Temperature-Dependence of Viscosity of a Fluid?

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SUMMARY

The discussion focuses on the temperature dependence of viscosity in fluids, specifically glycerol, and its impact on the terminal velocity of a sphere falling through the fluid. The user references Stoke's Law to relate viscosity and terminal velocity but seeks clarification on the constants A and B in the temperature-viscosity relationship. These constants are fundamental to understanding how viscosity changes with temperature and can be found in scientific literature or specific fluid property databases. The user is encouraged to utilize the provided Wikipedia link for further insights into the two-parameter exponential model of viscosity.

PREREQUISITES
  • Understanding of Stoke's Law and its application in fluid dynamics
  • Familiarity with the concept of viscosity and its measurement
  • Basic knowledge of mathematical modeling in physics
  • Access to fluid property databases for specific constants
NEXT STEPS
  • Research the two-parameter exponential model of viscosity as detailed in the Wikipedia article
  • Explore fluid property databases to find values for constants A and B for various fluids
  • Study the effects of temperature on viscosity using experimental data
  • Investigate alternative models for temperature dependence of viscosity beyond the two-parameter model
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Students and professionals in physics, engineering, and materials science who are studying fluid dynamics and the effects of temperature on fluid properties.

bingbong08
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TL;DR
What does the Andrade equation for relating viscosity and temperature actually show?
Hi all,

I was looking into how the temperature of a viscous fluid (glycerol, for instance) affects the terminal velocity of a sphere falling through and deriving a mathematical relationship. I know that the viscosity and terminal velocity can be related through Stoke's law, but had a bit of trouble with the temperature bit.

I found the following equation:
Screenshot 2025-05-01 at 5.09.13 PM.png

But couldn't find any info on what A and B actually are, apart from being 'fundamental constants'. What exactly are those constants, and how do I find their values for certain fluids? Or are I overcomplicating this, and shouldn't be using this equation at all for finding the temperature-dependence of terminal velocity?

Thanks!
 
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