The image above represents viscosity of bingham fluids.

To compute for viscosity of bingham fluids, three essential parameters are needed and these parameters are **Yield Stress (ζ _{y}), Shear Rate (γ)** and

**Co-efficient of Rigidity (η**

_{B}).The formula for calculating viscosity of bingham fluids:

η_{a} = η_{B} + ^{ζy} / _{γ}

Where:

η_{a} = Viscosity of Bingham Fluids

ζ_{y} = Yield Stress

γ = Shear Rate

η_{B} = Co-efficient of Rigidity

Let’s solve an example;

Find the viscosity of bingham fluids when the yield stress is 21, the shear rate is 18 and co-efficient of rigidity is 14.

This implies that;

ζ_{y} = Yield Stress = 21

γ = Shear Rate = 18

η_{B} = Co-efficient of Rigidity = 14

η_{a} = η_{B} + ^{ζy} / _{γ}

η_{a} = 14 + ^{21} / _{18}

η_{a} = 14 + 1.166

η_{a} = 15.16

Therefore, the **viscosity of bingham fluids **is **15.16.**

**Calculating for Yield Stress when the Viscosity of Bingham Fluids, the Shear Rate and the Co-efficient of Rigidity is Given.**

ζ_{y} = (η_{a} – η_{B}) γ

Where;

ζ_{y} = Yield Stress

η_{a} = Viscosity of Bingham Fluids

γ = Shear Rate

η_{B} = Co-efficient of Rigidity

Let’s solve an example;

Find the yield stress when the viscosity of bingham fluids is 12, the shear rate is 14 and the co-efficient of rigidity is 8.

This implies that;

η_{a} = Viscosity of Bingham Fluids = 12

γ = Shear Rate = 14

η_{B} = Co-efficient of Rigidity = 8

ζ_{y} = (η_{a} – η_{B}) γ

ζ_{y} = (12 – 8) 14

ζ_{y} = (4) 14

ζ_{y} = 56

Therefore, the **yield stress **is **56.**

Continue reading How to Calculate and Solve for Viscosity of Bingham Fluids | Rheology