{"id":4844,"date":"2021-01-24T09:41:50","date_gmt":"2021-01-24T08:41:50","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4844"},"modified":"2024-04-26T18:37:18","modified_gmt":"2024-04-26T17:37:18","slug":"how-to-calculate-and-solve-for-viscosity-of-bingham-fluids-rheology","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/24\/how-to-calculate-and-solve-for-viscosity-of-bingham-fluids-rheology\/","title":{"rendered":"How to Calculate and Solve for Viscosity of Bingham Fluids | Rheology"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the viscosity of Bingham fluids. To calculate the viscosity of Bingham fluids, three essential parameters are needed, and these parameters are Yield Stress (\u03b6y), Shear Rate (\u03b3), and Co-efficient of Rigidity (\u03b7B).<\/p>\n

The formula for calculating the viscosity of Bingham fluids:<\/strong><\/h3>\n

\u03b7a<\/sub>\u00a0= \u03b7B<\/sub>\u00a0+\u00a0\u03b6y<\/sub><\/sup>\u00a0\/\u00a0\u03b3<\/sub><\/p>\n

Where:<\/p>\n

\u03b7a<\/sub>\u00a0= Viscosity of Bingham Fluids
\n\u03b6y<\/sub>\u00a0= Yield Stress
\n\u03b3 = Shear Rate
\n\u03b7B<\/sub>\u00a0= Co-efficient of Rigidity<\/p>\n

Let’s solve an example;
\nFind the viscosity of Bingham fluids when the yield stress is 21, the shear rate is 18, and the co-efficient of rigidity is 14.<\/p>\n

This implies that;<\/p>\n

\u03b6y<\/sub> = Yield Stress = 21
\n\u03b3 = Shear Rate = 18
\n\u03b7B<\/sub> = Co-efficient of Rigidity = 14<\/p>\n

\u03b7a<\/sub>\u00a0= \u03b7B<\/sub>\u00a0+\u00a0\u03b6y<\/sub><\/sup>\u00a0\/\u00a0\u03b3<\/sub>
\nThat is, \u03b7a<\/sub>\u00a0= 14 +\u00a021<\/sup>\u00a0\/\u00a018<\/sub>
\n\u03b7a<\/sub> = 14 + 1.166
\n\u03b7a<\/sub> = 15.16<\/p>\n

Therefore, the\u00a0viscosity of Bingham fluids <\/strong>is\u00a015.16.<\/strong><\/p>\n

Calculating for Yield Stress when the Viscosity of Bingham Fluids, the Shear Rate and the Co-efficient of Rigidity are Given<\/strong><\/h3>\n

\u03b6y<\/sub> = (\u03b7a<\/sub> – \u03b7B<\/sub>) \u03b3<\/p>\n

Where;<\/p>\n

\u03b6y<\/sub>\u00a0= Yield Stress
\n\u03b7a<\/sub>\u00a0= Viscosity of Bingham Fluids
\n\u03b3 = Shear Rate
\n\u03b7B<\/sub>\u00a0= Co-efficient of Rigidity<\/p>\n

Let’s solve an example;
\nFind the yield stress when the viscosity of bingham fluids is 12, the shear rate is 14 and the co-efficient of rigidity is 8.<\/p>\n

This implies that;<\/p>\n

\u03b7a<\/sub> = Viscosity of Bingham Fluids = 12
\n\u03b3 = Shear Rate = 14
\n\u03b7B<\/sub> = Co-efficient of Rigidity = 8<\/p>\n

\u03b6y<\/sub> = (\u03b7a<\/sub> – \u03b7B<\/sub>) \u03b3
\nThen, \u03b6y<\/sub> = (12 – 8) 14
\n\u03b6y<\/sub> = (4) 14
\n\u03b6y<\/sub> = 56<\/p>\n

Therefore, the\u00a0yield stress\u00a0<\/strong>is\u00a056.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Viscosity of Pseudoplastic Fluids | Rheology<\/a><\/p>\n

Calculating for Shear Rate when the Viscosity of Bingham Fluids, the Yield Stress and the Co-efficient of Rigidity are Given<\/strong><\/h3>\n

\u03b3 = (\u03b7a<\/sub> – \u03b7B<\/sub>)<\/sup> \/ \u03b6y<\/sub><\/sub><\/p>\n

Where;<\/p>\n

\u03b3 = Shear Rate
\n\u03b7a<\/sub>\u00a0= Viscosity of Bingham Fluids
\n\u03b6y<\/sub>\u00a0= Yield Stress
\n\u03b7B<\/sub>\u00a0= Co-efficient of Rigidity<\/p>\n

Let’s solve an example;
\nFind the shear rate when the viscosity of bingham fluids is 20, the yield stress is 15 and the co-efficient of rigidity is 12.<\/p>\n

This implies that;<\/p>\n

\u03b7a<\/sub> = Viscosity of Bingham Fluids = 20
\n\u03b6y<\/sub> = Yield Stress = 15
\n\u03b7B<\/sub> = Co-efficient of Rigidity = 12<\/p>\n

\u03b3 = (\u03b7a<\/sub> – \u03b7B<\/sub>)<\/sup> \/ \u03b6y<\/sub><\/sub>
\nThat is, \u03b3 = (20 – 12)<\/sup> \/ 15<\/sub>
\n\u03b3 = 8<\/sup> \/ 15<\/sub>
\n\u03b3 = 0.53<\/p>\n

Therefore, the\u00a0shear rate\u00a0<\/strong>is\u00a00.53.<\/strong><\/p>\n

Calculating for Co-efficient of Rigidity when the Viscosity of Bingham Fluids, the Yield Stress and the Shear Rate are Given<\/strong><\/h3>\n

\u03b7B<\/sub> = \u03b7a<\/sub> – (\u03b6y<\/sub><\/sup> \/ \u03b3<\/sub>)<\/p>\n

Where;<\/p>\n

\u03b7B<\/sub>\u00a0= Co-efficient of Rigidity
\n\u03b7a<\/sub>\u00a0= Viscosity of Bingham Fluids
\n\u03b6y<\/sub>\u00a0= Yield Stress
\n\u03b3 = Shear Rate<\/p>\n

Let’s solve an example;
\nFind the co-efficient of rigidity when the viscosity of Bingham fluids is 14, the yield stress is 10 and the shear rate is 6.<\/p>\n

This implies that;<\/p>\n

\u03b7a<\/sub> = Viscosity of Bingham Fluids = 14
\n\u03b6y<\/sub> = Yield Stress = 10
\n\u03b3 = Shear Rate = 6<\/p>\n

\u03b7B<\/sub> = \u03b7a<\/sub> – (\u03b6y<\/sub><\/sup> \/ \u03b3<\/sub>)
\nSo, \u03b7B<\/sub> = 14 – (10<\/sup> \/ 6<\/sub>)
\n\u03b7B<\/sub> = 14 -1.667
\n\u03b7B<\/sub> = 12.33<\/p>\n

Therefore, the\u00a0co-efficient of rigidity\u00a0<\/strong>is\u00a012.33.<\/strong><\/p>\n

How to Calculate Viscosity of Bingham Fluids Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the viscosity of Bingham fluids.<\/p>\n

To get the answer and workings of the viscosity of Bingham fluids 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\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Rheology <\/strong>under Materials and Metallurgical<\/strong><\/p>\n

<\/p>\n

Now, Click on Viscosity of Bingham Fluids <\/strong>under\u00a0Rheology<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the viscosity of bingham fluids according to the respective parameters which is the Yield Stress (\u03b6y<\/sub>), Shear Rate (\u03b3)<\/strong> and Co-efficient of Rigidity (\u03b7B<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Yield Stress (\u03b6y<\/sub>)<\/strong> is 21<\/strong>, Shear Rate (\u03b3)<\/strong> is 18 <\/strong>and Co-efficient of Rigidity (\u03b7B<\/sub>)<\/strong> is 14<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the viscosity of bingham fluids and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the viscosity of Bingham fluids. To calculate the viscosity of Bingham fluids, three essential…","protected":false},"author":5,"featured_media":14495,"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":[1405,60,543,1400,1398,1406,1404],"class_list":["post-4844","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-co-efficient-of-rigidity","tag-engineering","tag-materials-and-metallurgical","tag-rheology","tag-shear-rate","tag-viscosity-of-bingham-fluids","tag-yield-stress","cs-entry"],"yoast_head":"\nHow 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