Dynamic response of pulsatile flow of blood in a stenosed tapered artery

Subrata Mukhopadhyay; Mani Shankar Mandal; Swati Mukhopadhyay

doi:10.1002/mma.4874

Dynamic response of pulsatile flow of blood in a stenosed tapered artery

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4874 ◽

2018 ◽

Vol 41 (10) ◽

pp. 3885-3899 ◽

Cited By ~ 1

Author(s):

Subrata Mukhopadhyay ◽

Mani Shankar Mandal ◽

Swati Mukhopadhyay

Keyword(s):

Dynamic Response ◽

Pulsatile Flow ◽

Tapered Artery

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Nonlinear Dynamics of Dacron Aortic Prostheses Conveying Pulsatile Flow

Journal of Biomechanical Engineering ◽

10.1115/1.4039284 ◽

2018 ◽

Vol 140 (6) ◽

Cited By ~ 8

Author(s):

Eleonora Tubaldi ◽

Michael P. Païdoussis ◽

Marco Amabili

Keyword(s):

Physical Activity ◽

Blood Flow ◽

Dynamic Response ◽

Pulsatile Flow ◽

Orthotropic Shell ◽

Aortic Surgery ◽

High Heart Rate ◽

Lagrange Equations ◽

Higher Harmonics ◽

Pulsatile Pressure

This study addresses the dynamic response to pulsatile physiological blood flow and pressure of a woven Dacron graft currently used in thoracic aortic surgery. The model of the prosthesis assumes a cylindrical orthotropic shell described by means of nonlinear Novozhilov shell theory. The blood flow is modeled as Newtonian pulsatile flow, and unsteady viscous effects are included. Coupled fluid–structure Lagrange equations for open systems with wave propagation subject to pulsatile flow are applied. Physiological waveforms of blood pressure and velocity are approximated with the first eight harmonics of the corresponding Fourier series. Time responses of the prosthetic wall radial displacement are considered for two physiological conditions: at rest (60 bpm) and at high heart rate (180 bpm). While the response at 60 bpm reproduces the behavior of the pulsatile pressure, higher harmonics frequency contributions are observed at 180 bpm altering the shape of the time response. Frequency-responses show resonance peaks for heart rates between 130 bpm and 200 bpm due to higher harmonics of the pulsatile flow excitation. These resonant peaks correspond to unwanted high-frequency radial oscillations of the vessel wall that can compromise the long-term functioning of the prosthesis in case of significant physical activity. Thanks to this study, the dynamic response of Dacron prostheses to pulsatile flow can be understood as well as some possible complications in case of significant physical activity.

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NUMERICAL MODELING OF PULSATILE FLOW OF BLOOD THROUGH A STENOSED TAPERED ARTERY UNDER PERIODIC BODY ACCELERATION

Journal of Mechanics in Medicine and Biology ◽

10.1142/s0219519410003393 ◽

2010 ◽

Vol 10 (02) ◽

pp. 251-272 ◽

Cited By ~ 7

Author(s):

GAURAV VARSHNEY ◽

V. K. KATIYAR ◽

SUSHIL KUMAR

Keyword(s):

Pulsatile Flow ◽

Flow Characteristics ◽

Cylindrical Tube ◽

The Body ◽

Governing Equations ◽

Body Acceleration ◽

Tapered Artery ◽

Stenosis Severity ◽

Periodic Acceleration ◽

Newtonian Behavior

A mathematical model is developed for the pulsatile flow of blood through a stenosed tapered artery under the influence of externally imposed body acceleration. The artery is assumed as a cylindrical tube with time-dependent radius having mild stenosis and the non-Newtonian behavior of blood is characterized by generalized Power-law model. The governing equations are transformed by using a radial transformation and solved numerically by a suitable finite difference scheme in order to obtain the velocity, fluid acceleration, wall shear stress, and flow rate. The effect of stenosis severity, tapering, and externally imposed body acceleration on the blood flow in artery is discussed with the help of graph. It is found that all flow characteristics are affected by the stenosis severity, tapering, and periodic acceleration applied on the body.

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