{"id":4183,"date":"2020-10-01T20:28:04","date_gmt":"2020-10-01T19:28:04","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4183"},"modified":"2024-04-21T15:26:56","modified_gmt":"2024-04-21T14:26:56","slug":"how-to-calculate-and-solve-for-stage-discharge-extension-irrigation-water-requirement","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/10\/01\/how-to-calculate-and-solve-for-stage-discharge-extension-irrigation-water-requirement\/","title":{"rendered":"How to Calculate and Solve for Stage Discharge Extension | Irrigation Water Requirement"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents stage discharge extension. To calculate stage discharge extension, four essential parameters are needed, and these parameters are Area of Cross-Section (A), Roughness Co-efficient (c), Hydraulic Radius (R)\u00a0<\/strong>and\u00a0Slope in (%) of the Energy Line (s).<\/strong><\/p>\n

The formula for calculating stage discharge extension.<\/p>\n

Q = Ac\u221a(Rs)<\/p>\n

Where:<\/p>\n

Q = Stage Discharge Extension
\nA = Area of Cross-Section
\nc = Roughness Co-efficient
\nR = Hydraulic Radius
\ns = Slope in (%) of the Energy Line<\/p>\n

Let’s solve an example;
\nFind the stage discharge extension when the area of cross-section is 12, the roughness co-efficient is 16, the hydraulic radius is 13 and the slope in (%) of the energy line is 11.<\/p>\n

This implies that;<\/p>\n

A = Area of Cross-Section 12
\nc = Roughness Co-efficient = 16
\nR = Hydraulic Radius = 13
\ns = Slope in (%) of the Energy Line = 11<\/p>\n

Q = Ac\u221a(Rs)
\nQ = 12(16)\u221a(13(11))
\nThat is, Q = 192\u221a(143)
\nQ = 192(11.95)
\nQ = 2295.9<\/p>\n

Therefore, the\u00a0stage discharge extension\u00a0<\/strong>is\u00a02295.9.<\/strong><\/p>\n

Calculating the Area of Cross-Sectional when the Stage Discharge Extension, the Roughness Co-efficient, the Hydraulic Radius and the Slope in (%) of the energy line are Given<\/strong><\/h3>\n

A = Q<\/sup> \/ c \u221aRS<\/sub><\/p>\n

Where;<\/p>\n

A = Area of Cross-Section
\nQ = Stage Discharge Extension
\nc = Roughness Co-efficient
\nR = Hydraulic Radius
\ns = Slope in (%) of the Energy Line<\/p>\n

Let’s solve an example;
\nFind the area of cross-section when the stage discharge extension is 14, the roughness co-efficient is 10, the hydraulic radius is 9 and the slope in (%) of the energy line is 5.<\/p>\n

This implies that;<\/p>\n

Q = Stage Discharge Extension = 14
\nc = Roughness Co-efficient = 10
\nR = Hydraulic Radius = 9
\ns = Slope in (%) of the Energy Line = 5<\/p>\n

A = Q<\/sup> \/ c \u221aRS<\/sub>
\nA = 14<\/sup> \/ 10 \u221a(9)(5)<\/sub>
\nThen, A = 14<\/sup> \/ 10 (6.70)<\/sub>
\nA = 14<\/sup> \/ 67<\/sub>
\nA = 0.208<\/p>\n

Therefore, the\u00a0area of cross-section\u00a0<\/strong>is\u00a00.208.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Expected Discharge | Flood Formulae | Irrigation Water Requirement<\/a><\/p>\n

Calculating the Roughness Co-efficient when the Stage Discharge Extension, Area of Cross-Sectional, the Hydraulic Radius and the Slope in (%) of the energy line are Given<\/strong><\/h3>\n

c = Q<\/sup> \/ A \u221aRS<\/sub><\/p>\n

Where;<\/p>\n

c = Roughness Co-efficient
\nQ = Stage Discharge Extension
\nA = Area of Cross-Section
\nR = Hydraulic Radius
\ns = Slope in (%) of the Energy Line<\/p>\n

Let’s solve an example;
\nFind the roughness co-efficient when the stage discharge extension is 32, the area of cross-section is 10, the hydraulic radius is 20, and the slope in (%) of the energy line is 5.<\/p>\n

This implies that;<\/p>\n

Q = Stage Discharge Extension = 32
\nA = Area of Cross-Section = 10
\nR = Hydraulic Radius = 20
\ns = Slope in (%) of the Energy Line = 5<\/p>\n

c = Q<\/sup> \/ A \u221aRS<\/sub>
\nSo, c = 32<\/sup> \/ 10 \u221a(20)(5)<\/sub>
\nc = 32<\/sup> \/ 10 \u221a100<\/sub>
\nc = 32<\/sup> \/ 10 (10)<\/sub>
\nThat is, c = 32<\/sup> \/ 10<\/sub>
\nc = 3.2<\/p>\n

Therefore, the\u00a0roughness co-efficient\u00a0<\/strong>is\u00a03.2.<\/strong><\/p>\n

Calculating the Hydraulic Radius when the Stage Discharge Extension, Area of Cross-Sectional, the Roughness Co-efficient and the Slope in (%) of the energy line are Given<\/strong><\/h3>\n

R = (Q<\/sup> \/ Ac<\/sub>)2<\/sup><\/sup> \/ S<\/sub><\/p>\n

Where;<\/p>\n

R = Hydraulic Radius
\nQ = Stage Discharge Extension
\nA = Area of Cross-Section
\nc = Roughness Co-efficient
\ns = Slope in (%) of the Energy Line<\/p>\n

Let’s solve an example;
\nFind the hydraulic radius when the stage discharge extension is 40, the area of cross-section is 8, the roughness co-efficient is 4 and the slope in (%) of the energy line is 4.<\/p>\n

This implies that;<\/p>\n

Q = Stage Discharge Extension = 40
\nA = Area of Cross-Section = 8
\nc = Roughness Co-efficient = 4
\ns = Slope in (%) of the Energy Line = 4<\/p>\n

R = (Q<\/sup> \/ Ac<\/sub>)2<\/sup><\/sup> \/ S<\/sub>
\nSo, R = (40<\/sup> \/ 8 x 4<\/sub>)2<\/sup><\/sup> \/ 4<\/sub>
\nR = (40<\/sup> \/ 32<\/sub>)2<\/sup><\/sup> \/ 4<\/sub>
\nR = (1.25)2<\/sup><\/sup> \/ 4<\/sub>
\nThat is, R = 1.5625<\/sup> \/ 4<\/sub>
\nR = 0.14<\/p>\n

Therefore, the hydraulic radius\u00a0<\/strong>is\u00a00.14.<\/strong><\/p>\n

Calculating the Slope in (%) of the energy line when the Stage Discharge Extension, Area of Cross-Sectional, the Roughness Co-efficient and the Hydraulic Radius are Given<\/strong><\/h3>\n

S = (Q<\/sup> \/ Ac<\/sub>)2<\/sup><\/sup> \/ R<\/sub><\/p>\n

Where;<\/p>\n

s = Slope in (%) of the Energy Line
\nQ = Stage Discharge Extension
\nA = Area of Cross-Section
\nc = Roughness Co-efficient
\nR = Hydraulic Radius<\/p>\n

Let’s solve an example;
\nFind the slope in (%) of the energy line when the stage discharge extension is 30, the area of cross-section is 12, the roughness co-efficient is 6 and the hydraulic radius is 2.<\/p>\n

This implies that;<\/p>\n

Q = Stage Discharge Extension = 30
\nA = Area of Cross-Section = 12
\nc = Roughness Co-efficient = 6
\nR = Hydraulic Radius = 2<\/p>\n

S = (Q<\/sup> \/ Ac<\/sub>)2<\/sup><\/sup> \/ R<\/sub>
\nS = (30<\/sup> \/ 12 x 6<\/sub>)2<\/sup><\/sup> \/ 2<\/sub>
\nThen, S = (0.416)2<\/sup><\/sup> \/ 2<\/sub>
\nS = 0.173056<\/sup> \/ 2<\/sub>
\nS = 0.086<\/p>\n

Therefore, the\u00a0slope in (%) of the energy line\u00a0<\/strong>is\u00a00.086.<\/strong><\/p>\n

How to Calculate Stage Discharge Extension Using Nickzom<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the stage discharge extension.<\/p>\n

To get the answer and workings of the stage discharge extension using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Agricultural<\/strong>\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Irrigation Water Requirement\u00a0<\/strong>under\u00a0Agricultural<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Stage Discharge Extension<\/strong>\u00a0<\/strong>under\u00a0Irrigation Water Requirement<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the stage discharge extension according to the respective parameters which is the Area of Cross-Section (A), Roughness Co-efficient (c), Hydraulic Radius (R)\u00a0<\/strong>and\u00a0Slope in (%) of the Energy Line (s).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Area of Cross-Section (A)<\/strong> is 12<\/strong>, Roughness Co-efficient (c)<\/strong> is 16<\/strong>, Hydraulic R<\/strong>adius (R) <\/strong>is 13 <\/strong>and\u00a0Slope in (%) of the Energy Line (s)<\/strong> is 11<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"\"<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the stage discharge extension and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents stage discharge extension. To calculate stage discharge extension, four essential parameters are needed, and…","protected":false},"author":5,"featured_media":14121,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[828,1215,60,298,1207,1216,1217,1218],"class_list":["post-4183","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-area-of-cross-sectonal","tag-engineering","tag-hydraulic-radius","tag-irrigation-water-requirement","tag-roughness-co-efficient","tag-slope-in-of-the-energy-line","tag-stage-discharge-extension","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Stage Discharge Extension | Irrigation Water Requirement<\/title>\n<meta name=\"description\" content=\"Learn the steps and formula on How to Calculate Stage Discharge Extension in Irrigation Water Requirement. 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