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pdf, 12 MiB - Infoscience - EPFL

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Notations<br />

K S [m 1/3 /s] roughness coefficient of STRICKLER<br />

k x [-] coefficient of proportionality<br />

L [N] dynamic lift force<br />

m [-] bank slope<br />

n [s/m 1/3 ] friction coefficient of MANNING 1 ⁄ n = K S<br />

n [-] friction factor used by Zimmermann n = 1.13 ⁄ f<br />

p [-] porosity<br />

P [m] wetted perimeter<br />

p i<br />

[-] part (weight) of the sediment fraction i of a sediment sample<br />

Q [m3/s] discharge<br />

q i<br />

[-] probability that the fraction i of a sediment sample will stay in<br />

place (no movement)<br />

r [m] radius of curvature<br />

R [-] Pearson product moment correlation coefficient<br />

[m]<br />

radius of curvature at the centerline<br />

R c<br />

Re [-] Reynolds number Re = V ⋅4R h ⁄ ν<br />

Re* [-] Grain or shear Reynolds number Re∗<br />

=<br />

V∗ ⋅ d ⁄ ν<br />

[-] Hydraulic radius<br />

R h<br />

s [-] sediment density coefficient s ρ s ρ w<br />

= ⁄ = 2.635<br />

sig [-] sign ±1 depending on the boundary condition; used for the<br />

establishment of a new scour formula<br />

S [-] longitudinal slope<br />

V, v [m/s] average respectively local velocity<br />

Vol [m 3 ] volume<br />

V * [m/s] friction velocity V∗ = τ 0 ⁄ ρ w = g⋅<br />

R h ⋅ S e<br />

X, x [m] carthesian coordinates in stream direction (inlet reach)<br />

Y, y [m] carthesian coordinates in lateral/radial direction<br />

Z, z [m] carthesian coordinates - elevation<br />

α 1 , α 2<br />

[°] location of the first / second scour hole (opening angle<br />

between beginning of the bend and the scour hole)<br />

page 202 / November 9, 2002<br />

Wall roughness effects on flow and scouring

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