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Determination of secondary flow morphologies by wavelet analysis in a curved artery model with physiological inflow

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Abstract

Secondary flow vortical patterns in arterial curvatures have the potential to affect several cardiovascular phenomena, e.g., progression of atherosclerosis by altering wall shear stresses, carotid atheromatous disease, thoracic aortic aneurysms and Marfan’s syndrome. Temporal characteristics of secondary flow structures vis-à-vis physiological (pulsatile) inflow waveform were explored by continuous wavelet transform (CWT) analysis of phase-locked, two-component, two-dimensional particle image velocimeter data. Measurements were made in a 180° curved artery test section upstream of the curvature and at the 90° cross-sectional plane. Streamwise, upstream flow rate measurements were analyzed using a one-dimensional antisymmetric wavelet. Cross-stream measurements at the 90° location of the curved artery revealed interesting multi-scale, multi-strength coherent secondary flow structures. An automated process for coherent structure detection and vortical feature quantification was applied to large ensembles of PIV data. Metrics such as the number of secondary flow structures, their sizes and strengths were generated at every discrete time instance of the physiological inflow waveform. An autonomous data post-processing method incorporating two-dimensional CWT for coherent structure detection was implemented. Loss of coherence in secondary flow structures during the systolic deceleration phase is observed in accordance with previous research. The algorithmic approach presented herein further elucidated the sensitivity and dependence of morphological changes in secondary flow structures on quasiperiodicity and magnitude of temporal gradients in physiological inflow conditions.

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Acknowledgments

The authors acknowledge NSF Grant CBET-0909678, funding from the GW Center for Biomimetics and Bioinspired Engineering (COBRE) and the developers of PIVMat 2.01. The authors also thank students, Mr. Christopher Popma, Ms. Shannon Callahan, Mr. Michael Leggiero and Mr. Roshan Sajjad for their assistance in the laboratory.

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Authors and Affiliations

  1. Biofluid Dynamics Laboratory, The George Washington University, Washington, DC, USA

    Kartik V. Bulusu & Shadman Hussain

  2. Department of Mechanical and Aerospace Engineering, The George Washington University, 801 22nd Street NW, Washington, DC, 20052, USA

    Michael W. Plesniak

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  1. Kartik V. Bulusu
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  2. Shadman Hussain
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  3. Michael W. Plesniak
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Correspondence to Michael W. Plesniak.

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Bulusu, K.V., Hussain, S. & Plesniak, M.W. Determination of secondary flow morphologies by wavelet analysis in a curved artery model with physiological inflow. Exp Fluids 55, 1832 (2014). https://doi.org/10.1007/s00348-014-1832-3

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  • DOI: https://doi.org/10.1007/s00348-014-1832-3

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