Effect of slip on the rheology of a composite fluid: application to blood

Nubar, Yves

doi:10.3233/bir-1967-4401

Cited by 16 publications

(7 citation statements)

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“…The mean flow resistance increase during coronary artery catheterization in normal as well as stenosed arteries has been studied by Back et al [12]. A number of theoretical studies of suspensions in general and blood flow in particular are given by Jones [13], Nuber [14], Brunn [15], and experimental studies by Bugliarello and Hayden [16]; Bennet [17], suggest the likely presence of slip (a velocity discontinuity) at the flow boundaries (or in their immediate neighbourhood). Misra and Shit [18], Ponalgusamy [19], have developed mathematical models for blood flow through stenosed arterial segment, by taking a velocity slip condition at the constricted wall.…”

Section: Introductionmentioning

confidence: 99%

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Sharma¹,

Singh²,

Bansal³

2014

JBiSE

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Catheter is commonly used by the surgeons for various reasons in the treatment of a patient suffering with cardiovascular diseases. Catheterization increases the mean flow resistance in the arterial blood flow and many other complications are associated with the presence of catheter in the artery. Effects of catheter in stenosed artery can be estimated non-invasively by means of hemodynamic indicator-WSS, WSSG, volume flow rate and impedance. The effect of slip at the arterial wall, inclination of the artery and magnetic field on the hemodynamic indicators and flow profiles are computed, presented and discussed through graphs.

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Section: Introductionmentioning

confidence: 99%

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Sharma¹,

Singh²,

Bansal³

2014

JBiSE

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“…where the differential operators are referred to dimensional variables, * is the blood density, p * the pressure, and T * = 2η * (φ)D * , with η * (φ) the hematocrit-dependent blood viscosity, and D * = (1/2) ∇ * u * + ∇ * u * T . Concerning η * (φ), the current literature offers a variety of empirical laws (see, for example, [42][43][44][45][46][47]).…”

Section: The Haynes' Conjecture and Its Physiological Implicationsmentioning

confidence: 99%

Mathematical Models for Some Aspects of Blood Microcirculation

2021

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Blood rheology is a challenging subject owing to the fact that blood is a mixture of a fluid (plasma) and of cells, among which red blood cells make about 50% of the total volume. It is precisely this circumstance that originates the peculiar behavior of blood flow in small vessels (i.e., roughly speaking, vessel with a diameter less than half a millimeter). In this class we find arteriolas, venules, and capillaries. The phenomena taking place in microcirculation are very important in supporting life. Everybody knows the importance of blood filtration in kidneys, but other phenomena, of not less importance, are known only to a small class of physicians. Overviewing such subjects reveals the fascinating complexity of microcirculation.

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“…in which slip was allowed as a function of shear stress have also accounted for several flow characteristics observed experimentally (12,13).…”

Section: Introductionmentioning

confidence: 98%

“…i .. ; . 2 For a more detailed review of opinions regarding slip, see reference 13. For an historical summary of views on slip, see reference 8. 3 The contact is an "optical" one (resolution > 0.04 microns).…”

Section: Introductionmentioning

confidence: 99%

Blood Flow, Slip, and Viscometry

Nubar¹

1973

Biophysical Journal

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The viscosity of blood, measured by the usual viscometers in which slip is not considered, is found to be flow dependent, varying markedly with shear rate, pressure gradient, and vessel diamcter in the lower ranges of these factors. The study postulates, on grounds thought reasonable, that slip may be present in blood flow, as a function of the nature of the wall surfaces, shear stress at the wall, and relative cell volume (RCV) adjacent to the wall. It presumes that blood possesses a specific, flow-independent viscosity, and determines theoretically the viscosity indications of viscometers if blood slipped in the instruments. The study shows that if the slip function is of a certain plausible form, these viscosity indications would exhibit a flow dependence of much the same pattern as the actual indications supplied by the usual viscometers. The slip postulate permits, therefore, an interpretation of the "anomalous" flow behavior of blood, dispensing with the prevailing assumption of an ad hoc variability of its viscosity with flow factors. To the extent that viscometric data for blood may be representative of other non-newtonian fluids, the slip postulate may be applicable to these fluids.

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Effect of slip on the rheology of a composite fluid: application to blood

Cited by 16 publications

References 0 publications

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Pulsatile MHD Flow in an Inclined Catheterized Stenosed Artery with Slip on the Wall

Mathematical Models for Some Aspects of Blood Microcirculation

Blood Flow, Slip, and Viscometry

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