Quantifying electron transport in aggregated colloidal suspensions in the strong flow regime

Hipp, Julie B.; Ramos, Paolo Z.; Liu, Qingsong; Wagner, Norman J.; Richards, Jeffrey J.

doi:10.1073/pnas.2403000121

Quantifying electron transport in aggregated colloidal suspensions in the strong flow regime

Journal Article · Tue Aug 13 00:00:00 EDT 2024 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.2403000121· OSTI ID:2429474

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Center for Neutron Science, Department of Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716
Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL 60208

Electron transport in complex fluids, biology, and soft matter is a valuable characteristic in processes ranging from redox reactions to electrochemical energy storage. These processes often employ conductor–insulator composites in which electron transport properties are fundamentally linked to the microstructure and dynamics of the conductive phase. While microstructure and dynamics are well recognized as key determinants of the electrical properties, a unified description of their effect has yet to be determined, especially under flowing conditions. In this work, the conductivity and shear viscosity are measured for conductive colloidal suspensions to build a unified description by exploiting both recent quantification of the effect of flow-induced dynamics on electron transport and well-established relationships between electrical properties, microstructure, and flow. These model suspensions consist of conductive carbon black (CB) particles dispersed in fluids of varying viscosities and dielectric constants. In a stable, well-characterized shear rate regime where all suspensions undergo self-similar agglomerate breakup, competing relationships between conductivity and shear rate were observed. To account for the role of variable agglomerate size, equivalent microstructural states were identified using a dimensionless fluid Mason number, ${Mn}_{f}$ , which allowed for isolation of the role of dynamics on the flow-induced electron transport rate. At equivalent microstructural states, shear-enhanced particle–particle collisions are found to dominate the electron transport rate. This work rationalizes seemingly contradictory experimental observations in literature concerning the shear-dependent electrical properties of CB suspensions and can be extended to other flowing composite systems.

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Research Organization:: Northwestern Univ., Evanston, IL (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0022119

OSTI ID:: 2429474

Alternate ID(s):: OSTI ID: 2578637

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 34 Vol. 121; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

References (52)

Fluid‐Dynamics‐Processed Highly Stretchable, Conductive, and Printable Graphene Inks for Real‐Time Monitoring Sweat during Stretching Exercise Park, Hong Jun; Jeong, Jae‐Min; Son, Seon Gyu Advanced Functional Materials, Vol. 31, Issue 21 https://doi.org/10.1002/adfm.202011059	journal	March 2021
Semi-Solid Lithium Rechargeable Flow Battery Duduta, Mihai; Ho, Bryan; Wood, Vanessa C. Advanced Energy Materials, Vol. 1, Issue 4, p. 511-516 https://doi.org/10.1002/aenm.201100152	journal	May 2011
Dielectric Spectroscopy of Reversibly Flocculated Dispersions during Flow Genz, U.; Helsen, J. A.; Mewis, J. Journal of Colloid and Interface Science, Vol. 165, Issue 1 https://doi.org/10.1006/jcis.1994.1221	journal	June 1994
Broadband Dielectric Spectroscopy Kremer, Friedrich; Schönhals, Andreas https://doi.org/10.1007/978-3-642-56120-7	book	January 2003
Konsistenzmessungen von Gummi-Benzollösungen Herschel, Winslow H.; Bulkley, Ronald Kolloid-Zeitschrift, Vol. 39, Issue 4 https://doi.org/10.1007/BF01432034	journal	August 1926
Nanodispersions of conducting particles: preparation, microstructure and dielectric properties Pelster, R.; Simon, U. Colloid & Polymer Science, Vol. 277, Issue 1 https://doi.org/10.1007/s003960050361	journal	February 1999
Viscosity and aggregation structure of nanocolloidal dispersions Wang, Tao; Ni, MingJiang; Luo, ZhongYang Chinese Science Bulletin, Vol. 57, Issue 27 https://doi.org/10.1007/s11434-012-5150-y	journal	September 2012
Transport of electric charge in low dielectric constant fluids Gavis, J. Chemical Engineering Science, Vol. 19, Issue 3 https://doi.org/10.1016/0009-2509(64)85034-X	journal	March 1964
Dielectric behaviour of flowing thixotropic suspensions Mewis, J.; De Groot, L. M.; Helsen, J. A. Colloids and Surfaces, Vol. 22, Issue 2 https://doi.org/10.1016/0166-6622(87)80225-1	journal	January 1987
Thixotropy—a review Barnes, Howard A. Journal of Non-Newtonian Fluid Mechanics, Vol. 70, Issue 1-2 https://doi.org/10.1016/S0377-0257(97)00004-9	journal	May 1997
Electron hopping through proteins Warren, Jeffrey J.; Ener, Maraia E.; Vlček, Antonín Coordination Chemistry Reviews, Vol. 256, Issue 21-22 https://doi.org/10.1016/j.ccr.2012.03.032	journal	November 2012
Promising aqueous dispersions of carbon black for semisolid flow battery application Meslam, Mentallah; Elzatahry, Ahmed A.; Youssry, Mohamed Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 648 https://doi.org/10.1016/j.colsurfa.2022.129376	journal	September 2022
A novel manufacturing method for aligned discontinuous fibre composites (High Performance-Discontinuous Fibre method) Yu, H.; Potter, K. D.; Wisnom, M. R. Composites Part A: Applied Science and Manufacturing, Vol. 65 https://doi.org/10.1016/j.compositesa.2014.06.005	journal	October 2014
Electromagnetic shielding of polymer–matrix composites with metallic nanoparticles Jalali, M.; Dauterstedt, S.; Michaud, A. Composites Part B: Engineering, Vol. 42, Issue 6 https://doi.org/10.1016/j.compositesb.2011.05.018	journal	September 2011
Rheological and electrical behaviour of nanocarbon/poly(lactic) acid for 3D printing applications Spinelli, Giovanni; Lamberti, Patrizia; Tucci, Vincenzo Composites Part B: Engineering, Vol. 167 https://doi.org/10.1016/j.compositesb.2019.03.021	journal	June 2019
Stress jumps on weakly flocculated dispersions: Steady state and transient results Dullaert, K.; Mewis, J. Journal of Colloid and Interface Science, Vol. 287, Issue 2 https://doi.org/10.1016/j.jcis.2005.02.018	journal	July 2005
Evaluating the Rheo-electric Performance of Aqueous Suspensions of Oxidized Carbon Black Ramos, Paolo Zapanta; Call, Connor Clayton; Simitz, Lauren Virginia Journal of Colloid and Interface Science, Vol. 634 https://doi.org/10.1016/j.jcis.2022.12.017	journal	March 2023
Electrically conductive hydrogels for flexible energy storage systems Zhang, Wei; Feng, Pan; Chen, Jian Progress in Polymer Science, Vol. 88 https://doi.org/10.1016/j.progpolymsci.2018.09.001	journal	January 2019
Colloidal Suspension Rheology Mewis, Jan; Wagner, Norman J. https://doi.org/10.1017/CBO9780511977978	book	January 2011
Collective diffusion in sheared colloidal suspensions Leshansky, Alexander M.; Morris, Jeffrey F.; Brady, John F. Journal of Fluid Mechanics, Vol. 597 https://doi.org/10.1017/S0022112007009834	journal	February 2008
Mechanical History Dependence in Carbon Black Suspensions for Flow Batteries: A Rheo-Impedance Study Narayanan, Aditya; Mugele, Frieder; Duits, Michael H. G. Langmuir, Vol. 33, Issue 7 https://doi.org/10.1021/acs.langmuir.6b04322	journal	February 2017
Clustering and Percolation in Suspensions of Carbon Black Richards, Jeffrey J.; Hipp, Julie B.; Riley, John K. Langmuir, Vol. 33, Issue 43 https://doi.org/10.1021/acs.langmuir.7b02538	journal	August 2017
Correlating Processing Conditions to Short- and Long-Range Order in Coating and Drying Lithium-Ion Batteries Saraka, Renee M.; Morelly, Samantha L.; Tang, Maureen H. ACS Applied Energy Materials, Vol. 3, Issue 12 https://doi.org/10.1021/acsaem.0c01305	journal	November 2020
Maximum Conductivity of Packed Nanoparticles and Their Polymer Composites Untereker, Darrel; Lyu, Suping; Schley, James ACS Applied Materials & Interfaces, Vol. 1, Issue 1 https://doi.org/10.1021/am800038z	journal	January 2009
Effect of Oxidation of Carbon Material on Suspension Electrodes for Flow Electrode Capacitive Deionization Hatzell, Kelsey B.; Hatzell, Marta C.; Cook, Kevin M. Environmental Science & Technology, Vol. 49, Issue 5, p. 3040-3047 https://doi.org/10.1021/es5055989	journal	February 2015
Electron Tunneling through Fluid Solvents Prokopuk, Nicholas; Son, Kyung-ah; Waltz, Chad The Journal of Physical Chemistry C, Vol. 111, Issue 17 https://doi.org/10.1021/jp070106h	journal	April 2007
Highly Stretchable and Sensitive Strain Sensor Based on Silver Nanowire–Elastomer Nanocomposite Amjadi, Morteza; Pichitpajongkit, Aekachan; Lee, Sangjun ACS Nano, Vol. 8, Issue 5 https://doi.org/10.1021/nn501204t	journal	April 2014
Materials for suspension (semi-solid) electrodes for energy and water technologies Hatzell, Kelsey B.; Boota, Muhammad; Gogotsi, Yury Chemical Society Reviews, Vol. 44, Issue 23 https://doi.org/10.1039/C5CS00279F	journal	January 2015
Design of yield-stress fluids: a rheology-to-structure inverse problem Nelson, Arif Z.; Ewoldt, Randy H. Soft Matter, Vol. 13, Issue 41 https://doi.org/10.1039/C7SM00758B	journal	January 2017
In situ investigation of the rheological and dielectric properties of a cross-linking carbon nanotube-thermosetting epoxy Ramos, Paolo Z.; Sarmah, Anubhav; Green, Micah J. Soft Matter, Vol. 19, Issue 32 https://doi.org/10.1039/D3SM00622K	journal	January 2023
Highly anisotropic vorticity aligned structures in a shear thickening attractive colloidal system Osuji, Chinedum O.; Weitz, David A. Soft Matter, Vol. 4, Issue 7 https://doi.org/10.1039/b716324j	journal	January 2008
Non-aqueous carbon black suspensions for lithium-based redox flow batteries: rheology and simultaneous rheo-electrical behavior Youssry, Mohamed; Madec, Lénaïc; Soudan, Patrick Physical Chemistry Chemical Physics, Vol. 15, Issue 34 https://doi.org/10.1039/c3cp51371h	journal	January 2013
Rheopexy and tunable yield stress of carbon black suspensions Ovarlez, Guillaume; Tocquer, Laurent; Bertrand, François Soft Matter, Vol. 9, Issue 23 https://doi.org/10.1039/c3sm27650c	journal	January 2013
Equation of State for Nonattracting Rigid Spheres Carnahan, Norman F.; Starling, Kenneth E. The Journal of Chemical Physics, Vol. 51, Issue 2 https://doi.org/10.1063/1.1672048	journal	July 1969
A strain-controlled RheoSANS instrument for the measurement of the microstructural, electrical, and mechanical properties of soft materials Richards, Jeffrey J.; Wagner, Norman J.; Butler, Paul D. Review of Scientific Instruments, Vol. 88, Issue 10 https://doi.org/10.1063/1.4986770	journal	October 2017
Long-range electron transfer Gray, H. B.; Winkler, J. R. Proceedings of the National Academy of Sciences, Vol. 102, Issue 10 https://doi.org/10.1073/pnas.0408029102	journal	February 2005
Quantifying the hydrodynamic contribution to electrical transport in non-Brownian suspensions Lin, Han; Majji, Madhu V.; Cho, Noah Proceedings of the National Academy of Sciences, Vol. 119, Issue 29 https://doi.org/10.1073/pnas.2203470119	journal	July 2022
Electron transport and ac electrical properties of carbon black polymer composites Jäger, K-M; McQueen, D. H.; Tchmutin, I. A. Journal of Physics D: Applied Physics, Vol. 34, Issue 17 https://doi.org/10.1088/0022-3727/34/17/319	journal	August 2001
Tunnelling and percolation in lattices and the continuum Balberg, I. Journal of Physics D: Applied Physics, Vol. 42, Issue 6 https://doi.org/10.1088/0022-3727/42/6/064003	journal	March 2009
Simultaneous Rheoelectric Measurements of Strongly Conductive Complex Fluids Helal, Ahmed; Divoux, Thibaut; McKinley, Gareth H. Physical Review Applied, Vol. 6, Issue 6 https://doi.org/10.1103/PhysRevApplied.6.064004	journal	December 2016
Critical behavior of the electrical transport properties in a tunneling-percolation system Rubin, Z.; Sunshine, S. A.; Heaney, M. B. Physical Review B, Vol. 59, Issue 19 https://doi.org/10.1103/PhysRevB.59.12196	journal	May 1999
Solution of the tunneling-percolation problem in the nanocomposite regime Ambrosetti, G.; Grimaldi, C.; Balberg, I. Physical Review B, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevB.81.155434	journal	April 2010
Shear thickening and scaling of the elastic modulus in a fractal colloidal system with attractive interactions Osuji, Chinedum O.; Kim, Chanjoong; Weitz, David A. Physical Review E, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevE.77.060402	journal	June 2008
Scaling of the Viscoelasticity of Weakly Attractive Particles Trappe, V.; Weitz, D. A. Physical Review Letters, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevLett.85.449	journal	July 2000
Large scale anisotropies in sheared colloidal gels Varga, Zsigmond; Swan, James W. Journal of Rheology, Vol. 62, Issue 2 https://doi.org/10.1122/1.5003364	journal	March 2018
Structure-property relationships of sheared carbon black suspensions determined by simultaneous rheological and neutron scattering measurements Hipp, Julie B.; Richards, Jeffrey J.; Wagner, Norman J. Journal of Rheology, Vol. 63, Issue 3 https://doi.org/10.1122/1.5071470	journal	May 2019
A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres Krieger, Irvin M.; Dougherty, Thomas J. Transactions of the Society of Rheology, Vol. 3, Issue 1 https://doi.org/10.1122/1.548848	journal	March 1959
Flow properties and electrical conductivity of carbon black–linseed oil suspension Amari, Takeshi; Watanabe, Koichiro Journal of Rheology, Vol. 34, Issue 2 https://doi.org/10.1122/1.550124	journal	February 1990
Direct measurements of the microstructural origin of shear-thinning in carbon black suspensions Hipp, Julie B.; Richards, Jeffrey J.; Wagner, Norman J. Journal of Rheology, Vol. 65, Issue 2 https://doi.org/10.1122/8.0000089	journal	March 2021
New insights on carbon black suspension rheology—Anisotropic thixotropy and antithixotropy Wang, Yilin; Ewoldt, Randy H. Journal of Rheology, Vol. 66, Issue 5 https://doi.org/10.1122/8.0000455	journal	September 2022
Rheo-electric measurements of carbon black suspensions containing polyvinylidene difluoride in N-methyl-2-pyrrolidone Liu, Qingsong; Richards, Jeffrey J. Journal of Rheology, Vol. 67, Issue 3 https://doi.org/10.1122/8.0000615	journal	March 2023
Effect of steady shear deformation on electrically conductive PP/PS/MWCNT composites Strugova, Daria; David, Éric; Demarquette, Nicole R. Journal of Rheology, Vol. 67, Issue 5 https://doi.org/10.1122/8.0000647	journal	July 2023

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