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

Roy, AK; Beg, OA

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 (Casson’s 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 first-order chemical reaction on the arterial boundary in
multiple irregular stenosed arterial geometries. Multiple scale solutions of the nondimensional 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.

Citation

Roy, A., & Beg, O. (2021). Asymptotic study of unsteady mass transfer through a rigid artery with multiple irregular stenoses. Applied Mathematics and Computation, 410, 126485. https://doi.org/10.1016/j.amc.2021.126485

• Journal Article Type: Article
• Acceptance Date: Jun 26, 2021
• Online Publication Date: Jul 11, 2021
• Publication Date: Dec 1, 2021
• Deposit Date: Jun 29, 2021
• Publicly Available Date: Jul 11, 2022
• Journal: Applied Mathematics and Computation
• Print ISSN: 0096-3003
• Publisher: Elsevier
• Volume: 410
• Pages: 126485
• DOI: https://doi.org/10.1016/j.amc.2021.126485
• Publisher URL: https://doi.org/10.1016/j.amc.2021.126485
• Related Public URLs: http://www.journals.elsevier.com/applied-mathematics-and-computation/