Investigation of blood rheology under steady and unidirectional large amplitude oscillatory shear

Horner, Jeffrey S.; Armstrong, Matthew; Wagner, Norman J.; Beris, Antony N.

doi:10.1122/1.5017623

Cited by 61 publications

(72 citation statements)

References 45 publications

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“…The idea of using viscosity distribution function as appears in (25) is due to the theoretical and experimental results of blood viscosity behavior that obtained by Cerny and Walawender [4] and Pontrelli [44] and many others [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] as appear in…”

Section: Newtonian Fluid =mentioning

confidence: 99%

“…The idea to use the non-Newtonian fluid was due to the fact that the Newtonian model does not give an appropriate response to many discrepancies observed in experiments. [35][36][37][38][39][40][41][42][43] In this section a solution for the non-Newtonian case ( = 2) will be examined alongside edge conditions (30) and the normalized condition (20b). By substituting = 2 into Equations (9) and (15), we get:…”

Section: Non-newtonian Fluid =mentioning

confidence: 99%

“…Another evident to the rheological behavior of blood flow due to extensional stresses was found by Down et al [37] and Sousa et al, [38] while the latter has exhibited nonlinear viscoelastic behavior, such as the viscous component dominated over the elastic component. Some applications of blood rheological elastic part can be found in Campo-Deaño et al [39] Particularly, the tremendous effect of the nonlinear viscosity on the RBC non-Newtonian fluid behavior was demonstrated by Flormann et al [40] Advanced analytic and experimental models of blood and other rheological fluids have been proposed recently by [41][42][43]. However, those models are not fully completed and limited by geometry (flat plate [41] ) or being semi-empirical without a complete analytical model.…”

Section: Introductionmentioning

confidence: 99%

“…However, those models are not fully completed and limited by geometry (flat plate [41] ) or being semi-empirical without a complete analytical model. [41][42][43] Comparison will be performed here with the following studies. Beginning with the study of Pontrelli [44] that deals with the unsteady flow in a pipe based on Navier-Stokes (NS) equations including the non-linear viscosity.…”

Section: Introductionmentioning

confidence: 99%

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A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

Nagler

2019

Z Angew Math Mech

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The radial planar wedge pattern flow with friction and normalized non-uniform viscosity function will be discussed here. Solving this problem will be done using the flow theory equations for Newtonian and Non-Newtonian cases with non-uniform viscosity assumption. General differential equation that connects between the normalized velocity profile and the normalized viscosity has been derived analytically from the flow equations. It was found that for specific wedge semi angle, the radial assumption is no longer valid for the flow velocity. Moreover, it was found that for inlet/outlet conditions the normalized mean hydrostatic pressure for Newtonian fluid is dependent on the geometry, the normalized velocity and the viscosity functions. In addition, it was found that inertia phenomenon can be neglected for small wedge semi angle. A comparison between the axial and the hydrostatic pressure distributions for inlet/outlet conditions was performed for Newtonian and non-Newtonian flows. Finally, it was found that the axial pressure distribution profile was converged to the hydrostatic profile for critical wedge semi angle. K E Y W O R D Sblood flow, hydrostatic pressure difference, non-linear viscosity, non-Newtonian fluid, viscosity, wedge

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Section: Newtonian Fluid =mentioning

confidence: 99%

Section: Non-newtonian Fluid =mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

Nagler

2019

Z Angew Math Mech

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“…In particular, the dipolar forces exerted by swimmers in a solution can lead to an increase [10] or a decrease in viscosity [11], even turning the solution into a superfluid [12]. This may be of particular relevance for blood flow [13].…”

Section: Introductionmentioning

confidence: 99%

Response of active Brownian particles to shear flow

Asheichyk

Solon

Rohwer

et al. 2019

The Journal of Chemical Physics

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We study the linear response of interacting active Brownian particles in an external potential to simple shear flow. Using a path integral approach, we derive the linear response of any state observable to initiating shear in terms of correlation functions evaluated in the unperturbed system. For systems and observables which are symmetric under exchange of the x and y coordinates, the response formula can be drastically simplified to a form containing only state variables in the corresponding correlation functions (compared to the generic formula containing also time derivatives). In general, the shear couples to the particles by translational as well as rotational advection, but in the aforementioned case of xy symmetry only translational advection is relevant in the linear regime. We apply the response formulas analytically in solvable cases and numerically in a specific setup. In particular, we investigate the effect of a shear flow on the morphology and the stress of N confined active particles in interaction, where we find that the activity as well as additional alignment interactions generally increase the response.

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Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions

et al. 2018

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Investigation of blood rheology under steady and unidirectional large amplitude oscillatory shear

Cited by 61 publications

References 45 publications

A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

Response of active Brownian particles to shear flow

Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions

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