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Asymptotic study of unsteady mass transfer through a rigid artery with multiple irregular stenoses

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  • Roy, Ashis Kumar
  • Bég, O. Anwar

Abstract

The present article examines the transport of species in streaming blood through a rigid artery in the presence of multi-irregular stenosis. The carrier fluid i.e., blood is assumed to be non-Newtonian fluid (Cassons viscoplastic model is used) and the arterial wall is considered to be rigid. A robust model is developed for non-Newtonian flow and hydrodynamic dispersion with the first-order chemical reaction on the arterial boundary in multiple irregular stenosed arterial geometries. Multiple scale solutions of the non dimensional boundary value problem are presented. Asymptotic expressions are developed for velocity and shear stress. Extensive visualization of velocity, concentration, and other flow characteristics is included for various stenotic scenarios, Péclet numbers, and Damköhler numbers. Significant modification in hemodynamic characteristics is computed with viscoplasticity. Mean concentration is also dramatically modified with yield stress and Péclet and Damköhler numbers. The study is relevant to arterial disease simulation.

Suggested Citation

  • Roy, Ashis Kumar & Bég, O. Anwar, 2021. "Asymptotic study of unsteady mass transfer through a rigid artery with multiple irregular stenoses," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005749
    DOI: 10.1016/j.amc.2021.126485
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    References listed on IDEAS

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    1. Unknown, 1973. "Reviews in Brief," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 28(1), pages 1-8.
    2. J. Venkatesan & D. S. Sankar & K. Hemalatha & Yazariah Yatim, 2013. "Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    3. Ankita Dubey & B. Vasu & O. Anwar Bég & Rama S. R. Gorla & Ali Kadir, 2020. "Computational fluid dynamic simulation of two-fluid non-Newtonian nanohemodynamics through a diseased artery with a stenosis and aneurysm," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 23(8), pages 345-371, June.
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