D-R-A-F-T
This term is scaled by the following
ρ 0 ρ'
ρL
=
δ 0 δ'
δL
=
∆t
=
tc
t'
This leads to the non-dimensionalized term
Equation 57
⎛ ρ δ ⎞ ρ 'δ '
S =⎜ 0 0 ⎟
⎝ H ∆ t ⎠ D 't'
(clay mass erosion/storage). The clay mass erosion to storage ratio is
Equation 58
⎛ ρ 0δ 0 ⎞ ⎛ C o ⎞ ⎛ ρ oδ 0
⎞
⎟=⎜
⎟ = Mr
⎟ ⎜
⎜
⎝ H ∆t ⎠ ⎝ ∆t ⎠ ⎜ C o H
⎟
⎝
⎠
This ratio reflects the relative mass entrained from the bed to the mass in the water
column.
(clay mass erosion/convection). The ratio of clay mass erosion to convection
is
Equation 59
⎞ ⎛ ρ0δ 0 L ⎞ M r
⎛ ρ0δ 0 ⎞ ⎛ C oV
⎟=⎜
⎜ C HV∆t ⎟ = C
⎟ ⎜
⎜
⎟
⎝ H∆t ⎠ ⎝ L
⎠ ⎝ o
⎠
n
(clay mass erosion/diffusion). The ratio of clay mass erosion to diffusion is
Equation 60
⎞ ⎛ ρ0δ 0 L ⎞ M r
⎛ ρ0δ 0 ⎞ ⎛ C o Dr
2
⎟=⎜
⎜ C D H∆t ⎟ = C Pe
⎜
⎟ ⎜
⎟
H∆t ⎠ ⎝ L2
⎝
⎠ ⎝ o r
⎠
n
Summary: Non-D Terms in the CD Equation
Non-dimensional Terms in the Convective-Diffusion Equation (SED2D-WES)
Advanced Techniques 51
Users Guide To SED2D-WES
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