Steady laminar flow through modelled vascular stenoses

The Navier-Stokes equation in a rotating frame of reference is solved numerically to obtain the flow field for a steady, fully developed laminar flow of a Newtonian fluid in a twisted tube having a square cross-section. The macroscopic force and energy balance equations and the viscous dissipation term are presented in terms of variables in a rotating reference frame. The computed values of friction factor are presented for dimensionless twist ratios, (i.e., length of tube over a rotation of π radians normalized with respect to half the width of tube) of 20, 10, 5 and 2.5 and for Reynolds numbers up to 2000. The qualitative nature of the axial velocity profile was observed to be unaffected by the swirling motion. The secondary motion was found to be most important near the wall.

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Converting steady laminar flow to oscillatory flow through a hydroelasticity approach at microscales

Lab on a Chip ◽

10.1039/c1lc20667b ◽

2012 ◽

Vol 12 (1) ◽

pp. 60-64 ◽

Cited By ~ 18

Author(s):

H. M. Xia ◽

Z. P. Wang ◽

W. Fan ◽

A. Wijaya ◽

W. Wang ◽

...

Keyword(s):

Laminar Flow ◽

Oscillatory Flow ◽

Flow Through ◽

Steady Laminar

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STEADY LAMINAR FLOW THROUGH TWISTED PIPES: FLUID FLOW AND HEAT TRANSFER IN RECTANGULAR TUBES

Chemical Engineering Communications ◽

10.1080/00986448308940283 ◽

1983 ◽

Vol 21 (1-3) ◽

pp. 151-173 ◽

Cited By ~ 4

Author(s):

K. NANDAKUMAR ◽

J.H. MASLIYAH

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Laminar Flow ◽

Flow And Heat Transfer ◽

Flow Through ◽

Rectangular Tubes ◽

Steady Laminar

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Steady laminar flow of blood through successive restrictions in circular conduits of small diameter

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/09544062jmes829 ◽

2008 ◽

Vol 222 (8) ◽

pp. 1557-1573 ◽

Cited By ~ 2

Author(s):

D Nag ◽

A Datta

Keyword(s):

Blood Flow ◽

Pressure Drop ◽

Laminar Flow ◽

Small Diameter ◽

Rigid Wall ◽

Pressure Loss Coefficient ◽

Axial Velocity Distribution ◽

Recirculation Zones ◽

Flow Through ◽

Steady Laminar

In this paper, numerical results on steady laminar flow of blood through an artery having two successive identical axisymmetric restrictions are presented, at varying degrees of restrictions. Physically, such a flow has features in common with steady blood flow through an artery with multiple stenoses. Additionally, results are presented for the blood flow through an artery in the presence of a single restriction, for comparison. The artery has been modelled as a tube with a rigid wall. The rheological characteristics of blood have been assumed both as Newtonian and non-Newtonian. Three different non-Newtonian models of blood — power law, Quemada, and Carreau—Yasuda models — have been considered in the analysis. The haemodynamic effects of the restrictions on the axial velocity distribution, recirculation zones formed downstream to the restrictions, the wall shear stress, and the pressure drop in the artery have been analysed. The irreversible pressure loss coefficient is calculated from the pressure drop and its variation with the degree of stenosis is obtained.

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