{"id":2408,"date":"2019-10-18T01:22:47","date_gmt":"2019-10-18T00:22:47","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2408"},"modified":"2024-03-12T11:39:18","modified_gmt":"2024-03-12T10:39:18","slug":"how-to-calculate-and-solve-for-pressure-gradient-polymer-textile","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/10\/18\/how-to-calculate-and-solve-for-pressure-gradient-polymer-textile\/","title":{"rendered":"How to Calculate and Solve for Pressure Gradient | Polymer & Textile"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents pressure gradient. To calculate pressure gradient, four essential parameters are needed and these parameters are value (\u03b1), viscosity (\u03bc), screw rotation speed (N)<\/strong> and proportionality constant that depends on screw geometry (B).<\/strong><\/p>\n

The formula for calculating pressure gradient:<\/p>\n

\u0394P =\u00a0\u03b1\u03bcN<\/sup>\u00a0\/\u00a0B<\/sub><\/p>\n

Where;<\/p>\n

\u0394P = Pressure Gradient
\n\u03b1 = Value
\n\u03bc = Viscosity
\nN = Screw Rotation Speed
\nB = Proportionality Constant that Depends on Screw Geometry<\/p>\n

Let’s solve an example;
\nFind the pressure gradient when the value is 2, viscosity is 9, screw rotation speed is 20 and proportionality constant that depends on screw geometry is 24.<\/p>\n

This implies that;<\/p>\n

\u03b1 = Value = 2
\n\u03bc = Viscosity = 9
\nN = Screw Rotation Speed = 20
\nB = Proportionality Constant that Depends on Screw Geometry = 24<\/p>\n

\u0394P =\u00a0\u03b1\u03bcN<\/sup>\u00a0\/\u00a0B<\/sub>
\n\u0394P =\u00a0(2)(9)(20)<\/sup>\u00a0\/\u00a024<\/sub>
\nHence, \u0394P = 360<\/sup>\u00a0\/\u00a024<\/sub>
\n\u0394P = 15<\/p>\n

Therefore, the pressure gradient<\/strong> is\u00a015.<\/strong><\/p>\n

Calculating the Value when the Pressure Gradient, Viscosity, Screw Rotation Speed and Proportionality Constant that Depends on Screw Geometry are Given<\/strong><\/h3>\n

\u03b1 = \u0394P x B<\/sup> \/ \u03bcN<\/sub><\/p>\n

Where;<\/p>\n

\u03b1 = Value
\n\u0394P = Pressure Gradient
\n\u03bc = Viscosity
\nN = Screw Rotation Speed
\nB = Proportionality Constant that Depends on Screw Geometry<\/p>\n

Let’s solve an example;
\nFind the value when the pressure gradient is 20, viscosity is 5, screw rotation speed is 11 and the proportionality constant that depends on screw geometry is 7.<\/p>\n

This implies that;<\/p>\n

\u0394P = Pressure Gradient = 20
\n\u03bc = Viscosity = 5
\nN = Screw Rotation Speed = 11
\nB = Proportionality Constant that Depends on Screw Geometry = 7<\/p>\n

\u03b1 = \u0394P x B<\/sup> \/ \u03bcN<\/sub>
\n\u03b1 = 20 x 7<\/sup> \/ (5)(11)<\/sub>
\nThen, \u03b1 = 140<\/sup> \/ 55<\/sub>
\n\u03b1 = 2.54<\/p>\n

Therefore, the\u00a0value\u00a0<\/strong>is\u00a02.54.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Burst Pressure | Polymer &amp; Textile<\/a><\/p>\n

Calculating the Viscosity when the Pressure Gradient, Value, Screw Rotation Speed and Proportionality Constant that Depends on Screw Geometry are Given<\/strong><\/h3>\n

\u03bc = \u0394P x B<\/sup> \/ \u03b1N<\/sub><\/p>\n

Where;<\/p>\n

\u03bc = Viscosity
\n\u0394P = Pressure Gradient
\n\u03b1 = Value
\nN = Screw Rotation Speed
\nB = Proportionality Constant that Depends on Screw Geometry<\/p>\n

Let’s solve an example;
\nFind the viscosity when the pressure gradient is 34, the value is 10, the screw rotation speed is 12 and the proportionality constant that depends on screw geometry is 3.<\/p>\n

This implies that;<\/p>\n

\u0394P = Pressure Gradient = 34
\n\u03b1 = Value = 10
\nN = Screw Rotation Speed = 12
\nB = Proportionality Constant that Depends on Screw Geometry = 3<\/p>\n

\u03bc = \u0394P x B<\/sup> \/ \u03b1N<\/sub>
\nSo, \u03bc = 34 x 3<\/sup> \/ (10)(12)<\/sub>
\n\u03bc = 102<\/sup> \/ 120<\/sub>
\n\u03bc = 0.85<\/p>\n

Therefore, the\u00a0viscosity\u00a0<\/strong>is\u00a00.85.<\/strong><\/p>\n

Calculating the Screw Rotation Speed when the Pressure Gradient, Value, Viscosity and Proportionality Constant that Depends on Screw Geometry are Given<\/strong><\/h3>\n

N = \u0394P x B<\/sup> \/ \u03b1\u03bc<\/sub><\/p>\n

Where;<\/p>\n

N = Screw Rotation Speed
\n\u0394P = Pressure Gradient
\n\u03b1 = Value
\n\u03bc = Viscosity
\nB = Proportionality Constant that Depends on Screw Geometry<\/p>\n

Let’s solve an example;
\nFind the screw rotation speed when the pressure gradient is 48, value is 12, viscosity is 8 and proportionality constant that depends on screw geometry is 9.<\/p>\n

This implies that;<\/p>\n

\u0394P = Pressure Gradient = 48
\n\u03b1 = Value = 12
\n\u03bc = Viscosity = 8
\nB = Proportionality Constant that Depends on Screw Geometry = 9<\/p>\n

N = \u0394P x B<\/sup> \/ \u03b1\u03bc<\/sub>
\nN = 48 x 9<\/sup> \/ (12)(8)<\/sub>
\nThen, N = 432<\/sup> \/ 96<\/sub>
\nN = 4.5<\/p>\n

Therefore, the\u00a0screw rotation speed\u00a0<\/strong>is\u00a04.5.<\/strong><\/p>\n

Calculating the Proportionality Constant that Depends on Screw Geometry when the Pressure Gradient, Value, Viscosity and Screw Rotation Speed are Given<\/strong><\/h3>\n

B = \u03b1\u03bcN<\/sup> \/ \u0394P<\/sub><\/p>\n

Where;<\/p>\n

B = Proportionality Constant that Depends on Screw Geometry
\n\u0394P = Pressure Gradient
\n\u03b1 = Value
\n\u03bc = Viscosity
\nN = Screw Rotation Speed<\/p>\n

Let’s solve an example;
\nFind the proportionality constant that depends on screw geometry when the value is 4, pressure gradient is 12, viscosity is 7 and screw rotation speed is 8.<\/p>\n

This implies that;<\/p>\n

\u0394P = Pressure Gradient = 12
\n\u03b1 = Value = 4
\n\u03bc = Viscosity = 7
\nN = Screw Rotation Speed = 8<\/p>\n

B = \u03b1\u03bcN<\/sup> \/ \u0394P<\/sub>
\nThen, B = (4)(7)(8)<\/sup> \/ 12<\/sub>
\nB = 224<\/sup> \/ 12<\/sub>
\nB = 18.67<\/p>\n

Therefore, the\u00a0proportionality constant that depends on screw geometry\u00a0<\/strong>is\u00a018.67.<\/strong><\/p>\n

How to Calculate Pressure Gradient Using Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the pressure gradient 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 1,500\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\u00a0Polymer & Textile<\/strong>\u00a0<\/strong>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Pressure Gradient<\/strong>\u00a0<\/strong>under\u00a0Polymer & Textile<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the pressure gradient according to the respective parameters which is the value (\u03b1), viscosity (\u03bc), screw rotation speed (N)<\/strong> and proportionality constant that depends on screw geometry (B).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the value (\u03b1)<\/strong> is 2<\/strong>, viscosity (\u03bc)<\/strong> is 9<\/strong>, screw rotation speed (N)<\/strong> is 20 <\/strong>and proportionality constant that depends on screw geometry (B)<\/strong> is 24<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the pressure gradient and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents pressure gradient. To calculate pressure gradient, four essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":13268,"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":""},"categories":[47],"tags":[84,60,87,696,731,735,734,733,118],"class_list":["post-2408","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-calculator-encyclopedia","tag-engineering","tag-nickzom-calculator","tag-polymer-textile","tag-pressure-gradient","tag-proportionality-constant-that-depends-on-screw-geometry","tag-screw-rotation-speed","tag-value","tag-viscosity","cs-entry"],"yoast_head":"\nHow 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