Mechanism of Venous Flow Under Different Degrees of Aspiration

Brecher, Gerhard A.

doi:10.1152/ajplegacy.1952.169.2.423

Cited by 45 publications

(22 citation statements)

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“…The experimental investigations by physiologists such as Fry [4], Brecher [5], and Rodbard [6] are helpful in understanding qualitatively the venous flow to the heart and the blood flow through the pulmonary system. This understanding is based upon the analogy of the steady flow through a vascular system with the flow through an elastic tube (see for details, Guyton [7], Brecher [8], Banister and Torrance [9] and Permutt et al [10]).…”

Section: Introductionmentioning

confidence: 99%

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

et al. 2011

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Abstract:The constitution of blood demands a yield stress fluid model, and among the available yield stress fluid models for blood flow, the Herschel-Bulkley model is preferred (because Bingham, Power-law and Newtonian models are its special cases). The Herschel-Bulkley fluid model has two parameters, namely the yield stress and the power law index. The expressions for velocity, plug flow velocity, wall shear stress, and the flux flow rate are derived. The flux is determined as a function of inlet, outlet and external pressures, yield stress, and the elastic property of the tube. Further when the power-law index = 1 and the yield stress τ 0 → 0, our results agree well with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Furthermore, it is observed that, the yield stress and the elastic parameters ( 1 and 2 ) have strong effects on the flux of the non-Newtonian fluid flow in the elastic tube. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

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Section: Introductionmentioning

confidence: 99%

Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube

et al. 2011

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“…Studies of these phenomena have covered a substantial portion of the literature of biological systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. A typical example is the flow of blood through arteries and veins which are not rigid tubes but elastic tubes.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Pulsed Flow in an Elastic Tube

Chattopadhyay

Sil

2003

Int. J. Mod. Phys. B

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Internal haemorrhage, often leading to cardio-vascular arrest happens to be one of the prime sources of high fatality rates in mammals. We propose a simplistic model of fluid flow to specify the location of the haemorrhagic spots, which, if located accurately, could be operated upon leading to a possible cure. The model we employ for the purpose is inspired by fluid mechanics and consists of a viscous fluid, pumped by a periodic force and flowing through an elastic tube. The analogy is with that of blood, pumped from the heart and flowing through an artery or vein. Our results, aided by graphical illustrations, match reasonably well with experimental observations.

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“…Holt (1941) used the Starling resistor model in an effort to analyze the pressure-flow relationships of large veins. Similar physical models have been used by other experimenters (Brecher, 1952;Rodbard, 1955;Doppman et al, 1966) to model flow through large blood vessels. Although the Starling resistor is a collapsible vessel, its properties do not conform to the waterfall model.…”

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confidence: 99%