Parameters

VIP Ghat

OBM Ghat

Equations

Current related shear velocity, $u_{\ast }$ (m/s)

FT = 0.054

FE = 0.063

FT = 0.074

FE = 0.085

$u\left(z\right)=\frac{u_{\ast }}{k}\ln \left(\frac{z}{z_0}\right)$

Current related shear stress ${\tau }_b$ (Nm⁻²)

FT = 2.94

FE = 4.12

FT = 5.57

FE = 7.41

${\tau }_b={\rho }_w{u}_{\ast }^2$

Dimensionless grain size, $D_{\ast }$

2.38 ≈ 2.4

2.39 ≈ 2.4

$D_{\ast }={\left[\frac{\left(s-1\right)g}{\upsilon ²}\right]}^{1/3}{D}_{50}$

Critical shear velocity $u_{\ast ,cr,suspension}$ (m/s)

0.0128

0.0128

${\theta }_{cr,s}=\frac{u_{\ast ,cr,sus}^2}{\left(s-1\right)gD}=\frac{w_s^2}{\left(s-1\right)gD}=\frac{0.3}{1+D_{\ast }}+0.1\left[1-{\text{e}}^{-0.05D_{\ast }}\right]$

Settling velocity, w_s (m/s)

0.0073

0.0073

$w_s=\frac{\nu }{D}\left[{\left({10.36}^2+1.049D_{\ast }^3\right)}^{\frac{1}{2}}-10.36\right]$

Rouse number, N

FT = 0.34

FE = 0.29

FT = 0.25

FE = 0.22

$N=\frac{w_s}{\beta \kappa u_{\ast }}$

Reference concentration, C_a (mg/l) at a = 0.155 m

FT 690.0

FE 406.7

FT 560.0

FE 156.2

Field data analyzed in laboratory

Transport stage parameter, T

FT = 16.8

FE = 23.0

FT = 32.4

FE = 43.0

$\frac{{\tau }_b-{\tau }_{cr}}{{\tau }_{cr}}$ or $\frac{u_{\ast }^2-u_{\ast ,cr}^2}{u_{\ast ,cr}^2}$