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Fluid Mechanics

Kinematic Viscosity

Kinematic viscosity measures how rapidly momentum diffuses through a fluid.

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Source & review

Difficulty

Intermediate

Read time

4 min

Prerequisites

Consistent SI units, algebra, and the physical assumptions listed below

Review statusNeeds review

Source

Teng-Jui Lin — Equation Sheets

Adapted from Teng-Jui Lin, Equation Sheets — Mechanical Engineering, under CC BY 4.0.

Adapted notation and added original explanations, variables, assumptions, applications, and a worked example.

Definition
Understanding the core concept

Kinematic viscosity measures how rapidly momentum diffuses through a fluid. Dividing dynamic viscosity by density separates the resistance to shear from the amount of fluid mass being accelerated.

Variables & Units
Understanding each component
SymbolMeaningUnits
Kinematic viscosity
Dynamic viscosity
Fluid density
Real-World Applications
Where this formula is used in practice

Reynolds-number setup

Convert a dynamic-viscosity specification to a kinematic one.

Lubricant comparison

Compare viscosity grades at the specified reference temperature.

Worked Example
Step-by-step calculation with real numbers

Problem

An oil has dynamic viscosity 0.085 Pa·s and density 850 kg/m³. Find its kinematic viscosity.

Given

Solution

1
2

Final Answer

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