Dimensional Analysis of non-Newtonian Fluids

J. Pawlowski

Abstract
The article provides a new definition of rheological similarity and thus a new basis for the modeling of non-Newtonian fluids: Fluids, whose rheological functions η=f(γ) can be twist-free shifted in a log/log field to a common master curve are rheologically similar and can be mutually used as model fluids in model experiments. This thesis is theoretically explained and confirmed by evaluation of experimental data published in the literature. The rheological similarity, so far explained by the congruency of rheological functions, is now replaced by a less crucial condition of a flexible congruency.

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Keywords
Model theory, non-Newtonian fluids, rheology, transport processes, viscoelasticity