Pressure and Temperature Dependent Dynamic Air Viscosity

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SUMMARY

The discussion focuses on the need for a pressure and temperature dependent equation for the dynamic viscosity of air, specifically for conditions ranging from 1 to 450 bars and 0 to 150 degrees Celsius. The Sutherland Equation, which is temperature dependent only, was initially considered inadequate. A recommended resource is the book "Transport Phenomena" by Bird, Stewart, and Lightfoot, which provides a "corresponding states" graph of reduced viscosity as a function of reduced temperature and reduced pressure in Chapter 1.

PREREQUISITES
  • Understanding of dynamic viscosity and its significance in fluid mechanics.
  • Familiarity with the Sutherland Equation and its applications.
  • Knowledge of pressure and temperature effects on gas properties.
  • Basic concepts of reduced properties in thermodynamics.
NEXT STEPS
  • Research the "Transport Phenomena" textbook by Bird, Stewart, and Lightfoot for detailed viscosity correlations.
  • Explore advanced fluid mechanics topics related to compressible flow and viscosity.
  • Investigate empirical equations for dynamic viscosity applicable to high-pressure and high-temperature conditions.
  • Learn about the concept of corresponding states in thermodynamics and its applications in viscosity calculations.
USEFUL FOR

Engineers, researchers, and students working with fluid dynamics, particularly those involved in high-pressure and high-temperature air compression projects.

Sorade
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Hello,

I am currently working on a project which involves compressing air at high pressures and temperatures. I spent hours having a look for a pressure and temperature dependent equation for the dynamic viscosity of air but the only ones I could find were all temperature dependent only, such as the Sutherland Equation.

Does anybody knows of such equations ?

I would be looking for an equation fit to cover the ranges from 1 to 450 bars and 0 to 150 degrees Celsius.

Thank you for your help.
 
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Sorade said:
Hello,

I am currently working on a project which involves compressing air at high pressures and temperatures. I spent hours having a look for a pressure and temperature dependent equation for the dynamic viscosity of air but the only ones I could find were all temperature dependent only, such as the Sutherland Equation.

Does anybody knows of such equations ?

I would be looking for an equation fit to cover the ranges from 1 to 450 bars and 0 to 150 degrees Celsius.

Thank you for your help.
Bird, Stewart, and Lightfoot, Transport Phenomena give a "corresponding states" graph of reduced viscosity as a function of reduced temperature and reduced pressure in Chapter 1. If this correlation is not adequate for you, you can track down the references they give in the chapter.
 
Thank you ! That was exactly what I was looking for :)
 

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