WMS:TR-55 Sheet Flow Equation: Difference between revisions

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Sheet flow generally occurs in the headwater of streams. The following equation is used to describe sheet flow:
Sheet flow generally occurs in the headwater of streams. The following equation is used to describe sheet flow:


 
: <math>T_t = \frac {0.007(nL)^{0.8}}{(P_2)^{0.5}s^{0.4}}  </math>
[[Image:WMSEqation132.png]]
 


where:
where:


: <math>T_t</math> = travel time (hr).
: ''T<sub>t</sub>'' = travel time (hr).
: <math>n</math> = Manning’s roughness coefficient (see Table 3-1 of the TR-55).
: ''n'' = Manning’s roughness coefficient (see Table 3-1 of [ftp://ftp.wcc.nrcs.usda.gov/wntsc/H&H/other/TR55documentation.pdf the TR-55 manual]).
: <math>L</math> = flow path length (ft).
: ''L'' = flow path length (ft).
: <math>P_2</math> = 2year, 24 hour rainfall (in).
: ''P<sub>2</sub>'' = 2year, 24 hour rainfall (in).
: <math>s</math> = slope of the hydraulic grade line (ground slope) in ft/ft.
: ''s'' = slope of the hydraulic grade line (ground slope) in ft/ft.


2 year, 24 hour rainfall values can be determined from the map in appendix B-4 of the TR-55 reference manual for eastern US locations and from the NOAA Atlas 2 maps for the western US locations.
2 year, 24 hour rainfall values can be determined from the NOAA Atlas 2 or NOAA Atlas 14 maps for many US locations or from the map in appendix B-4 of [ftp://ftp.wcc.nrcs.usda.gov/wntsc/H&H/other/TR55documentation.pdf the TR-55 reference manual] for eastern US locations.


Generally the sheet flow equation should not be used for lengths greater than 300 feet.
Generally the sheet flow equation should not be used for lengths greater than 300 feet. This simplified form of the Manning’s kinematic solution is based on the following:
# Shallow steady uniform flow,
# Constant intensity of rainfall excess (that part of a rain available for runoff),
# Rainfall duration of 24 hours, and
# Minor effect of infiltration on travel time.


==Related Topics==
==Related Topics==
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{{WMSMain}}
{{WMSMain}}
[[Category:Equations|TR-55 Sheet]]
[[Category:TR-55|S]]
[[Category:External Links]]

Latest revision as of 15:51, 6 December 2016

Sheet flow generally occurs in the headwater of streams. The following equation is used to describe sheet flow:

where:

Tt = travel time (hr).
n = Manning’s roughness coefficient (see Table 3-1 of the TR-55 manual).
L = flow path length (ft).
P2 = 2year, 24 hour rainfall (in).
s = slope of the hydraulic grade line (ground slope) in ft/ft.

2 year, 24 hour rainfall values can be determined from the NOAA Atlas 2 or NOAA Atlas 14 maps for many US locations or from the map in appendix B-4 of the TR-55 reference manual for eastern US locations.

Generally the sheet flow equation should not be used for lengths greater than 300 feet. This simplified form of the Manning’s kinematic solution is based on the following:

  1. Shallow steady uniform flow,
  2. Constant intensity of rainfall excess (that part of a rain available for runoff),
  3. Rainfall duration of 24 hours, and
  4. Minor effect of infiltration on travel time.

Related Topics


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