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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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Three pieces of software are utilized in this study. The software SOLIDWORKS 2010<br />

(Concorde, Massachusetts, USA) is used to create an idealized 3D aortic dissection<br />

model, which is based on a contrast-enhanced Computerized Tomography (CT) scan<br />

image of a patient. Clinically, the size (diameter) of the dissected aorta can serve as an<br />

indicator in the decision for medical treatment [12]. It is the greatest dimension of the<br />

swollen part of the dissected aorta (see Fig.1). To assess the effect of this factor<br />

quantitatively, five dissection models with different diameters (L as defined in Fig. 1a =<br />

40, 50, 60, 70, and 80 mm) are investigated. The two channels, namely the true and<br />

false lumens, are separated by the intimal flap, which is treated as a rigid wall with<br />

negligible thickness. For the next stage of the analysis, the software GAMBIT 2.4.6<br />

(developed by FLUENT) is adopted for mesh generation and mesh quality control.<br />

Finally, the FLUENT 6.3.26 (ANSYS, Canonsburg, Pennsylvania, USA) will carry out<br />

the task for blood flow simulations.<br />

Fig. 1 False lumen with partial thrombosis: (a) planar view; (b) three dimensional view<br />

3.2 Fluid properties<br />

In the present simulations, blood behaves as an incompressible and Newtonian fluid,<br />

this assumption is reasonable when blood flows in large arteries [13]. The density and<br />

dynamic viscosity of blood are taken as 1060 kg m -3 and 0.0035 kg m -1 s -1 respectively.<br />

The effects of red blood cells and platelets can be ignored, because the diameters of red<br />

blood cells (7.6 m) and platelets (2.5 m) [14] are sufficiently small as compared to<br />

the size of the aorta (40-80 mm).<br />

3.3 Governing equations<br />

The governing principles of the motion of a 3D fluid are the conservation laws of mass<br />

and momentum, i.e. the continuity and Navier-Stokes equations<br />

ui<br />

ui<br />

ui<br />

1 p<br />

1 <br />

ij<br />

0 and u j <br />

(1)<br />

x<br />

t<br />

x<br />

x<br />

x<br />

i<br />

j<br />

i<br />

j<br />

where = fluid density; ui (i = 1, 2, 3) = components of the velocity vector; ij = normal<br />

and shear stresses; and p = pressure. These equations can be iteratively solved using the<br />

unsteady solver of the FLUENT. The time step size is taken as 0.005s. To ensure better<br />

convergence of each time step, the residual error is set as 10 -6 . Tetrahedral / hybrid<br />

elements and T-grids mesh are used for computation, and the spatial grid size of the<br />

mesh is 1.5 mm.<br />

3.4 Boundary conditions<br />

The pulsatile velocity waveform (Fig. 2a) mimics a realistic patient condition and it<br />

contains a maximum value of 0.186 m s -1 ; a minimum value of -0.0336 m s -1 ; and a

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