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Related Concept Videos

Applications of Integration to Find Blood Flow01:27

Applications of Integration to Find Blood Flow

Blood flow through a cylindrical blood vessel can be mathematically described using the principles of laminar flow, a regime in which fluid moves smoothly in parallel layers. In this model, the velocity of the blood is not uniform across the cross-section of the vessel; rather, it varies with the radial distance from the center. The maximum velocity occurs along the central axis, decreasing progressively toward the vessel walls, where it reaches zero due to viscous drag.Approximating Blood...
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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
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Bernoulli's Equation for Flow Along a Streamline01:30

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Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
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Blood Flow

Blood is pumped by the heart into the aorta, the largest artery in the body, and then into increasingly smaller arteries, arterioles, and capillaries. The velocity of blood flow decreases with increased cross-sectional blood vessel area. As blood returns to the heart through venules and veins, its velocity increases. The movement of blood is encouraged by smooth muscle in the vessel walls, the movement of skeletal muscle surrounding the vessels, and one-way valves that prevent backflow.

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Meso-Scale Particle Image Velocimetry Studies of Neurovascular Flows In Vitro
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Large-Eddy simulation of pulsatile blood flow.

Manosh C Paul1, Md Mamun Molla, Giles Roditi

  • 1Department of Mechanical Engineering, University of Glasgow, Glasgow G12 8QQ, UK. m.paul@mech.gla.ac.uk

Medical Engineering & Physics
|June 20, 2008
PubMed
Summary

Large-Eddy Simulation (LES) reveals how turbulent blood flow develops after arterial stenosis. Recirculation and complex flow patterns significantly contribute to turbulence, impacting cardiovascular health.

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Area of Science:

  • Fluid Dynamics
  • Biomedical Engineering
  • Computational Science

Background:

  • Arterial stenosis significantly alters blood flow dynamics.
  • Understanding pulsatile flow in stenotic arteries is crucial for diagnosing and treating cardiovascular diseases.
  • Previous models often simplified the complex transitional flow phenomena.

Purpose of the Study:

  • To investigate the transition to turbulence in non-additive pulsatile blood flow downstream of a 3D arterial stenosis model.
  • To analyze the flow physics, including velocity, pressure, vortices, and shear stress.
  • To assess the efficacy of Large-Eddy Simulation (LES) in modeling such complex flows.

Main Methods:

  • Large-Eddy Simulation (LES) of pulsatile blood flow in a 3D channel model with a biologically relevant stenosis.
  • Utilizing a sinusoidal non-additive pulsation at the inlet with a Reynolds number of 1200.
  • Detailed analysis of flow recirculation, turbulent fluctuations, and sub-grid scale contributions.

Main Results:

  • High levels of flow recirculation downstream of the stenosis were observed.
  • Complex transient blood flow patterns were identified as key contributors to turbulent fluctuations.
  • LES accurately predicted sub-grid scale contributions, validating its use in pulsatile flow modeling.
  • Detailed flow physics, including velocity, pressure, vortices, shear stress, and energy spectra, were elucidated.

Conclusions:

  • Flow recirculation and transient patterns are critical in generating post-stenosis turbulence.
  • Large-Eddy Simulation is a valuable tool for accurately modeling pulsatile blood flow in stenotic arteries.
  • The findings provide insights into the pathophysiology of blood flow alterations in stenosis.