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Technical Briefs

Modeling Transition to Turbulence in Eccentric Stenotic Flows

[+] Author and Article Information
Sonu S. Varghese, Steven H. Frankel

School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907

Paul F. Fischer

 Argonne National Laboratories, Argonne, IL 60439

J Biomech Eng 130(1), 014503 (Feb 14, 2008) (7 pages) doi:10.1115/1.2800832 History: Received June 18, 2006; Revised March 28, 2007; Published February 14, 2008

Mean flow predictions obtained from a host of turbulence models were found to be in poor agreement with recent direct numerical simulation results for turbulent flow distal to an idealized eccentric stenosis. Many of the widely used turbulence models, including a large eddy simulation model, were unable to accurately capture the poststenotic transition to turbulence. The results suggest that efforts toward developing more accurate turbulence models for low-Reynolds number, separated transitional flows are necessary before such models can be used confidently under hemodynamic conditions where turbulence may develop.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Side and front views of the stenosis geometry (L=2D), the solid line corresponding to the profile of the axisymmetric model and the dashed line to the eccentric model; x is the streamwise direction while y and z are the cross-stream directions. The front view shows the cross section corresponding to both models in the main vessel and at the throat, x=0.0.

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Figure 2

Normalized streamwise velocity profiles, u∕uin, predicted by the two-equation turbulence models for steady flow through the eccentric stenosis. Corresponding DNS results are also shown. (a) Low-Reynolds number k‐ω model, (b) low-Reynolds number RNG k‐ϵ model, and (c) realizable k‐ϵ model.

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Figure 3

Normalized turbulent kinetic energy profiles, k∕uin2, predicted by the two-equation turbulence models for steady flow through the eccentric stenosis. Corresponding DNS results are also shown. (a) Low-Reynolds number k‐ω model, (b) low-Reynolds number RNG k‐ϵ model, and (c) realizable k‐ϵ model.

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Figure 4

Time-averaged vorticity magnitude contours for steady flow through the eccentric stenosis model at Re=1000. (a) DNS and (b) SST model. Levels have been normalized by uin∕D.

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Figure 5

Comparison of the RSM with DNS for steady flow through the eccentric stenosis. (a) Streamwise velocity profiles, normalized by mean inlet velocity, and (b) turbulent kinetic energy profiles, normalized by squared mean inlet velocity.

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Figure 6

Instantaneous vorticity magnitude contours for steady flow through the eccentric stenosis model at Re=1000. (a) DNS (≈5.4×106 grid points) and (b) FLUENT LES (≈700,00 finite volume cells). Vorticity levels have been normalized by uin∕D.

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