WMS:Kirpich Tc Equation: Difference between revisions

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Kirpich’s equation (1940) was developed for small, agricultural watersheds. It was derived by examining the required time for the stream to rise from low to maximum stage during a storm. The time of concentration was then assumed equal to that time.
Kirpich’s equation (1940) was developed for small, agricultural watersheds. It was derived by examining the required time for the stream to rise from low to maximum stage during a storm. The time of concentration was then assumed equal to that time.


:<math>t_c \frac {0.00013 L^{0.77}} {S^{0.385}}  </math>
:<math>t_c = \frac {0.00013 L^{0.77}} {S^{0.385}}  </math>


where:
where:


:<math>t_c</math> = time of concentration in hours.
:''t<sub>c</sub>'' = time of concentration in hours.


:<math>L</math> = length of the overland flow in feet.
:''L'' = length of the overland flow in feet.


:<math>S</math> = average overland slope in ft/ft.
:''S'' = average overland slope in ft/ft.


This equation given below was developed for overland flow on bare earth. For overland flow on grassy earth, tc should be multiplied by 2.0. On concrete and asphalt surface it should be multiplied by 0.4. An adjustment is made for watersheds with a <math>CN</math> number less than 80 using the following equation:
This equation given below was developed for overland flow on bare earth. For overland flow on grassy earth, ''t<sub>c</sub>'' should be multiplied by 2.0. On concrete and asphalt surface it should be multiplied by 0.4. An adjustment is made for watersheds with a ''CN'' number less than 80 using the following equation:


:<math>t_c = t_c \ast (1 + (80 - CN) \ast 0.04)  </math>
:<math>t_c = t_c \ast (1 + (80 - CN) \ast 0.04)  </math>


The <math>CN</math> value must be defined for the given model (HEC-1, TR-20, etc.), otherwise a default <math>CN</math> of 50 is used.
The ''CN'' value must be defined for the given model (HEC-1, TR-20, etc.), otherwise a default ''CN'' of 50 is used.




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{{WMSMain}}
{{WMSMain}}
[[Category:Equations|Kirpich]]
[[Category:WMS Basins|Kirpich]]
{{stub}}

Latest revision as of 15:57, 7 December 2016

Kirpich’s equation (1940) was developed for small, agricultural watersheds. It was derived by examining the required time for the stream to rise from low to maximum stage during a storm. The time of concentration was then assumed equal to that time.

where:

tc = time of concentration in hours.
L = length of the overland flow in feet.
S = average overland slope in ft/ft.

This equation given below was developed for overland flow on bare earth. For overland flow on grassy earth, tc should be multiplied by 2.0. On concrete and asphalt surface it should be multiplied by 0.4. An adjustment is made for watersheds with a CN number less than 80 using the following equation:

The CN value must be defined for the given model (HEC-1, TR-20, etc.), otherwise a default CN of 50 is used.


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