitating cutting process) |
- |
|
cr |
Coefficient side effects |
- |
|
cs |
Wear coefficient |
- |
|
ct |
Coefficient total cutting force (non-cavitating cutting process) |
- |
|
cts |
Coefficient total cutting force including wear effects |
- |
|
ctr |
Coefficient total cutting force including side effects |
- |
|
di ,d1 ,d2 |
Coefficients (cavitating cutting process) |
- |
|
dr |
Coefficient side effects |
- |
|
ds |
Wear coefficient |
- |
|
dt |
Coefficient total cutting force (cavitating cutting process) |
- |
|
dts |
Coefficient total cutting force including wear |
- |
|
dtr |
Coefficient total cutting force including side effects |
- |
|
Esp |
Specific cutting energy |
kN/m2 |
|
Egc |
Specific cutting energy (no cavitation) |
kN/m2 |
|
Eca |
Specific cutting energy (full cavitation) |
kN/m2 |
|
Fci |
Cutting force (general) |
kN |
|
Fcit |
Total cutting force (general) |
kN |
|
Fh |
Horizontal cutting force (parallel to the cutting speed) |
kN |
|
Fl |
Cutting force parallel to the edge of the blade |
kN |
|
Fn |
Normal force |
kN |
|
Fv |
Vertical cutting force (perpendicular to the cutting velocity) |
kN |
|
Fw |
Friction force |
kN |
|
Fx |
Cutting force in x-direction (longitudinal) |
kN |
|
Fxt |
Total cutting force in x-direction (longitudinal) |
kN |
|
Fy |
Cutting force in y-direction (transversal) |
kN |
|
Fyt |
Total cutting force in y-direction (transversal) |
kN |
|
Fz |
Cutting force in z-direction (vertical) |
kN |
|
g |
Gravitational acceleration |
m/s2 |
|
hi |
Initial layer thickness |
m |
|
hb |
Blade height |
m |
|
k |
Permeability |
m/s |
|
ki |
Initial permeability |
m/s |
|
kmax |
Maximum permeability |
m/s |
|
km |
Effective permeability |
m/s |
|
K1 |
Grain force on the shear zone |
kN |
|
K2 |
Grain force on the blade |
kN |
|
l |
Length of the shear zone |
m |
|
n |
Normal on an edge |
m |
|
n |
Porosity |
- |
|
ni |
Initial pore percentage |
% |
|
nmax |
Maximum pore percentage |
% |
|
N1 |
Normal force on the shear zone |
kN |
|
N2 |
Normal force on the blade |
kN |
|
p |
Number of blades excavating element |
- |
|
p |
Pressure (water pressure) |
kPa |
|
patm |
Atmospheric pressure |
kPa |
|
Pcalc |
Calculated dimensionless pressure (water pore pressure) |
- |
|
pdamp |
Saturated water pore pressure (12 cm.w.c.) |
kPa |
|
Preal |
Real pore pressure (water pore pressure) |
kPa |
|
p1m |
Average pore pressure in the shear zone |
- |
|
p2m |
Average pore pressure on the blade |
- |
|
Pc |
Drive power excavating element |
kW |
|
q, q1 ,q2 |
Specific flow |
m/s |
|
Q |
Flow per unit of blade width |
m2/s |
|
s |
Length of a stream line |
m |
|
s |
Measure for the layer thickness |
m |
|
S1 |
Shear force on the shear zone |
kN |
|
S2 |
Shear force on the blade |
kN |
|
vc |
Cutting velocity perpendicular to the edge of the blade |
m/s |
|
V |
Volume strain per unit of blade width |
m2 |
|
w |
Width of blade of blade element |
m |
|
W1 |
Pore pressure force on the shear zone |
kN |
|
W2 |
Pore pressure force on the blade |
kN |
|
x |
Coordinate |
m |
|
y |
Coordinate |
m |
|
z |
Coordinate |
m |
|
z |
Water depth |
m |
|
α |
Blade angle |
rad |
|
β |
Shear angle |
rad |
|
ε |
Volume strain |
- |
|
φ |
Angle of internal friction |
rad |
| δ |
Soil/steel interface friction angle |
rad |
|
ρg |
Wet density of the sand |
ton/m3 |
|
ρs |
Dry density of the sand |
ton/m3 |
|
ρw |
Density of water |
ton/m3 |
|
θr |
Angular displacement force vector as a result of side effects |
rad |
|
θs |
Angular displacement force vector as a result of wear |
rad |
|
θt |
Angle force vector angle in relation to cutting velocity vector |
rad |
|
θts |
Angle force vector angle in relation to velocity vector including wear |
rad |
|
θtr |
Angle force vector angle in relation to velocity vector including side effects |
rad |
|
Θr |
Angular displacement force vector as a result of side effects |
rad |
|
Θs |
Angular displacement force vector as a result of wear |
rad |
|
Θt |
Angle force vector angle in relation to cutting velocity vector |
rad |
|
Θts |
Angle force vector angle in relation to velocity vector including wear |
rad |
|
Θtr |
Angle force vector angle in relation to velocity vector including side effects |
rad |