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

Ashis Kumar Roy and O. Anwar Bég

Applied Mathematics and Computation, 2021, vol. 410, issue C

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.

Keywords: Multiple scale analysis; Arterial stenosis; Damköhler number; Reaction; Casson viscoplastic model; Hemo-rheology; Axisymmetric flow; Péclet number (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321005749
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005749

DOI: 10.1016/j.amc.2021.126485

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().