How to Calculate and Solve for Relative Apparent Viscosity | Rheology

Last Updated on January 24, 2021

The image above represents relative apparent viscosity.

To compute for relative apparent viscosity, two essential parameters are needed and these parameters are Viscosity of Non-Newtonian Fluid (η_a) and Viscosity of Continuous Phase (η_c).

The formula for calculating relative apparent viscosity:

η_ra = ^η_a / _ηc

Where:

η_ra = Relative Apparent Viscosity
η_a = Viscosity of Non-Newtonian Fluid
η_c = Viscosity of Continuous Phase

Let’s solve an example;
Find the relative apparent viscosity when the viscosity of non-newtonian fluids is 44 and the viscosity of continuous phase is 11.

This implies that;

η_a = Viscosity of Non-Newtonian Fluid = 44
η_c = Viscosity of Continuous Phase = 11

η_ra = ^η_a / _ηc
η_ra = ⁴⁴ / ₁₁
η_ra = 4

Therefore, the relative apparent viscosity is 4.

Calculating for Viscosity of Non-Newtonian Fluids when the Relative Apparent Viscosity and the Viscosity of Continuous Phase is Given.

η_a = η_ra x η_c

Where;

η_a = Viscosity of Non-Newtonian Fluid
η_ra = Relative Apparent Viscosity
η_c = Viscosity of Continuous Phase

Let’s solve an example;
Find the viscosity of non-newtonian fluid when the relative apparent viscosity is 16 and the viscosity of continuous phase is 8.

This implies that;

η_ra = Relative Apparent Viscosity = 16
η_c = Viscosity of Continuous Phase = 8

η_a = η_ra x η_c
η_a = 16 x 8
η_a = 128

Therefore, the viscosity of non-newtonian fluid is 128.

Calculating for the Viscosity of Continuous Phase when the Relative Apparent Viscosity and the Viscosity of Non-Newtonian Phase is Given.

η_c = ^η_a / _ηra

Where;

η_c = Viscosity of Continuous Phase
η_ra = Relative Apparent Viscosity
η_a = Viscosity of Non-Newtonian Fluid

Let’s solve an example;
Find the viscosity of continuous phase when the relative apparent viscosity is 14 and the viscosity of non-newtonian fluid is 48.

This implies that;

η_ra = Relative Apparent Viscosity = 14
η_a = Viscosity of Non-Newtonian Fluid = 48

η_c = ^η_a / _ηra
η_c = ⁴⁸ / ₁₄
η_c = 3.428

Therefore, the viscosity of continuous phase is 3.428.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the relative apparent viscosity.

To get the answer and workings of the relative apparent viscosity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Rheology under Materials and Metallurgical

Now, Click on Relative Apparent Viscosity under Rheology

The screenshot below displays the page or activity to enter your values, to get the answer for the relative apparent viscosity according to the respective parameters which is the Viscosity of Non-Newtonian Fluid (η_a) and Viscosity of Continuous Phase (η_c).

Now, enter the values appropriately and accordingly for the parameters as required by the Viscosity of Non-Newtonian Fluid (η_a) is 44 and Viscosity of Continuous Phase (η_c) is 11.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the relative apparent viscosity and presents the formula, workings and steps too.