What is the formula for the change in viscosity with concentration?

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Petr Lepcio

Hi,

this is a very complex topic, and you provide too little information. Viscosity is sensitive to internal structure and forces, and concentration changes may result in non-trivial variation of rheological properties. See, for instance, our data for polysaccharide/PEO mixture solutions:

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Nonetheless, you can use the equations derived for suspensions (Einstein's equation and its modified versions) for diluted polymer solutions. Krieger & Dougherty or Maron & Pierce models could be used for more concentrated solutions.

Article The rheology of suspensions of solid particles

I see in your profile that you are interested in nanoparticles and nanomaterials. Note that the viscosity of polymer nanocomposite suspensions may be dominated by the polymer-particle interaction and either the polymer adsorption on the nanoparticle or the depletion attraction.

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Krystian Jędrzejczak

as mentioned earlier by Petr Lepcio , the effect of concentration on viscosity is very complicated; changing the composition can also cause the appearance of thinning or shear-thickening effects. This issue is covered extensively in my article on blood rheology based on population balance and in the work of Buyevich and Kapbsov.

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Dong Wang

As Petr Lepcio and Krystian Jędrzejczak mentioned before, the effect of solution concentration on its viscosity is very complex. There is no widely accepted general formula, and there may be different formulas for different solutions. As far as my research is concerned, the viscosity of coal gangue-based filling slurry ( mixed with coal gangue particles, fly ash, cement and water ) increases with the increase of concentration, and the relationship between the two can be described by polynomials.

Seongbeom Jeon

Thanks to Petr Lepcio and Krystian Jędrzejczak and Dong Wang for kind answer.

I have the viscosity of 0.5% chitosan dissolved in 0.5% acetic acid. 28mPa.s

If I change the concentration of chitosan or acetic acid, is it possible to calculate the viscosity about the changed concentration??

The chitosan solution's viscosity scale with concentration according to the standard viscosity equation for polymers. Given the concentration of 0.5%, the semi-diluted range is most relevant.

The acetic acid concentration will control pH, and that is a very complex interplay of forces. A few ideas from the literature:

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