Continuous flow of a thixotropic elasto-viscoplastic-banded structured fluid: Exponential structure rheological constitutive equation
Por:
Ramírez-Torres, LA, Herrera-Valencia, EE, Soriano-Correa, C, Sánchez-Villavicencio, ML, Campos-Fernández, L, Ascanio, G, Hernández-Abad, VJ, Calderas, F
Publicada:
1 nov 2024
Resumen:
In this work, the viscoelastic behavior of a complex structured liquid in a continuous squeeze flow is analyzed. This flow is simulated allowing a continuous flow of liquid into the narrow gap between two circular plates though the lower plate. The complex liquid is characterized by the exponential structure rheological (ESR) constitutive equation, which is a generalized exponential thixotropic-elasto-viscoplastic-banded model, chosen for this study due to its capacity to predict non-Newtonian and complex behavior such as (i) shear-thinning, (ii) shear-thickening, (iii) yield stress, (iv) thixotropy, (iv) rheopexy, and (v) shear banding flow behavior. The exponential rheological equation of state is defined by a class of exponential Phan-Thien-Tanner-type models, which includes specific cases documented in the literature. The viscoelastic, kinetic, and structural mechanisms in the ESR model are characterized by the association of non-dimensional numbers to each mechanism. To solve the set of non-linear partial differential equations, a perturbation scheme is suggested, based on a small parameter that represents the ratio between two characteristic lengths. At zeroth order (neglecting the inertial mechanisms of the momentum equation), it is found that the normal force on the upper disk is directly related to shear dependent viscosity (thixotropy, shear-thinning, shear-thickening, yield stress behavior, and concentration effects). At first order, the normal force is related to the effects of the elasticity, and it is parallel to the first normal stress difference associated with the elasticity of the ESR structured fluid. (c) 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)
Filiaciones:
Ramírez-Torres, LA:
Lab Reol & Fenomenos Transporte, Unidad Invest Bioingn, L-7 Primer Piso, Ciudad De Mexico 09230, Mexico
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Unidad Multidisciplinaria Invest Expt Zaragoza UMI, Carrera Ingn Quim, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Herrera-Valencia, EE:
Lab Reol & Fenomenos Transporte, Unidad Invest Bioingn, L-7 Primer Piso, Ciudad De Mexico 09230, Mexico
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Unidad Multidisciplinaria Invest Expt Zaragoza UMI, Carrera Ingn Quim, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Soriano-Correa, C:
Univ Nacl Autonoma Mexico, Fac Estudios Super FES Zaragoza, Unidad Quim Computac, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Sánchez-Villavicencio, ML:
Lab Reol & Fenomenos Transporte, Unidad Invest Bioingn, L-7 Primer Piso, Ciudad De Mexico 09230, Mexico
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Unidad Multidisciplinaria Invest Expt Zaragoza UMI, Carrera Ingn Quim, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Campos-Fernández, L:
Univ Nacl Autonoma Mexico, Fac Estudios Super FES Zaragoza, Unidad Quim Computac, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Ciclo Basico Carrera Ingn Quim, Batalla 5 Mayo S-N, Ciudad De Mexico, Mexico
Ascanio, G:
Univ Nacl Autonoma Mexico, Inst Ciencias Aplicadas & Tecnol, Ciudad Univ, Ciudad De Mexico 04510, Mexico
Hernández-Abad, VJ:
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Lab Invest Farmaceut, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
Calderas, F:
Lab Reol & Fenomenos Transporte, Unidad Invest Bioingn, L-7 Primer Piso, Ciudad De Mexico 09230, Mexico
Univ Nacl Autonoma Mexico, Fac Estudios Super Zaragoza, Unidad Multidisciplinaria Invest Expt Zaragoza UMI, Carrera Ingn Quim, Batalla 5 Mayo S-N, Ciudad De Mexico 09230, Mexico
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