Blood Flow in a Coronary Bifurcation, Paper Numerical Validation, ANSYS Fluent

$300.00 Student Discount

In this project, The effects of non-Newtonian blood, compliant walls, and different bifurcation angles on hemodynamic flow characteristics were evaluated, and the results of this simulation have been investigated.

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Blood Flow in a Coronary Bifurcation Introduction

The paper “Numerical investigation of blood flow in a deformable coronary bifurcation and non-planar branch” numerically investigates the pulsatile flow of blood in a coronary bifurcation with a non-planar branch. The wall is assumed to be compliant to create a more realistic analysis.

Identification and assessment of hemodynamic characteristics and other flow properties impact the behavior and prevention of cardiovascular diseases. Stenosis is highly dependent on the local hemodynamic characteristics of blood flow. Since coronary artery diseases are associated with a high mortality and morbidity rate, the hemodynamic characteristics of blood flow demand more attention.

For this purpose, The effects of wall compliance and non-Newtonian rheology of blood on flow characteristics have been simulated using Ansys Fluent software.

Blood Flow in a Deformable Coronary Bifurcation Description

The effects of non-Newtonian blood, compliant walls, and different bifurcation angles on hemodynamic flow characteristics were evaluated. Shear-thinning of blood was simulated with the Carreau-Yasuda model. The current research was mainly focused on the flow characteristics in bifurcations since atherosclerosis occurs mainly in bifurcations. Moreover, as the areas with low shear stresses are prone to stenosis, these areas were identified.

The pulsative velocity of blood at the inlet face is presented in the following figure, while the suitable equation of motion is derivate using MATLAB software and applied in the Fluent by an appropriate UDF.

Blood Flow Geometry & Mesh

Firstly, The geometry of the solution is designed using Gambit software.

Blood Flow

For meshing, the following factors are used:

Start size = 0.25

Growth rate = 1.25

Max. size = 0.5

The number of the elements is precisely 397388:

Blood Flow

Blood Flow in a Deformable Coronary Bifurcation CFD Simulation

We consider several assumptions to simulate the present model:

  • We perform a pressure-based solver.
  • The energy equation is off.
  • The present model is unsteady.
  • The effect of gravity is considered.

The following table represents a summary of the defining steps of the problem and its solution:


Material Properties
Name Blood
density 1050
viscosity Carreau model


Boundary Condition
Type Amount (units)
Outlet1 gauge pressure = 0 pa
Outlet2 gauge pressure = 0 pa
Vessel-wall No-slip
inlet UDF inlet velocity


Energy    off
Turbulence models
 viscous model laminar


Dynamic Mesh
Mesh Methods    Smoothing
Method Linearly Elastic Solid
Vessel Wall Deforming
Solution methods
SIMPLE pressure velocity coupling
Second-order upwind pressure spatial discretization
Second-order upwind momentum
Hybrid initialization initialization method
Run calculation
Number of Time Steps 35
Time Step Size 0.01
Max Iterations 200

Results & Discussion

To validate the present numerical simulation results, the diagram in Figure 6 of the article has been used. This diagram shows the wall shear of the walls of Coronary. The X-direction of the diagram shows the distance from the bifurcation. Boundaries of the model. The amount of presented wall shear stress was obtained along Line 3, found in Figure 1 of the article.

A comparison of the results of the current numerical simulation with the results of the numerical work of the article is shown in the image album.


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