Symbols - Sediment Transport in Irrigation Canals: A New Approach - page 228

Symbol Quantity Unit Dimension

LT − 1

u ∗ Shear velocity (m/s)

LT − 1

u ∗ cr Critical shear velocity (m/s)

LT − 1

u , v , w Component of velocity in the X , Y and Z direction (m/s)

LT − 1

v Local velocity in x direction (m/s)

(m 3 ) L 3

V Volume

LT − 1

V Mean velocity of flow (m/s)

LT − 1

v ∗ Shear velocity (m/s)

LT − 1

v ∗ C Critical value of v ∗ associated with incipient motion (m/s)

of bed particles

LT − 1

V cr Critical mean velocity (m/s)

LT − 1

v y Local velocity in y direction (m/s)

LT − 1

v av average velocity of the water (m/s)

LT − 1

w Local velocity in z direction; (m/s)

LT − 1

w s Fall velocity of a sediment particle (m/s)

x Horizontal scale (m) L

x , y , z Cartesian coordinates (m) L

y Flow depth; vertical scale; water depth (m) L

y c Critical depth (m) L

y n Normal depth (m) L

z Distance (m) L

z Bed elevation above datum (m) L

Z Suspension number (-) -

∞ Infinite (-) -

LIST OF GREEK SYMBOLS

Symbol Quantity Unit Dimension

α Correction factor (-) -

α Angle Radian -

β Momentum correction factor (Boussinesq) (-) -

(N/m 3 ) FL − 3

γ Specific weight

γ d Form factor (-) -

γ r Ripple presence (-) -

δ b Saltation height (m) L

δ Bed form height (m) L

δ Boundary layer thickness (m) L

Increment (-) -

Relative density: = ( ρ s − ρ )/ ρ (-) -

Bed form height (m) L

λ Bed form length (m) L

(m 2 /s) L 2 T − 1

ε Mixing coefficient

(kgs/m 2 ) FTL − 2

η Eddy viscosity

σ s Geometric standard deviation (-) -

ρ Density (kg/m 3 )

FT 2 L − 4

ρ s Density of the sediment particles (kg/m 3 ) FT 2 L − 4

( Continued )