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Pulsatile Oldroyd-B blood flow dynamics in a stenosed artery

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Abstract

The viscoelastic nature of blood flow through 25% size of stenosis is investigated numerically using Comsol-Multiphysics 5.4. The flow geometry of the stenosed artery is modeled by asymmetric 2D channel with a rigid wall. Blood is characterized as a mixture of Newtonian and viscoelastic fluid. The coupled nonlinear Navier–Stokes equation and the Oldroyd-B models equations are solved numerically in General PDE solver. The governing equations are discretized using the finite element method for the two-dimensional flow to estimate the velocity and pressure distribution. The effect of the velocity field, pressure distribution, and wall shear stress is reported for the Newtonian model and the viscoelastic Oldroyd-B model. The deviation of fluid behavior from the Newtonian fluids is compared to the practical blood behavior. The effects of Weissenberg number (Wi) over velocity field and wall shear stress have tested for moderate Reynolds numbers. The Oldroyd-B model showed quite reliable blood behavior when compared to existing literature values.

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Acknowledgements

We thank the Science and Engineering Research Board (SERB), of the Department of Science and Technology, for Financial assistance from DST, India, through the grant SR/FST/BVRIT(NSP)/2014.

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Authors and Affiliations

  1. Department of Pharmaceutical Engineering, B.V. Raju Institute of Technology, Narsapur, Medak, 502313, India

    N. Nanda Kumar

  2. Department of Chemical Engineering, B.V. Raju Institute of Technology, Narsapur, Medak, 502313, India

    B. V. S. Praveen

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  1. N. Nanda Kumar
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  2. B. V. S. Praveen
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Correspondence to B. V. S. Praveen.

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Kumar, N.N., Praveen, B.V.S. Pulsatile Oldroyd-B blood flow dynamics in a stenosed artery. Int J Adv Eng Sci Appl Math 12, 233–241 (2020). https://doi.org/10.1007/s12572-020-00278-2

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