Sediment Transport: Difference between revisions

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==Lund-CIRP Transport Equations==
==Lund-CIRP Transport Equations==
Camenen and Larson (2005, 2007, and 2008) developed a general sediment transport formula for bed and suspended load under combined waves and currents. The current-related bed load transport is given by
Camenen and Larson (2005, 2007, and 2008) developed a general sediment transport formula for bed and suspended load under combined waves and currents.  
{{Equation|<math> \frac{q_{b}}{\sqrt{(s-1)g*d^3}} = a_c \sqrt{\theta_c} \theta_{cw}\exp{ \biggl ( -b_c \frac{\theta_{cr}}{\theta_{cw}}} \biggr ) </math>|2=1}}


where
=== Bed load===
The current-related bed load transport with wave stirring is given by
{{Equation|<math> \frac{q_{b}}{\sqrt{(s-1)gd^3}} = a_c \sqrt{\theta_c} \theta_{cw}\exp{ \biggl ( -b_c \frac{\theta_{cr}}{\theta_{cw}}} \biggr ) </math>|2=1}}
 
=== Suspended load ===
The current-related suspended load transport with wave stirring is given by
{{Equation|<math> \frac{q_{s}}{\sqrt{(s-1)gd^3}} = U c_R \frac{\eps}{\w_s} \biggl[ 1 - \exp{ \biggl ( - \frac{w_s d}}{\eps}}} \biggr ) \biggr] </math>|2=2}}
 
{| border="1"
! Symbol !! Description !! Units
|-
|<math> q_{bc} </math> || Bed load transport rate || m<sup>3</sup>/s
|-
|<math> s </math> ||  Relative density|| m
|-
|<math> \theta_{c}  </math> || Shields parameter due to currents || -
|-
|<math> \theta_{cw} </math> ||  Shields parameter due to waves and currents || -
|-
|<math> \theta_{cw}</math> ||  Critical shields parameter  || -
|-
|<math> a_c </math> || Empirical coefficient || -
|-
|<math> b_c </math> || Empirical coefficient || -
|}

Revision as of 21:42, 15 October 2010

Lund-CIRP Transport Equations

Camenen and Larson (2005, 2007, and 2008) developed a general sediment transport formula for bed and suspended load under combined waves and currents.

Bed load

The current-related bed load transport with wave stirring is given by

  (1)

Suspended load

The current-related suspended load transport with wave stirring is given by

  Failed to parse (unknown function "\eps"): {\displaystyle \frac{q_{s}}{\sqrt{(s-1)gd^3}} = U c_R \frac{\eps}{\w_s} \biggl[ 1 - \exp{ \biggl ( - \frac{w_s d}}{\eps}}} \biggr ) \biggr] } (2)
Symbol Description Units
Bed load transport rate m3/s
Relative density m
Shields parameter due to currents -
Shields parameter due to waves and currents -
Critical shields parameter -
Empirical coefficient -
Empirical coefficient -
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