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<p>Recent numerical simulations of 3-D pipe flows using the modified Navier–Stokes formulation, enhanced with a finite viscous strength, have highlighted the crucial role of material instabilities in the onset of turbulence. In the present work, we use the viscous strength model to capture material instabilities that can affect aortic blood flow in the presence of local dilation. We perform 3-D numerical simulations of the pulsatile flow through a pipe with an axisymmetric bulge, which imitates the aneurysm dilation. The pulsatile flow conforms to the cardiac cycle. The simulation results show that the local dilation can significantly enhance wall shear stress, especially during the systolic phase. The material instabilities originated during the dilated region possibly lead to the formation of localized perturbations, which evolve into global turbulence.</p>

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Onset to turbulence in dilated aorta: a modified Navier–Stokes approach with viscous strength

  • 期刊论文

  • 发表日期：

    2026年1月12日

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  • Saptarshi Kumar Lahiri,
  • Konstantin Volokh

摘要

Recent numerical simulations of 3-D pipe flows using the modified Navier–Stokes formulation, enhanced with a finite viscous strength, have highlighted the crucial role of material instabilities in the onset of turbulence. In the present work, we use the viscous strength model to capture material instabilities that can affect aortic blood flow in the presence of local dilation. We perform 3-D numerical simulations of the pulsatile flow through a pipe with an axisymmetric bulge, which imitates the aneurysm dilation. The pulsatile flow conforms to the cardiac cycle. The simulation results show that the local dilation can significantly enhance wall shear stress, especially during the systolic phase. The material instabilities originated during the dilated region possibly lead to the formation of localized perturbations, which evolve into global turbulence.