⎛ *C *oV ⎞ ( *C *'- *G *p ' )*V * m '

⎜*L H *⎟

α 1C + α 2 = - ⎜

⎟

⎠

⎝ er

⎞⎛ *V * s ∆ *t *⎞

⎞ ⎛* V*

⎛ *C * o ⎞ ⎛ *V*∆*t*

⎛ *C * oV ⎞

⎟⎜

⎟=⎜

⎟=⎜

⎜

⎜*L H *⎟

⎟ * H *⎟ = *V*rC v

⎜

⎟

⎟ ⎜*V L*

⎝ ∆ *t *⎠ ⎜ *L*er H

⎠

⎠⎝

⎝

⎠

⎠ ⎝ s er

⎝

The term Lde ,already dimensionless, so that this non-dimensional term is the vertical

advective Courant number multiplied by a velocity ratio, Vr, of the current velocity

and the fall velocity times the entrainment length factor Ler.

⎞ * C * ve

⎛ *C * oV ⎞ ⎛ * L*

⎛ *C * oV ⎞

⎟=

⎟=⎜

⎜*L H *⎟

⎜

⎜

⎟

⎟* C*

⎝ *L *⎠ ⎜ *L*er H

⎝ er ⎠

⎠

⎝

⎛ *C *o D r ⎞ ⎛ * VL*

⎞ * C *ve

⎛ *C *oV ⎞

⎟=⎜

⎟=

⎜*L H *⎟

⎜

⎜

⎟

⎠ ⎜ *D * r L er H

⎟

⎝* L*

⎝ er

⎠

⎝

⎠

Clay deposition in SED2D is represented by

⎞

τ

α1C + α 2 =

⎜1 -

⎟

⎟

⎝

⎠

where:

bottom shear stress, N-m/sec2

τ

=

critical bottom shear stress for deposition, N-m/sec2

τd

=

=

the effective fall velocity, m/sec

These terms will all scale as before and the term in parentheses that includes the ratio

of shear stresses is already non-dimensional. The effective fall velocity is used for

clay deposition because for clay the relationship between concentration and fall

velocity, if the option is used in the program, is nonlinear.

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