IntermediateTopic 46 of 105Thermodynamics & Fluids

Viscosity

Resistance to shear; Newtonian fluids have shear stress proportional to velocity gradient.

In depth

Dynamic viscosity μ relates shear stress τ=μ du/dy (Newtonian fluids). Kinematic viscosity ν=μ/ρ. Liquid viscosity drops with temperature, gas viscosity rises. Non-Newtonian fluids (ketchup, blood, polymers) show shear-thinning or thickening.

Key points

  • Units Pa·s and m²/s
  • Water μ≈1 mPa·s
  • Oil SAE grades
Example

Honey is thousands of times more viscous than water.

Why it matters

Newtonian fluids have a constant viscosity, which makes calculations straightforward, and many common fluids behave this way.

Where this is used

  • Calculating the shear stress in a lubricant film between two plates.
  • Checking whether water or oil can be treated as Newtonian in a pipe model.
  • Designing a flow test for a fluid used in a process.

Frequently asked questions

What is Viscosity?

Resistance to shear; Newtonian fluids have shear stress proportional to velocity gradient.

Why is it important to understand viscosity?

Newtonian fluids have a constant viscosity, which makes calculations straightforward, and many common fluids behave this way.

What makes a fluid Newtonian?

Shear stress is proportional to the velocity gradient, so the viscosity is constant regardless of shear rate.

Which fluids are not Newtonian?

Paints, blood, polymer melts and many slurries have shear-dependent viscosity, so they need non-Newtonian models.

How is Viscosity used in practice?

Typical applications include calculating the shear stress in a lubricant film between two plates, checking whether water or oil can be treated as Newtonian in a pipe model and designing a flow test for a fluid used in a process.

What should I learn before Viscosity?

Study "Fluid properties" first (topic 45 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.

What are the key points of Viscosity?

Units Pa·s and m²/s. Water μ≈1 mPa·s. Oil SAE grades.

Can you give an example of Viscosity?

Honey is thousands of times more viscous than water.

What comes after Viscosity?

The next topic is "Fluid statics", which builds directly on this one.

How difficult is Viscosity?

It is classed as Intermediate in Thermodynamics & Fluids (topic 46 of 105). It is an intermediate topic. Work through the beginner topics in Thermodynamics & Fluids first.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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