Abstract
In the present work, the yield stress of complex materials is analyzed and modeled using the Bautista-Manero-Puig (BMP) constitutive equation, consisting of the upper-convected Maxwell equation coupled to a kinetic equation to account for the breakdown and reformation of the fluid structure. BMP model predictions for a complex fluid in different flow situations are analyzed and compared with yield stress predictions of other rheological models, and with experiments on fluids that exhibit yield stresses. It is shown that one of the main features of the BMP model is that it predicts a real yield stress (elastic solid or Hookean behavior) as one of the material parameters, the zero shear-rate fluidity, is zero. In addition, the transition to fluid-like behavior is continuous, as opposed to predictions of more empirical models.
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References
Abdali, S.S., E. Mitsoulis and N.C. Markatos, 1992, Entry and exit flows of Bingham fluids, J. Rheol. 36, 389–407.
Barnes, H.A., 1999, The yield stress-a review -everything flows? J. Non-Newtonian Fluid Mech. 81, 133–178.
Bautista, F., J.M. De Santos, J.E. Puig and O. Manero, 1999, Understanding thixotropic and antithixotropic behavior of viscoelastic micellar solutions and liquid crystalline dispersions. The model, J Non-Newton Fluid Mech. 80, 93–113.
Bingham, E.C., 1922, Fluidity and Plasticity, McGraw-Hill, New York.
Calderas, F., 2012, Reología en flujo transitorio de la mezcla de nanocompuestos Pet-Pen-Montmorillonita, Ph.D. thesis, División de estudios de Posgrado de la Facultad de Química, Universidad Nacional Autónoma de México, México.
Calderas, F., A. Sánchez-Solís, A. Maciel and O. Manero, 2009, The transient flow of the PEN-Montmorillonite clay Nanocomposite, Macromol Symp. 283–284, 354–360.
Casson, N., 1959, A flow equation for pigment oil suspensions of printing type ink, in Rheology of disperse System, Mill, C.C. (ed.), Pergamon Press, Oxford.
Caton, F., C. Baravian, 2008, Plastic behavior of some yield stress fluids: from creep to long-time yield, Rheol. Acta 47, 601–607.
Cheng, D.C.H., 1985, Yield stress: a time-dependent property and how to measure it, Report No. LR 540 (MH), Warren Spring Laboratory, Department of Industry, UK.
Evans, I.D., 1992, Letter to the editor: on the nature of the yield stress, J. Rheol. 36, 1313–1316.
García-Rojas, B., F. Bautista, J.E. Puig and O. Manero, 2009, Thermodynamic approach to rheology complex fluids: Flowconcentration coupling, Phys. Rev E. 80, 036313/1–036313-12.
Herrera, E.E., F. Calderas, F., A.E. Chavez and O. Manero, 2010, Study of the pulsating flow of a worm-like micellar solution, J. Non-Newtonian Fluid Mech. 165, 174–183.
Herrera, E.E., F. Calderas, A.E., Chávez, O. Manero and B. Mena, 2009, Effect of random longitudinal vibration pipe on the Poiseuille-flow of a complex liquid, Rheol. Acta 48, 779–800.
Herschel, W.H., and T. Bulkley, 1926, Measurement of consistency as applied to rubber-benzene solutions, Am. Soc. Test Proc. 26, 621–633.
Houlsby, G.T. and A.M. Puzrin, 2002, Rate-dependent plasticity models derived from potential functions, J. Rheol. 46, 113–126.
Isayev, A. and X. Fan, 1990, Viscoelastic plastic constitutive equation for flow of particle filled polymers, J. Rheol. 34, 35–54.
Lipscomb, G.G., and M.M. Denn, 1984, Flow of Bingham fluids in complex geometries, J. Non-Newton Fluid Mech. 14, 337–346.
Oldroyd, J.G., 1947, A rational formulation of the equation of plastic flow for a Bingham solid, Proc. Camb. Phil. Soc. 43, 100–105.
Oldroyd, J.G., 1950, On the formulation of rheological equation of state, Proc. Roy. Soc. Lond. A, 200, 525–541.
Papanastasiou, T.C., 1987, Flows of materials with yield, J. Rheol, 31, 385–404.
Saramito, P., 2007, A new constitutive equations for elastoviscoplastic fluid flows, J. Non-Newton Fluid Mech. 145, 1–14.
Saramito, P., 2009, A new elastoviscoplastic model based on the Herschel-Bulkley viscoplastic model, J. Non-Newton Fluid Mech. 158, 154–161.
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Calderas, F., Herrera-Valencia, E.E., Sanchez-Solis, A. et al. On the yield stress of complex materials. Korea-Aust. Rheol. J. 25, 233–242 (2013). https://doi.org/10.1007/s13367-013-0024-7
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DOI: https://doi.org/10.1007/s13367-013-0024-7