{"id":4184,"date":"2020-10-01T15:58:59","date_gmt":"2020-10-01T14:58:59","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4184"},"modified":"2024-04-20T15:40:08","modified_gmt":"2024-04-20T14:40:08","slug":"how-to-calculate-and-solve-for-required-discharge-of-each-sprinkler-irrigation-water-requirement","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/10\/01\/how-to-calculate-and-solve-for-required-discharge-of-each-sprinkler-irrigation-water-requirement\/","title":{"rendered":"How to Calculate and Solve for Required Discharge of Each Sprinkler | Irrigation Water Requirement"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-4187\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/required-discharge-of-each-sprinkler.png\" alt=\"\" width=\"251\" height=\"201\" \/><\/p>\n<p>The image above represents the required discharge of each sprinkler. To calculate the required discharge of each sprinkler, three essential parameters are needed, and these parameters are the Spacing of the Sprinkler along the Interval (Sl), the Spacing of the Sprinkler along the Main Pipe (Sm), and the Optimum Water Application Rate (l).<\/p>\n<h3><strong>The formula for calculating the required discharge of each sprinkler:<\/strong><\/h3>\n<p>q =\u00a0<sup>S<sub>l<\/sub>\u00a0. S<sub>m<\/sub>\u00a0. I<\/sup>\u00a0\/\u00a0<sub>3600<\/sub><\/p>\n<p>Where:<\/p>\n<p>q = Required Discharge of Each Sprinkler<br \/>\nS<sub>l<\/sub>\u00a0= Spacing of Sprinkler along the Interval<br \/>\nS<sub>m<\/sub>\u00a0= Spacing of Sprinkler along the Main Pipe<br \/>\nI = Optimum Water Application Rate<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the required discharge of each sprinkler when the spacing of sprinkler along the interval is 21, the spacing of sprinkler along the main pipe is 24 and the optimum water application rate is 19.<\/p>\n<p>This implies that;<\/p>\n<p>S<sub>l<\/sub> = Spacing of Sprinkler along the Interval = 21<br \/>\nS<sub>m<\/sub> = Spacing of Sprinkler along the Main Pipe = 24<br \/>\nI = Optimum Water Application Rate = 19<\/p>\n<p>q =\u00a0<sup>S<sub>l<\/sub>\u00a0. S<sub>m<\/sub>\u00a0. I<\/sup>\u00a0\/\u00a0<sub>3600<\/sub><br \/>\nThat is, q = <sup>(21) . (24) . (19)<\/sup>\u00a0\/\u00a0<sub>3600<\/sub><br \/>\nq =\u00a0<sup>9576<\/sup>\u00a0\/\u00a0<sub>3600<\/sub><br \/>\nq = 2.66<\/p>\n<p>Therefore, the<strong> required discharge of each sprinkler<\/strong> is <strong>2.66.<\/strong><\/p>\n<h3><b>Calculating the Spacing of the Sprinkler along the Interval when the Required Discharge of each Sprinkler, the Spacing of the Sprinkler along the Main Pipe, and the Optimum Water Application Rate are Given<\/b><\/h3>\n<p>S<sub>l<\/sub> = <sup>q x 3600<\/sup> \/ <sub>S<sub>m<\/sub> x l<\/sub><\/p>\n<p>Where;<\/p>\n<p>S<sub>l<\/sub>\u00a0= Spacing of Sprinkler along the Interval<br \/>\nq = Required Discharge of Each Sprinkler<br \/>\nS<sub>m<\/sub>\u00a0= Spacing of Sprinkler along the Main Pipe<br \/>\nI = Optimum Water Application Rate<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the spacing of sprinkler along the interval when the required discharge of each sprinkler is 24, the spacing of sprinkler along the main pipe is 14 and the optimum water application rate is 20.<\/p>\n<p>This implies that;<\/p>\n<p>q = Required Discharge of Each Sprinkler = 24<br \/>\nS<sub>m<\/sub> = Spacing of Sprinkler along the Main Pipe = 14<br \/>\nI = Optimum Water Application Rate = 20<\/p>\n<p>S<sub>l<\/sub> = <sup>q x 3600<\/sup> \/ <sub>S<sub>m<\/sub> x l<\/sub><br \/>\nThen, S<sub>l<\/sub> = <sup>24 x 3600<\/sup> \/ <sub>14 x 20<\/sub><br \/>\nS<sub>l<\/sub> = <sup>86400<\/sup> \/ <sub>280<\/sub><br \/>\nS<sub>l<\/sub> = 308.5<\/p>\n<p>Therefore, the\u00a0<strong>spacing of sprinkler along the interval\u00a0<\/strong>is\u00a0<strong>308.5.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2020\/10\/03\/how-to-calculate-and-solve-for-capacity-of-the-sprinkler-system-irrigation-water-requirement\/\">How to Calculate and Solve for Capacity of the Sprinkler System | Irrigation Water Requirement<\/a><\/p>\n<h3><strong>Calculating the Spacing of Sprinkler along the Main Pipe when the Required Discharge of each Sprinkler, the Spacing of Sprinkler along the Interval and the Optimum Water Application Rate are Given<\/strong><\/h3>\n<p>S<sub>m<\/sub> = <sup>q x 3600<\/sup> \/ <sub>S<sub>l<\/sub> x l<\/sub><\/p>\n<p>Where;<\/p>\n<p>S<sub>m<\/sub>\u00a0= Spacing of Sprinkler along the Main Pipe<br \/>\nq = Required Discharge of Each Sprinkler<br \/>\nS<sub>l<\/sub>\u00a0= Spacing of Sprinkler along the Interval<br \/>\nI = Optimum Water Application Rate<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the spacing of sprinkler along the main pipe when the required discharge of each sprinkler is 7, the spacing of sprinkler along the interval is 10 and the optimum water application rate is 6.<\/p>\n<p>This implies that;<\/p>\n<p>q = Required Discharge of Each Sprinkler = 7<br \/>\nS<sub>l<\/sub> = Spacing of Sprinkler along the Interval = 10<br \/>\nI = Optimum Water Application Rate = 6<\/p>\n<p>S<sub>m<\/sub> = <sup>q x 3600<\/sup> \/ <sub>S<sub>l<\/sub> x l<\/sub><br \/>\nS<sub>m<\/sub> = <sup>7 x 3600<\/sup> \/ <sub>10 x 6<\/sub><br \/>\nHence, S<sub>m<\/sub> = <sup>25200<\/sup> \/ <sub>60<\/sub><br \/>\nS<sub>m<\/sub> = 420<\/p>\n<p>Therefore, the\u00a0<strong>spacing of sprinkler along the main pipe\u00a0<\/strong>is\u00a0<strong>420.<\/strong><\/p>\n<h3><strong>Calculating the Optimum Water Application Rate when the Required Discharge of each Sprinkler, the Spacing of Sprinkler along the Main Pipe and the Spacing of Sprinkler along the Interval are Given<\/strong><\/h3>\n<p>l = <sup>q x 3600<\/sup> \/ <sub>S<sub>l<\/sub> x S<sub>m<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>I = Optimum Water Application Rate<br \/>\nq = Required Discharge of Each Sprinkler<br \/>\nS<sub>l<\/sub>\u00a0= Spacing of Sprinkler along the Interval<br \/>\nS<sub>m<\/sub> = Spacing of Sprinkler along the Main Pipe<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the optimum water application rate when the required discharge of each sprinkler is 15, the spacing of the sprinkler along the interval is 4, and the spacing of the sprinkler along the main pipe is 8.<\/p>\n<p>This implies that;<\/p>\n<p>q = Required Discharge of Each Sprinkler = 15<br \/>\nS<sub>l<\/sub> = Spacing of Sprinkler along the Interval = 4<br \/>\nS<sub>m<\/sub> = Spacing of Sprinkler along the Main Pipe = 8<\/p>\n<p>l = <sup>q x 3600<\/sup> \/ <sub>S<sub>l<\/sub> x S<sub>m<\/sub><\/sub><br \/>\nSo, l = <sup>15 x 3600<\/sup> \/ <sub>4 x 8<\/sub><br \/>\nl = <sup>54000<\/sup> \/ <sub>32<\/sub><br \/>\nl = 1687.5<\/p>\n<p>Therefore, the\u00a0<strong>optimum water application rate\u00a0<\/strong>is\u00a0<strong>1687.5.<\/strong><\/p>\n<h3><strong>How to Calculate the Required Discharge of Each Sprinkler Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the required discharge of each sprinkler.<\/p>\n<p>To get the answer and workings of the required discharge of each sprinkler, use the Nickzom Calculator \u2013 The Calculator Encyclopedia.<strong>\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 2,000\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<strong>Agricultural<\/strong><b>\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-3799 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/09\/Screenshot-1478.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/09\/Screenshot-1478.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/09\/Screenshot-1478-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/09\/Screenshot-1478-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/09\/Screenshot-1478-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Irrigation Water Requirement\u00a0<\/strong>under\u00a0<strong>Agricultural<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4177 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1683.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1683.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1683-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1683-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1683-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Required Discharge of Each Sprinkler<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Irrigation Water Requirement<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4198 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1692.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1692.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1692-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1692-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1692-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the required discharge of each sprinkler according to the respective parameters which is the <strong>Spacing of Sprinkler along the Interval (S<sub>l<\/sub>), Spacing of Sprinkler along the Main Pipe (S<sub>m<\/sub>)\u00a0<\/strong>and\u00a0<strong>Optimum Water Application Rate (l).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4197 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1693.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1693.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1693-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1693-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1693-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Spacing of Sprinkler along the Interval (S<sub>l<\/sub>)<\/strong> is <strong>21<\/strong>,<strong> Spacing of Sprinkler along the Main Pipe (S<sub>m<\/sub>)<\/strong> is <strong>24 <\/strong>and <strong>Optimum Water Application Rate (l)<\/strong> is <strong>19<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4196 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1694.png\" alt=\"How to Calculate and Solve for Required Discharge of Each Sprinkler | Irrigation Water Requirement\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1694.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1694-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1694-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1694-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4195 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1695.png\" alt=\"How to Calculate and Solve for Required Discharge of Each Sprinkler | Irrigation Water Requirement\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1695.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1695-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1695-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2020\/10\/Screenshot-1695-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the required discharge of each sprinkler and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the required discharge of each sprinkler. To calculate the required discharge of each sprinkler,&hellip;","protected":false},"author":5,"featured_media":14109,"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":[828,60,1207,1210,1211,1208,1209],"class_list":["post-4184","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-engineering","tag-irrigation-water-requirement","tag-optimum-water-application-rate","tag-required-discharge-of-each-sprinkler","tag-spacing-of-sprinkler-along-the-interval","tag-spacing-of-sprinkler-along-the-main-pipe","cs-entry"],"yoast_head":"<!-- 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