coefficient for the bed source/sink terms, kg/(m3-sec)

α2

=

The general characteristics of the governing equation are best understood by

performing dimensionless analysis of the equation to develop the characteristics for

certain conditions. To facilitate the analysis the following scaling factors are applied

=

∆t

=

=

=

=

=

=

=

The source/sink term coefficients α1 and α2 vary for sand and clay and whether

deposition or erosion is occurring. These conditions will be addressed separately

later. For the first analysis, sand deposition will be assumed.

For sand deposition the source sink terms take on the form

(*C *- *G * p )*V*s

where

transport potential from Ackers-White , kg/m3

=

=

sediment fall velocity, m/s

=

scale length factor deposition, dimensionless

=

water depth, m

For this condition, the following scaling factors are used

=

=

=

From the application of these scaling factors we get

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