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Spatial Variations in Shear Stress in a 3-D Bifurcation Model at Low Reynolds Numbers

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Abstract

Real-time wall shear stress is difficult to monitor precisely because it varies in space and time. Microelectromechanical systems sensor provides high spatial resolution to resolve variations in shear stress in a 3-D bifurcation model for small-scaled hemodynamics. At low Reynolds numbers from 1.34 to 6.7 skin friction coefficients (Cf) varied circumferentially by a factor of two or more within the bifurcation. At a Reynolds number of 6.7, the Cf value at the lateral wall of the bifurcation along the 270∘ plane was 7.1, corresponding to a shear stress value of 0.0061 dyn/cm2. Along the 180∘ plane, Cf was 13 or 0.0079 dyn/cm2, and at the medial wall along the 90∘ plane, Cf was 10.3 or 0.0091 dyn/cm2. The experimental skin friction coefficients correlated with values derived from the Navier–Stokes solutions.

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Authors and Affiliations

  1. Department of Biomedical Engineering and Division of Cardiovascular Medicine, Viterbi School of Engineering and Keck School of Medicine, University of Southern California, Los Angeles, 90081, CA

    Mahsa Rouhanizadeh, Tiantian C. Lin & Tzung K. Hsiai

  2. Department of Mechanical and Aerospace Engineering, University of Southern California, Los Angeles, 90081, CA

    Diego Arcas

  3. Department of Molecular Pharmacology & Toxicology and the Atherosclerosis Research Unit, University of Southern California, Los Angeles, 90081, CA

    Juliana Hwang

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  1. Mahsa Rouhanizadeh
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  2. Tiantian C. Lin
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  3. Diego Arcas
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  4. Juliana Hwang
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  5. Tzung K. Hsiai
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Correspondence to Tzung K. Hsiai.

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Rouhanizadeh, M., Lin, T.C., Arcas, D. et al. Spatial Variations in Shear Stress in a 3-D Bifurcation Model at Low Reynolds Numbers. Ann Biomed Eng 33, 1360–1374 (2005). https://doi.org/10.1007/s10439-005-6542-9

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  • DOI: https://doi.org/10.1007/s10439-005-6542-9

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