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} = ^{ηa} / _{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} = ^{ηa} / _{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.**

Continue reading How to Calculate and Solve for Relative Apparent Viscosity | Rheology