A constitutive equation for whole human blood

Walburn, F. J.; Schneck, Daniel J.

doi:10.3233/bir-1976-13307

Cited by 195 publications

(111 citation statements)

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Section: Viscosity Of Bloodmentioning

confidence: 99%

“…Representative curves for the Walburn-Schneck model (WS) [140] with factors depending on the hematocrit are also shown. The viscosity functions obtained from [140] for H t = 40% and [69] for H t = 40.5% are quite close. In contrast, those in [69] and [79] for H t = 45% are substantially different, likely due to the difference in the temperatures.…”

Section: Viscosity Of Bloodmentioning

confidence: 99%

“…The shear thinning power-law model is often used for blood, due to the analytical solutions easily obtained for its governing equations, but it predicts an unbounded viscosity at zero shear rate and zero viscosity whenγ → ∞, which is unphysical. One of the extensions of the power-law model is due to Walburn and Schneck [140] who considered the dependence of the viscosity on the hematocrit (H t ) and total protein minus albumin (TPMA) in the constants n and K, based on nonlinear regression analysis, and found…”

Section: Viscosity Of Bloodmentioning

confidence: 99%

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Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

161

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Abstract. This review is devoted to recent developments in blood flow modelling. It begins with the discussion of blood rheology and its non-Newtonian properties. After that we will present some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we will describe the method of Dissipative Particle Dynamics and will present some results of blood flow modelling. The last part of this paper deals with onedimensional global models of blood circulation. We will explain the main ideas of this approach and will present some examples of its application.

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Section: Viscosity Of Bloodmentioning

confidence: 99%

Section: Viscosity Of Bloodmentioning

confidence: 99%

Section: Viscosity Of Bloodmentioning

confidence: 99%

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Methods of Blood Flow Modelling

Bessonov

Sequeira

Simakov

et al. 2015

Math. Model. Nat. Phenom.

161

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show abstract

“…It is well known that blood is a non-Newtonian fluid (Pedley, 1980;Berger and Jou, 2000) and several models have been proposed to predict the stress-strain relationship for blood (Walburn and Schneck, 1976;Cho and Kensey, 1991;Fung, 1993;Ballyk et al, 1994). However, none of these models is generally accepted as a reflection of the true behaviour of the rheology of blood.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth noting that the various non-Newtonian blood models are obtained by parameter fitting to experimental viscosity data obtained at certain shear rates under steady state conditions (Walburn and Schneck, 1976;Cho and Kensey, 1991;Fung, 1993;Ballyk et al, 1994).…”

Section: Introductionmentioning

confidence: 99%

Non-Newtonian blood flow in human right coronary arteries: steady state simulations

Johnston

Corney

et al. 2004

Journal of Biomechanics

573

349

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This study looks at pulsatile blood flow through four different right coronary arteries, which have been reconstructed from bi-plane angiograms. A non-Newtonian blood model (the Generalised Power Law), as well as the usual Newtonian model of blood viscosity, is used to study the wall shear stress in each of these arteries over the entire cardiac cycle. The difference between Newtonian and non-Newtonian blood models is also studied over the whole cardiac cycle using the recently generalised global non-Newtonian importance factor. In addition, the flow is studied by considering paths of massless particles introduced into the flow field.The study shows that, when studying the wall shear stress distribution for transient blood flow in arteries, the use of a Newtonian blood model is a reasonably good approximation. However, to study the flow within the artery in greater detail, a non-Newtonian model is more appropriate.

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Optimal design of non‐Newtonian, micro‐scale viscous pumps for biomedical devices

Silva

Kobayashi

Coimbra

2006

Biotech & Bioengineering

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The present paper addresses the numerical optimization of geometrical parameters of non-Newtonian micro-scale viscous pumps for biomedical devices. The objective is to maximize the mass flow rate per unit of shaft power consumed by the rotor when an external pressure load is applied along the channel that houses the rotor. Two geometric parameters are considered in the optimization process: (i) the height of the channel that houses the rotor (H) and (ii), the eccentricity (e) of the rotor. Three different micro-scale viscous pump configurations were tested: a straight-housed pump (I-shaped housing) and two curved housed pumps (L-and U-shaped housings). The stressstrain constitutive law is modeled by a power-law relation. The results show that the geometric optimization of microscale viscous pumps is critical since the mass flow rate propelled by the rotor is highly dependent on e and H. Numerical simulations indicate that mass flow rate is maximized when e $ 0, namely when the rotor is placed at a distance of 0.05 radii from the lower wall. The results also show that micro-scale viscous pumps with curved housing provide higher mass flow rate per unit of shaft power consumed when compared with straight-housed pumps. The results are presented in terms optimized dimensions of all three configurations (i.e., H opt and e opt ) and for values of the power-law index varying between 0.5 (shear thinning fluids) and 1.5 (shear-thickening fluids).

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A constitutive equation for whole human blood

Cited by 195 publications

References 0 publications

Methods of Blood Flow Modelling

Methods of Blood Flow Modelling

Non-Newtonian blood flow in human right coronary arteries: steady state simulations

Optimal design of non‐Newtonian, micro‐scale viscous pumps for biomedical devices

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