Renal Arteries: Validation with in vitro data


A validation study was carried out using a flow through phantom of a renal artery. Even though the shape of the model is idealized, it was constructed with dimensions taken from magnetic resonance angiography images of a patient with renal artery stenosis. Pressure transducers were used to measure the pressure drop across the renal stenosis.
 

Views of the glass phantom and its cross-sections


The geometrical model was reconstructed from a CT scan of the glass phantom. The reconstructed diameters at the stenosis closely match direct measurements on the glass model. Since the flow becomes turbulent, a boundary layer or Navier-Stokes mesh was generated and the grid resolution was increased in the region distal of the stenosis. Pulsatile flow conditions that resemble the flow waveforms measured in vivo using phase-contrast magnetic resonance images were produced by a pulsatile pump. Flows waveforms were measured and used to impose boundary conditions in the numerical model.
 

Reconstructed geometrical model and flow waveforms used to impose boundary conditions


A series of steady flow runs were performed and the computed pressure drops were compared to direct measurements under the same flow conditions. In these cases the CFD model tends to yield higher values of the pressure drops. In addition, a pulsatile experiment was conducted and numerically modeled. The computed and measured pressure drops were in very good agreement.
 

Computer and measured pressure drops: steady conditions, pulsatile conditions

A visualization of the pressure dristribution shows that a significant pressure drop occurrs at the renal stenosis.


Pressure distribution under steady flow conditions

The following visualizations using streamlines colored according to the local flow velocity magnitude show the complex flow structure distal of the stenosis.

 
Flow visualization using streamlines colored with velocity magnitude