Mapping the local viscosity of non-Newtonian fluids flowing through disordered porous structures.

Scientific Reports
U EberhardM Holzner

Abstract

Flow of non-Newtonian fluids through topologically complex structures is ubiquitous in most biological, industrial and environmental settings. The interplay between local hydrodynamics and the fluid's constitutive law determines the distribution of flow paths. Consequently the spatial heterogeneity of the viscous resistance controls mass and solute transport from the micron to the meter scale. Examples range from oil recovery and groundwater engineering to drug delivery, filters and catalysts. Here we present a new methodology to map the spatial variation of the local viscosity of a non-Newtonian fluid flowing through a complex pore geometry. We use high resolution image velocimetry to determine local shear rates. Knowing the local shear rate in combination with a separate measurement of the fluid's constitutive law allows to quantitatively map the local viscosity at the pore scale. Our experimental results-which closely match with three-dimensional numerical simulations-demonstrate that the exponential decay of the longitudinal velocity distributions, previously observed for Newtonian fluids, is a function of the spatial heterogeneity of the local viscosity. This work sheds light on the relationship between hydraulic propertie...Continue Reading

References

Jul 18, 2002·Accounts of Chemical Research·J Cooper McDonald, George M Whitesides
Jan 27, 2009·Advanced Drug Delivery Reviews·Samuel K LaiJustin Hanes
Apr 7, 2010·Physical Review Letters·Apiano F MoraisJosé S Andrade
May 30, 2013·Frontiers in Oncology·Katarzyna A RejniakDavid L Morse
Aug 13, 2013·Physical Review Letters·Stefano BuzzaccaroRoberto Piazza
Aug 27, 2013·Physical Review Letters·Sujit S DattaDavid A Weitz
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M HolznerM Dentz
Jun 17, 2016·Journal of the Royal Society, Interface·Eleonora SecchiRoman Stocker
Sep 30, 2017·Soft Matter·Nandini DebnathAloke Kumar

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Citations

Feb 20, 2021·Physical Review Letters·Cameron C HopkinsAmy Q Shen
Oct 15, 2021·Lab on a Chip·Simon J HawardAmy Q Shen

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Methods Mentioned

BETA
rheology
chip

Software Mentioned

Fluent
MATLAB
Ansys Fluent
Ansys
PIVLab

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