{"id":782,"date":"2017-11-08T21:15:49","date_gmt":"2017-11-08T21:15:49","guid":{"rendered":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/?post_type=ht_kb&#038;p=782"},"modified":"2025-03-24T13:33:42","modified_gmt":"2025-03-24T13:33:42","slug":"time-of-concentration","status":"publish","type":"ht_kb","link":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/knowledge-base\/time-of-concentration\/","title":{"rendered":"Time of Concentration"},"content":{"rendered":"\n<p>In addition to manual entry, Hydrology Studio computes Time of Concentration using one of three methods,<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Lag<\/li>\n\n\n\n<li>Kirpich<\/li>\n\n\n\n<li>TR55<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">Lag Method<\/h2>\n\n\n\n<p>This is the TR-20 default method where:<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"97\" height=\"26\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQLag.png\" alt=\"\" class=\"wp-image-783\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQLag.png 97w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQLag-50x13.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQLag-60x16.png 60w\" sizes=\"auto, (max-width: 97px) 100vw, 97px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"132\" height=\"62\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqUnitLag.png\" alt=\"\" class=\"wp-image-769\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqUnitLag.png 132w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqUnitLag-50x23.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqUnitLag-60x28.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqUnitLag-100x47.png 100w\" sizes=\"auto, (max-width: 132px) 100vw, 132px\" \/><\/figure>\n\n\n\n<p>Where:<br>L = Lag time (hrs)<br>l = Hydraulic length<br>S = (1000 \/ CN) &#8211; 10<br>Y = Average basin slope (%)<br>CN = Curve number<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Kirpich Method<\/h2>\n\n\n\n<p>Generally used for natural basins with well defined routes for overland flow along bare earth or mowed grass roadside channels. It is similar to the Lag method but will give shorter times compared to the Lag method.<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"174\" height=\"39\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqKirpich.png\" alt=\"\" class=\"wp-image-784\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqKirpich.png 174w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqKirpich-50x11.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqKirpich-60x13.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqKirpich-100x22.png 100w\" sizes=\"auto, (max-width: 174px) 100vw, 174px\" \/><\/figure>\n\n\n\n<p>Where:<br>Tc = Time of concentration (min)<br>L = Hydraulic length (ft)<br>S = Average basin slope (ft\/ft)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">TR-55 Method (NRCS Velocity Method)<\/h2>\n\n\n\n<p>Tc is broken into 3-components or segments as prescribed by TR55 and is also known as the NRCS Velocity method. The final Tc is the sum total of the three components.<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"410\" height=\"231\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff.png\" alt=\"Tc by TR55\" class=\"wp-image-3175\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff.png 410w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff-300x169.png 300w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff-50x28.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff-60x34.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/TR55Runoff-100x56.png 100w\" sizes=\"auto, (max-width: 410px) 100vw, 410px\" \/><\/figure>\n\n\n\n<p>Tc = TSheet + TShallow + TChannel (minutes)<\/p>\n\n\n    \t\t<div class=\"hts-messages hts-messages--alert   hts-messages--withicon \"   >\r\n    \t\t\t    \t\t\t    \t\t\t\t<p>\r\n    \t\t\t\t\tSlopes are inputted in percent in Hydrology Studio, not ft\/ft as in TR55. Hydrology Studio converts your input to ft\/ft.    \t\t\t\t<\/p>\r\n    \t\t\t    \t\t\t\r\n    \t\t<\/div><!-- \/.ht-shortcodes-messages -->\r\n    \t\t\n\n\n\n<h3 class=\"wp-block-heading\">Sheet Flow Time<\/h3>\n\n\n\n<p>Flow over plane surfaces and typically ranges between 125 to 150 feet.<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"171\" height=\"62\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQTR55Sheet.png\" alt=\"\" class=\"wp-image-790\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQTR55Sheet.png 171w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQTR55Sheet-50x18.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQTR55Sheet-60x22.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EQTR55Sheet-100x36.png 100w\" sizes=\"auto, (max-width: 171px) 100vw, 171px\" \/><\/figure>\n\n\n\n<p>Where:<br>n = Manning\u2019s roughness coefficient<br>L = Flow Length (must be &lt;=100 ft)<br>P2 = Two-year 24-hr rainfall (in)<br>S = Land Slope (ft\/ft)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Shallow Concentrated Flow Time<\/h3>\n\n\n\n<p>After about 100 feet, sheet flow becomes shallow concentrated flow.\u00a0The computed Average Velocity described below is\u00a0based on the solution of\u00a0Manning\u2019s equation with different assumptions for n (Manning\u2019s roughness coefficient) and r\u00a0(hydraulic radius, ft).\u00a0 For example, per TR55, for\u00a0for Paved areas, n is 0.025 and r is 0.2; Unpaved areas, n is 0.05 and\u00a0r is 0.4.\u00a0<\/p>\n\n\n\n<p>Shallow concentrated flow is\u00a0assumed not to have a well-defined channel and has a flow depth of 0.1 to 0.5 feet.<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"154\" height=\"56\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow.png\" alt=\"\" class=\"wp-image-789\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow.png 154w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow-150x56.png 150w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow-50x18.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow-60x22.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Shallow-100x36.png 100w\" sizes=\"auto, (max-width: 154px) 100vw, 154px\" \/><\/figure>\n\n\n\n<p>Where:<br>L = Flow Length (ft)<br>V = Average velocity (ft\/s) and<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"95\" height=\"33\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Vel.png\" alt=\"\" class=\"wp-image-791\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Vel.png 95w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Vel-50x17.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Vel-60x21.png 60w\" sizes=\"auto, (max-width: 95px) 100vw, 95px\" \/><\/figure>\n\n\n\n<p>Where:<br>Cp = 20.328 Paved<br>Cp = 16.1345 Unpaved, grassed waterways in urban setting<br>Cp = 9.965&nbsp; Nearly bare and untilled<br>Cp = 8.762 Cultivated, straight row crops<br>Cp = 6.962 Prairie, short-grass<br>Cp = 5.032 Minimum tillage cultivation, and woodlands<br>Cp = 2.516 Forest with heavy ground litter<br>S = Watercourse slope (ft\/ft)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Channel Flow Time<\/h3>\n\n\n\n<p>Occurs within channels, swales, ditches, streams or even piped systems. Manning&#8217;s equation is used to compute velocity.<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"155\" height=\"53\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Ch.png\" alt=\"\" class=\"wp-image-787\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Ch.png 155w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Ch-50x17.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Ch-60x21.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55Ch-100x34.png 100w\" sizes=\"auto, (max-width: 155px) 100vw, 155px\" \/><\/figure>\n\n\n\n<p>Where:<br>L = Flow length (ft)<br>V = Average velocity (ft\/s) and<\/p>\n\n\n\n<figure class=\"wp-block-image is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"139\" height=\"58\" src=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55ChVel.png\" alt=\"\" class=\"wp-image-788\" srcset=\"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55ChVel.png 139w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55ChVel-50x21.png 50w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55ChVel-60x25.png 60w, https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-content\/uploads\/sites\/2\/2017\/11\/EqTR55ChVel-100x42.png 100w\" sizes=\"auto, (max-width: 139px) 100vw, 139px\" \/><\/figure>\n\n\n\n<p>Where:<br>V = Average velocity (ft\/s)<br>R = Hydraulic radius (ft) = a\/wp<br>S = Channel slope (ft\/ft)<br>n = Manning\u2019s roughness coefficient<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Describes methodologies for computing time of concentration, Tc<\/p>\n","protected":false},"author":1,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":{"footnotes":""},"ht-kb-category":[37],"ht-kb-tag":[],"class_list":["post-782","ht_kb","type-ht_kb","status-publish","format-standard","hentry","ht_kb_category-runoff-hydrographs-and-processing"],"_links":{"self":[{"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb\/782","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/comments?post=782"}],"version-history":[{"count":14,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb\/782\/revisions"}],"predecessor-version":[{"id":4572,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb\/782\/revisions\/4572"}],"wp:attachment":[{"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/media?parent=782"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb-category?post=782"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/learn.hydrologystudio.com\/hydrology-studio\/wp-json\/wp\/v2\/ht-kb-tag?post=782"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}