The existence of an evolving microstructure in a 2.9 vol% fumed silica in paraffin oil and polyisobutylene is demonstrated experimentally and via rheological modeling during steady state and large amplitude oscillatory shear flow. The continuously evolving, rebuilding, and breaking down of the microstructure is shown, and correlated through the rheology experiments, thixo-elastovisco-plastic modeling, and small angle light scattering (SALS). All elements are then connected via a global, stochastic optimization algorithm that will provide parameter estimation with a “best-fit” of the steady state and transient data using the well-known Modified Delaware Thixotropic Model, allowing for the comparison of SALS results with experimental values.
References
[1]
Armstrong, M.J. (2015) Investigating and Modeling the Thixotropic Behavior, Rheology of Complex Material. Ph.D. Thesis, University of Delaware, Newark.
[2]
Armstrong, M.J., Beris, A.N., Rogers, S.A. and Wagner, N.J. (2016) Dynamic Shear Rheology of a Thixotropic Suspension: Comparison of an Improved Structure-Based Model with Large Amplitude Oscillatory Shear Experiments. Journal of Rheology, 60, 433-450. https://doi.org/10.1122/1.4943986
[3]
Armstrong, M.J., Beris, A.N., Rogers, S.A. and Wagner, N.J. (2017) Dynamic Shear Rheology and Structure Kinetics Modeling of a Thixotropic Carbon Black Suspension. Rheologica Acta, 56, 811-824. https://doi.org/10.1007/s00397-017-1038-8
[4]
Armstrong, M.J., Beris, A.N. and Wagner, N.J. (2016) An Adaptive Parallel Tempering Method for the Dynamic Data-Driven Parameter Estimation of Nonlinear Models. AIChE Journal, 63, 1937-1958. https://doi.org/10.1002/aic.15577
[5]
Rogers, S.A. (2012) A Sequence of Physical Processes Determined and Quantified in LAOS: An Instantaneous Local 2D/3D Approach. Journal of Rheology, 56, 1129-1151. https://doi.org/10.1122/1.4726083
[6]
Rogers, S.A. (2017) In Search of Physical Meaning: Defining Transient Parameters for Nonlinear Viscoelasticity. Rheologica Acta, 56, 501-525. https://doi.org/10.1007/s00397-017-1008-1
[7]
Lee, C.W. and Rogers, S.A. (2017) A Sequence of Physical Processes Quantified in LAOS by Continuous Local Measures. Korea-Australia Rheology Journal, 29, 269-279. https://doi.org/10.1007/s13367-017-0027-x
[8]
Gurnon, A.K. and Wagner, N.J. (2015) Microstructure and Rheology Relationships for Shear Thickening Colloidal Dispersions. Journal of Fluid Mechanics, 769, 242-276. https://doi.org/10.1017/jfm.2015.128
[9]
Lopez-Barron, C.R., Wagner, N.J. and Porcar, L. (2015) Layering, Melting, and Recrystallization of a Close-packed Micellar Crystal under Steady and Large-amplitude Oscillatory Shear Flows. Journal of Rheology, 59, 793-820. https://doi.org/10.1122/1.4917542
[10]
Helgeson, M.E., Vasquez, P.A., Kaler, E.W. and Wagner, N.J. (2009) Rheology and Spatially Resolved Structure of Cetyltrimethylammonium Bromide Wormlike Micelles through the Shear Banding Transition. Journal of Rheology, 53, 727-756. https://doi.org/10.1122/1.3089579
[11]
Helgeson, M.E. (2009) Structure, Rheology, and Thermodynamics of Wormlike Micelle-Nanoparticle Mixtures. Ph.D. Thesis, University of Delaware, Newark.
[12]
Lopez-Barron, C.R., Gurnon, A.K., Eberle, A.P.R., Porcar, L. and Wagner, N.J. (2014) Spatiotemporal Stress and Structure Evolution in Dynamically Sheared Polymer-Like Micellar Solutions. Soft Matter, 10, 2889-2898. https://doi.org/10.1039/C3SM53113A
[13]
Kim., J.M., Gurnon, K.A., Eberle, A.P., Porcar, L. and Wagner, N.J. (2014) The Microstructure and Rheology of a Model, Thixotropic Nanoparticle Gel Under Steady Shear and Large Amplitude Oscillatory Shear (LAOS). Journal of Rheology, 58, 1301-1328. https://doi.org/10.1122/1.4878378
[14]
Eberle, A.P.R. and Porcar, L. (2012) Flow-SANS and Rheo-SANS Applied to Soft Matter. Current Opinion in Colloid and Interface Science, 17, 33-43. https://doi.org/10.1016/j.cocis.2011.12.001
[15]
Kim, J.M. (2013) Effect of the Range of Attraction on the Rheology, Microstructure, and Thermodynamics of Thermoreversible Gels with Adhesive Hard-Sphere Interactions. Ph.D. Thesis, University of Delaware, Newark.
[16]
Gurnon, K.A. (2014) Nonlinear Oscillatory Rheology and Structure of Wormlike Micellar Solutions and Colloidal Suspensions. Ph.D. Thesis, University of Delaware, Newark.
[17]
Walker, L.M. and Wagner, N.J. (1995) Structure of Isotropic Solutions of Rigid Macromolecules via Small-Angle Neutron Scattering: Poly (.gamma.-benzyl L-glutamate)/Deuterated Dimethylformamide. Macromolecules, 28, 5075-5081. https://doi.org/10.1021/ma00118a041
[18]
LaFollette, A.T. and Walker, L.M. (2011) Structural and Mechanical Hysteresis at the Order-Order Transition of Block Copolymer Micellar Crystals. Polymers, 3, 281-298. https://doi.org/10.3390/polym3010281
[19]
Pignon, F., Magnin, A. and Piau, J.M. (1997) Butterfly Light Scattering Pattern Rheology of a Sheared Thixotropic Clay Gel. Physical Review Letters, 79, 4689-4692. https://doi.org/10.1103/PhysRevLett.79.4689
[20]
Walker, L.M. (2009) Scattering from Polymer-Like Micelles. Current Opinion in Colloid and Interface Science, 14, 451-454. https://doi.org/10.1016/j.cocis.2009.08.001
[21]
Behrens, M.A., Bergenholtz, J. and Pedersen, J.S. (2014) Temperature-Induced Attractive Interactions of PEO-Containing Block Copolymer Micelles. Langmuir, 30, 6021-6029. https://doi.org/10.1021/la500154s
[22]
Agrawal, Y.C., Whitmire, A., Mikkelsen, O.A. and Pottsmith, H.C. (2008) Light Scattering by Random Shaped Particles and Consequences on Measuring Suspended Sediments by Laser Diffraction. Journal of Geophysical Research: Oceans, 113, C04023. https://doi.org/10.1029/2007JC004403.
[23]
De Bruyn, J.R., Pignon, F., Tsabet, E. and Mignon, A. (2007) Micron-Scale Origin of the Shear Induced Structure in Laponite-Poly(Ethylene Oxide) Dispersions. Rheologica Acta, 47, 63-73. https://doi.org/10.1007/s00397-007-0211-x
[24]
Gurnon, K. (2010-2012) LAOS of a 30nm Adhesive Hard Sphere System. Grenoble- NIST.
[25]
Pincot, A. and Armstrong, M. (2021) Novel Tensorial Thixo-Visco-Plastic Framework for Rheological Characterization of Human Blood. Scientific Reports, 11, Article No. 22004. https://doi.org/10.1038/s41598-021-01362-8.
[26]
Dullaert, K. and Mewis, J (2006) A Structural Kinetics Model for Thixotropy. Journal of Non-Newtonian Fluid Mechanics, 139, 21-30. https://doi.org/10.1016/j.jnnfm.2006.06.002
[27]
Dimitriou, C.J., Ewoldt, R.H. and McKinley, G.H. (2013) Describing and Prescribing the Constitutive Response of Yield Stress Fluids Using Large Amplitude Oscillatory Shear Stress (LAOStress). Journal of Rheology, 57, 27-70. https://doi.org/10.1122/1.4754023
[28]
Varchanis, S., Makrigiorgos, G., Moschopoulos, P., Dimakopoulos, Y. and Tsamopoulos, J. (2019) Modeling the Rheology of Thixotropic Elasto-Visco-Plastic Materials. Journal of Rheology, 63, 609-639. https://doi.org/10.1122/1.5049136
[29]
Apostolidis, A., Armstrong, M.J. and Beris, A. (2015) Modeling of Human Blood Rheology in Transient Shear Flows. Journal of Rheology, 59, 275-298. https://doi.org/10.1122/1.4904423
[30]
Dullaert, K. (2005) Constitutive Equations for Thixotropic Dispersions. Ph.D. Thesis, Katholieke Universiteit Leuven, Leuven.
[31]
Walker, L.M. and Wagner, N.J. (1996) SANS Analysis of the Molecular Order in Poly (γ-benzyl L-glutamate)/Deuterated Dimenthylformamide (PBLG/d-DMF) under Shear and during Relaxation. Macromolecules, 29, 2298-2301. https://doi.org/10.1021/ma951127p
[32]
Eberle, A.P.R., Castaneda-Preigo, R., Kim, J.M. and Wagner, N.J. (2011) Dynamical Arrest, Percolation, Gelation, and Glass Formation in Model Nanoparticle Dispersions with Thermoreversible Adhesive Interactions. Langmuir, 28, 1866-1878. https://doi.org/10.1021/la2035054
[33]
Teledyne Lumenera (2021) Lumenera Software Training and Tutorials. https://www.lumenera.com/support/industrial-usb-ethernet/training-tutorials.html
[34]
Laven, P. (2012) MiePlot v4. http://www.philiplaven.com/mieplot
[35]
Franck, A. (2008) Small Angle Light Scattering Option for AR Rheometers. TA Instruments Guide.
[36]
TA Instruments (2008) AR Series Small Angle Light-Scattering (SALS) Accessory. TA Instruments Guide.
[37]
Armstrong, M.J., Scully, M., Clark, M., Corrigan, T. and James, C. (2021) A Simple Approach for Adding Thixotropy to an Elasto-Visco-Plastic Rheological Model to Facilitate Structural Interrogation of Human Blood. Journal of Non-Newtonian Fluid Mechanics, 290, Article ID: 104503. https://doi.org/10.1016/j.jnnfm.2021.104503
[38]
Armstrong, M.J., Baker, J., Trump, J., Miller, E., Wickiser, J., Cameron, K., Clark, N., Schwarting, K., Brown, T., Bailey, D., James, C., Nguyen, C. and Corrigan, T. (2021) Structure-Rheology Elucidation of Human Blood via SPP Framework and TEVP Modeling. Korea-Australia Rheology Journal, 33, 45-63. https://doi.org/10.1007/s13367-021-0005-1
