BIZOMAT MAKEOS · Engineering

Oil Viscosity at Temperature

What is this oil’s viscosity at the operating temperature?

Kinematic viscosity of a lubricating or hydraulic oil at any temperature from two known points (usually 40 °C and 100 °C) by the ASTM D341 (Walther) relation.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
First known temperature°CTemperature of the first data point (40 °C on most data sheets).
Viscosity at first temperaturecStKinematic viscosity at T1 from the oil data sheet.
Second known temperature°CTemperature of the second data point (usually 100 °C).
Viscosity at second temperaturecStKinematic viscosity at T2.
Operating temperature°CTemperature you need the viscosity at.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: First known temperature
Illustration: First known temperatureA thermometer whose level rises with First known temperature; the level follows the value you type.T₁Example: 40 °CFirst known temperature
What it is
The temperature of the first viscosity value you know for the oil, normally the lower of the two values on the oil data sheet.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -60 °C to 300 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Enter degrees Celsius; the tool converts to kelvin itself.
What this means: Viscosity at first temperature
Illustration: Viscosity at first temperatureFluid layers between a fixed and a moving plate, sliding past each other; Viscosity at first temperature is the fluid’s resistance to that flow.ν₁Example: 46 cStViscosity at first temperature
What it is
The kinematic viscosity of the oil measured at the first known temperature, from the oil data sheet.
Units and format
Enter a number in cSt: centistokes (kinematic viscosity, 1 cSt = 1 mm²/s). The form accepts 0.5 cSt to 1000000 cSt. Required: the tool does not calculate until every input is valid.
Example
The form opens with 46 cSt as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use kinematic viscosity in centistokes (mm²/s), not dynamic viscosity in centipoise.
What this means: Second known temperature
Illustration: Second known temperatureA thermometer whose level rises with Second known temperature; the level follows the value you type.T₂Example: 100 °CSecond known temperature
What it is
The temperature of the second viscosity value you know for the oil, normally the higher data-sheet temperature.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -60 °C to 300 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 100 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
It must differ from the first temperature. Enter degrees Celsius.
What this means: Viscosity at second temperature
Illustration: Viscosity at second temperatureFluid layers between a fixed and a moving plate, sliding past each other; Viscosity at second temperature is the fluid’s resistance to that flow.ν₂Example: 6.8 cStViscosity at second temperature
What it is
The kinematic viscosity of the oil at the second known temperature, from the same data sheet.
Units and format
Enter a number in cSt: centistokes (kinematic viscosity, 1 cSt = 1 mm²/s). The form accepts 0.5 cSt to 1000000 cSt. Required: the tool does not calculate until every input is valid.
Example
The form opens with 6.8 cSt as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Check you have paired each viscosity with its own temperature.
What this means: Operating temperature
Illustration: Operating temperatureA thermometer whose level rises with Operating temperature; the level follows the value you type.TExample: 60 °COperating temperature
What it is
The temperature at which you need the viscosity, such as the bearing, gearbox or hydraulic tank operating temperature.
Units and format
Enter a number in °C: degrees Celsius. The form accepts -60 °C to 300 °C. Required: the tool does not calculate until every input is valid.
Example
The form opens with 60 °C as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A higher temperature gives a lower viscosity.
Get it right
Values between the two known temperatures are interpolated and most reliable; outside them the result is an extrapolation.

Method and formulas

  1. log₁₀ log₁₀(ν + 0.7) = A − B log₁₀(T), with T in kelvin.
  2. A and B are fitted through the two known points.
  3. ν(T) = 10^(10^(A − B log₁₀ T)) − 0.7.
  4. Example: an oil of 46 cSt at 40 °C and 6.8 cSt at 100 °C has about 20.623 cSt at 60 °C.

Limitations

  • Valid for mineral and many synthetic oils in the normal range; not below the pour point.
  • Multigrade and polymer-thickened oils can deviate.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Find operating viscosity for bearing and gear calculations
  • Check hydraulic oil at cold start
  • Compare oil grades

Who it is for

  • Maintenance engineers
  • Reliability engineers
  • Maintenance technicians

What you get

  • Viscosity at the operating temperature
  • Walther constants

Interpreting the result

  • Compare with the viscosity your bearings, gears or hydraulic components need at operating temperature.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2329–2337, 2698. Topic reference; no source tables or recommended settings are reproduced.
  • ASTM D341 Viscosity–Temperature Charts for Liquid Petroleum Products

Learn the Concepts Behind This Tool

These BIZOMAT Library readings explain the method this tool uses, with worked examples.

  • Method explained here · BIZOMAT original book

    Temperature and the Walther relation

    In Viscosity by the Numbers

    What it covers: Find an oil's viscosity at any temperature from its two data sheet values with the Walther (ASTM D341) relation, judge its sensitivity and limits, and avoid linear interpolation.

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