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ABSTRACT
The influence of the degree of residual stenosis on the hemodynamics inside coronary arteries is investigated through three-dimensional (3D) numerical simulations. The present paper, which is the first of a series of two, focuses on the influence that the degree of residual stenosis (DOR) has on the fluid dynamics and the shear stresses acting on the stent and the artery wall. The pulsatile nature of the blood flow and its non-Newtonian features are taken into account. Four models of artery are investigated. The results show that the wall shear stress (WSS) increases monotonically, but not linearly, with the DOR.
Nomenclature
| Latin | = | |
| DOR | = | degree of restenosis |
| j | = | imaginary unit |
| Jo | = | zeroth-order Bessel function |
| J1 | = | first-order Bessel function |
| N | = | number of harmonics |
| p | = | static pressure, Pa |
| ℜ() | = | real part of a complex number |
| Rmax | = | maximum radius, m |
| Rmin | = | minimum radius, m |
| Re | = | Reynolds number |
| [S] | = | rate of the strain tensor, s−1 |
| Un | = | Fourier coefficients of the pulsatile mean velocity profile |
| = | fluid velocity, m/s | |
| WSS | = | wall shear stress, dyne/cm2 |
| αn | = | Womersley numbers of order n |
| = | shear rate, s−1 | |
| ρ | = | density, kg/m3 |
| ξ = r/R | = | dimensionless radial coordinate |
Nomenclature
| Latin | = | |
| DOR | = | degree of restenosis |
| j | = | imaginary unit |
| Jo | = | zeroth-order Bessel function |
| J1 | = | first-order Bessel function |
| N | = | number of harmonics |
| p | = | static pressure, Pa |
| ℜ() | = | real part of a complex number |
| Rmax | = | maximum radius, m |
| Rmin | = | minimum radius, m |
| Re | = | Reynolds number |
| [S] | = | rate of the strain tensor, s−1 |
| Un | = | Fourier coefficients of the pulsatile mean velocity profile |
| = | fluid velocity, m/s | |
| WSS | = | wall shear stress, dyne/cm2 |
| αn | = | Womersley numbers of order n |
| = | shear rate, s−1 | |
| ρ | = | density, kg/m3 |
| ξ = r/R | = | dimensionless radial coordinate |
Acknowledgments
The authors thank Dr. Leon Williams of Cranfield University for the support given with SolidWorks.