On the pulsating flow behavior of a biological fluid: human blood

Herrera‐Valencia, E. E.; Calderas, Fausto; Medina‐Torres, Luis; Pérez-Camacho, M.; Moreno, Leonardo; Manero, Ο.

doi:10.1007/s00397-017-0994-3

Cited by 15 publications

(8 citation statements)

References 62 publications

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“…K 0 has units (stress) −1 , which indicates that Γ is in some way a ratio of stresses. When we come to solve for steady channel flow, the parameter Γ only appears in the combination ΓΛ, which has been defined by Herrera [27] as the ratio between viscous work and kinetic structural work:…”

Section: Dimensionless Critical Stress and Thixoplastic Numbermentioning

confidence: 99%

Elastic instabilities in pressure-driven channel flow of thixotropic-viscoelasto-plastic fluids

Castillo

Wilson

2018

Journal of Non-Newtonian Fluid Mechanics

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • We use the Bautista-Manero-Puig model to investigate channel ow instabilities. • Instability is seen when viscoelastic effects dominate; thixotropy is stabilising.

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Section: Dimensionless Critical Stress and Thixoplastic Numbermentioning

confidence: 99%

Elastic instabilities in pressure-driven channel flow of thixotropic-viscoelasto-plastic fluids

Castillo

Wilson

2018

Journal of Non-Newtonian Fluid Mechanics

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“…Heat dissipation and non-linear effects due to high frequencies, compressible systems (density as a function of the pressure drop), and others diseases which can affect the hearing system (hypercholesterolemia, hyperglycemia, genetic problems, etc.) lie outside of the scope of the present research [37][38][39][40][41]. A posible path to continue this research is to exted it to new models in the regime of nonlinear viscoelasticity (large deformations).…”

Section: Discussionmentioning

confidence: 87%

“…These new approaches must be explored through analytical and numerical algoritms and can be a starting point of new reaserch. The present theory, model, and computations contribute to the evolving fundamental understanding of biological shape actuation through electromechanical couplings [1][2][3][4][9][10][11][12][35][36][37] involving liquid crystallinity. Refers to the bottom and the top fluids dissipation, pressure, elastic storage energy, beta parameter and viscosity inertia function are given by: (i) the amplitude of the external electrical field; (ii) the radius of the pipe; (iii) the sum of the viscoelastic times in the bottom and the top fluids; (iv) the sum of the elastic moduli in the bottom and the top fluids; (v) the electric charge; and (vi) the shape factor area.…”

Section: Discussionmentioning

confidence: 94%

“…As a partial summary, both the direct and converse membrane flexoelectric effects are sensor-actuator properties when membrane curvature and polarization are coupled as in nematic liquid crystals [1][2][3][6][7][8]. Membrane flexoelectricity due to its inherent sensor-actuator capabilities is an area of current interest in medicine, soft matter and biological materials [33][34][35][36][37][38]. The specific objectives of this paper are:…”

Section: Introductionmentioning

confidence: 99%

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Electrorheological Model Based on Liquid Crystals Membranes with Applications to Outer Hair Cells

Herrera‐Valencia

Rey

2018

Fluids

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Liquid crystal flexoelectric actuation uses an imposed electric field to create membrane bending, this phenomenon is found in outer hair cells (OHC) located in the inner ear, whose role is to amplify sound through the generation of mechanical power. Oscillations in the OHC membranes create periodic viscoelastic flows in the contacting fluid media. A key objective of this work on flexoelectric actuation relevant to OHC is to find the relations and impact of the electro-mechanical properties of the membrane, the rheological properties of the viscoelastic media, and the frequency response of the generated mechanical power output. The model developed and used in this work is based on the integration of: (i) the flexoelectric membrane shape equation applied to a circular membrane attached to the inner surface of a circular capillary, and (ii) the coupled capillary flow of contacting viscoelastic phases, which are characterized by the Jeffreys constitutive equation with different material conditions. The membrane flexoelectric oscillations drive periodic viscoelastic capillary flows, as in OHCs. By applying the Fourier transform formalism to the governing equations and assuming small Mach numbers, analytical equations for the transfer function, associated to the average curvature, and for the volumetric rate flow as a function of the electrical field were found, and these equations can be expressed as a third-order differential equation which depends on the material properties of the system. When the inertial mechanisms are considered, the power spectrum shows several resonance peaks in the average membrane curvature and volumetric flow rate. When the inertia is neglected, the system follows a non-monotonic behavior in the power spectrum. This behavior is associated with the solvent contributions related to the retardation-Jeffreys mechanisms. The specific membrane-viscoelastic fluid properties that control the power response spectrum are identified. The present theory, model, and computations contribute to the evolving fundamental understanding of biological shape actuation through electromechanical couplings.

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“…Among the analytical studies on pulsatile flows of non-Newtonian fluids, the following works can be mentioned: Barnes et al [9] for some kind of Oldroyd fluids; Phan-Thien [10,11] and Steller [12] for generalized Maxwell fluids; Davies et al [13] for the Goddard-Miller model, power-law, and Segalman viscosity functions; Mai and Davis [14] for Bingham plastics; Daprà and Scarpi [15] for power-law fluids. Recognizing the non-Newtonian behavior of the blood [16], an important amount of work has been done addressing the circulation of blood in veins and arteries, stimulating the study of the pulsatile flow of non-Newtonian fluids (for example, references [17][18][19] among others). The most used approach to get the analytical solution of the non-Newtonian pulsatile flow is by means of power expansions, truncated at the first-or second-order, depending on the author.…”

Section: Introductionmentioning

confidence: 99%

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

González

Tamburrino

Vacca

et al. 2020

Water

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The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

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On the pulsating flow behavior of a biological fluid: human blood

Cited by 15 publications

References 62 publications

Elastic instabilities in pressure-driven channel flow of thixotropic-viscoelasto-plastic fluids

Elastic instabilities in pressure-driven channel flow of thixotropic-viscoelasto-plastic fluids

Electrorheological Model Based on Liquid Crystals Membranes with Applications to Outer Hair Cells

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

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