I'm looking for way to project what the viscosity would be at reference temperature (25C) after measuring the viscosity of the slurry at higher temperature (30C). I've already collected data of the viscosity vs. temperature curve for my slurry, also the viscosity at 25C.
Does anybody how can I establish this relationship (equation) so I could project the viscosity of my slurry at 25C for future batches of my slurry if measured at higher temperature?
This is not exactly my area, but if the suspension has low concentration of solid, then I would try fitting the viscosity (v) vs. temperature (T) data to the usual Arrhenius-like model, v(T) = A * exp(E/RT), which can be fitted as a straight line (viscosity logarithm vs. 1/T) and the slope is E/R.
Now, if the flow activation energy (E) is the same for both slurries, the viscosity can be adjusted as
v(Tref) = v(Tmeas) * exp(E/R*(1/Tref - 1/Tmeas))
However, there are several pitfalls to this model - non-Newtonian behavior and variation in the solid content, which certainly affect the viscosity.
It is not clear to me what are the differences between the slurries you want to measure.
Dear Alan,
Honestly, I did not understand the last part of your text. Could you clarify it better?
The idea behind temperature-compensated viscosity measurement is that, by knowing the viscosity vs. temperature curve of fluid, you can measure the viscosity and temperature of that fluid and then project what the viscosity would be at any other temperature. It’s sound science. The viscosity vs. temperature behavior of a fluid is a physical property and therefore consistent for any given formulation.
Let’s say you set up your system to show the viscosity compensated to 25°C – your target coating temperature. No matter the temperature of the fluid, 20°C, 30°C, 40°C, the system can, and will calculate what the viscosity would be at 25°C and display that value. It’s not the actual viscosity of the fluid at this moment – it’s what it would be if it was at 25°C.
Regards
Dear Alan,
you can fit linear or polynomal
ln(dyn. Visc) = f (1/T[K])
the better way is
Arcsinhyp (ln(kin. visc.)) = f(ln(T))
and the best way is Seeton, Hrnjak (2006) with Besselfunction, but this complicate and to accurate. If you have any questions or need assistance don't hesitate to contact us at ILK. The thermodynamik properties of fluids in the temperature range from -100 °C to 300 °C is our profession and we think we are to ten even top five in the world working with this topic.
Best Regards
Steffen.
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