{"id":3864,"date":"2020-09-25T18:52:21","date_gmt":"2020-09-25T17:52:21","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3864"},"modified":"2024-04-17T18:39:06","modified_gmt":"2024-04-17T17:39:06","slug":"how-to-calculate-and-solve-for-total-head-hydrology-ii","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/09\/25\/how-to-calculate-and-solve-for-total-head-hydrology-ii\/","title":{"rendered":"How to Calculate and Solve for Total Head | Hydrology II"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents total head. To calculate total head, three essential parameters are needed and these parameters are Elevation above the Choosen Datum (z), Unit Weight of Water (\u03b3w<\/sub>)\u00a0<\/strong>and\u00a0Total Pressure (\u03bc).<\/strong><\/p>\n

The formula for calculating total head:<\/p>\n

h = z +\u00a0\u03bc<\/sup>\u00a0\/\u00a0\u03b3w<\/sub><\/p>\n

Where:<\/p>\n

h = Total Head
\nz = Elevation above the Choosen Datum
\n\u03bc = Unit Weight of Water
\n\u03b3w<\/sub>\u00a0= Total Pressure<\/p>\n

Let’s solve an example;
\nFind the total head when the elevation above the choosen datum is 14, unit weight of water is 21 and the total pressure is 10.<\/p>\n

This implies that;<\/p>\n

z = Elevation above the Choosen Datum = 14
\n\u03bc = Unit Weight of Water = 21
\n\u03b3w<\/sub> = Total Pressure = 10<\/p>\n

h = z +\u00a0\u03bc<\/sup>\u00a0\/\u00a0\u03b3w<\/sub>
\nThat is, h = 14 + 10<\/sup>\u00a0\/\u00a021<\/sub>
\nh = 14 + 0.47
\nh = 14.47<\/p>\n

Therefore, the\u00a0total head\u00a0<\/strong>is\u00a014.47.<\/strong><\/p>\n

Calculating for the Elevation above the Choosen Datum when the Total Head, the Unit Weight of Water and the Total Pressure are Given<\/strong><\/h4>\n

z = h – \u03bc<\/sup>\u00a0\/\u00a0\u03b3w<\/sub><\/p>\n

Where;<\/p>\n

z = Elevation above the Choosen Datum
\nh = Total Head
\n\u03bc = Unit Weight of Water
\n\u03b3w<\/sub>\u00a0= Total Pressure<\/p>\n

Let’s solve an example;
\nFind the elevation above the choosen datum when the total head is 32, the unit weight of water is 12 and the total pressure is 6.<\/p>\n

This implies that;<\/p>\n

h = Total Head = 32
\n\u03bc = Unit Weight of Water = 12
\n\u03b3w<\/sub> = Total Pressure = 6<\/p>\n

z = h – \u03bc<\/sup>\u00a0\/\u00a0\u03b3w<\/sub>
\nz = 32 – 12<\/sup>\u00a0\/\u00a06<\/sub>
\nThen, z = 32 – 2
\nz = 30<\/p>\n

Therefore, the\u00a0elevation above the choosen datum\u00a0<\/strong>is\u00a030.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Permeability | Hydrology II<\/a><\/p>\n

Calculating for the Unit Weight of Water when the Total Head, the Elevation above the Choosen Datum and the Total Pressure are Given<\/strong><\/h3>\n

\u03bc = (h – z) \u03b3w<\/sub><\/p>\n

Where;<\/p>\n

\u03bc = Unit Weight of Water
\nh = Total Head
\nz = Elevation above the Choosen Datum
\n\u03b3w<\/sub>\u00a0= Total Pressure<\/p>\n

Let’s solve an example;
\nFind the unit weight of water when the total head is 40, the elevation above the choosen datum is 10 and the total pressure is 5.<\/p>\n

This implies that;<\/p>\n

h = Total Head = 40
\nz = Elevation above the Choosen Datum = 10
\n\u03b3w<\/sub> = Total Pressure = 5<\/p>\n

\u03bc = (h – z) \u03b3w<\/sub>
\n\u03bc = (40 – 10) 5
\nSo, \u03bc = (30) 5
\n\u03bc = 150<\/p>\n

Therefore, the\u00a0unit weight of water\u00a0<\/strong>is\u00a0150.<\/strong><\/p>\n

Calculating for the Total Pressure when the Total Head, the Elevation above the Choosen Datum and the Unit weight of Water are Given<\/strong><\/h3>\n

\u03b3w<\/sub>\u00a0\u00a0= \u03bc<\/sup> \/ (h – z)<\/sub><\/p>\n

Where;<\/p>\n

\u03b3w<\/sub>\u00a0= Total Pressure
\nh = Total Head
\nz = Elevation above the Choosen Datum
\n\u03bc = Unit Weight of Water<\/p>\n

Let’s solve an example;
\nFind the total pressure when the total head is 36, the elevation above the choosen datum is 12 and the unit weight of water is 60.<\/p>\n

This implies that;<\/p>\n

h = Total Head = 36
\nz = Elevation above the Choosen Datum = 12
\n\u03bc = Unit Weight of Water = 60<\/p>\n

\u03b3w<\/sub>\u00a0\u00a0= \u03bc<\/sup> \/ (h – z)<\/sub>
\nThen, \u03b3w<\/sub>\u00a0\u00a0= 60<\/sup> \/ (36 – 12)<\/sub>
\n\u03b3w<\/sub>\u00a0\u00a0= 60<\/sup> \/ 24<\/sub>
\n\u03b3w<\/sub>\u00a0\u00a0= 2.5<\/p>\n

Therefore, the\u00a0total pressure\u00a0<\/strong>is\u00a02.5.<\/strong><\/p>\n

How to Calculate Total Head in Hydrology Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the total head.<\/p>\n

To get the answer and workings of the total head 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\u00a0Hydrology II\u00a0<\/strong>under\u00a0Agricultural<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Total Head <\/strong>under\u00a0Hydrology II<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the total head according to the respective parameters which is the Elevation above the Choosen Datum (z), Unit Weight of Water (\u03b3w<\/sub>)\u00a0<\/strong>and\u00a0Total Pressure (\u03bc).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Elevation above the Choosen Datum (z)<\/strong> is 14<\/strong>, Unit Weight of Water (\u03b3w<\/sub>)<\/strong> is 21 <\/strong>and Total Pressure (\u03bc)<\/strong> is 10<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the total head and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents total head. To calculate total head, three essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":13930,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Total Head Hydrology","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the step by step guide and formula on How to Calculate and Solve for Total Head | Hydrology II. Get instant accurate results.","_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":""},"categories":[47],"tags":[828,1085,60,1063,976,1087,1086],"class_list":["post-3864","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-agricultural","tag-elevation-above-the-choosen-datum","tag-engineering","tag-hydrology-ii","tag-total-head","tag-total-pressure","tag-unit-weight-of-water","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Total Head | Hydrology II<\/title>\n<meta name=\"description\" content=\"Learn the step by step guide and formula on How to Calculate and Solve for Total Head | Hydrology II. 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