An oil’s viscosity index (VI) is a measure of how its viscosity changes with temperature. It is calculated using the following formula:
VI = (Ln(μ100) – Ln(μ40))/(Ln(μ100) – Ln(μ0)) x 100
Where:
- VI stands for viscosity index
- μ100 is the dynamic viscosity of the oil at 100°C (measured in centistokes, cSt)
- μ40 is the dynamic viscosity of the oil at 40°C (measured in centistokes, cSt)
- μ0 is the dynamic viscosity of the oil at 0°C (measured in centistokes, cSt)
- Ln stands for natural logarithm
In this formula, the natural logarithm of viscosity is used to calculate the ratio of the change in viscosity at 40°C and 100°C to the change in viscosity at 0°C and 100°C. Multiply the resulting value by 100 to get the viscosity index.

The higher the viscosity index, the less the oil’s viscosity changes with temperature. Oils with a higher viscosity index have better viscosity-temperature properties, providing better lubrication and protection over a wider operating temperature range.
In short, the viscosity index formula is a calculation method widely used in various fields. It can help us better understand the properties of liquids, optimize processes, improve product quality and reduce energy consumption. By gaining a deeper understanding of the concept, derivation, practical applications, and importance of the viscosity index formula, we can better understand and solve real-world engineering problems. Therefore, the viscosity index formula deserves our continuous in-depth understanding and application in study and practice.

