Communications in Information and Systems

Volume 23 (2023)

Number 3

Special issue dedicated Professor Avner Friedman in celebration of his 90th birthday

Guest Editors: Jong-Shenq Guo, Bei Hu, Robert Jensen, and Stephen S.-T. Yau

Flow of an incompressible nonlinear bipolar viscous fluid in a sinusoidally constricted channel

Pages: 325 – 358

DOI: https://dx.doi.org/10.4310/CIS.2023.v23.n3.a5

Authors

Allen Montz

Hamid Bellout (Northern Illinois University, DeKalb, Il., U.S.A.)

Frederick Bloom

Abstract

We seek to analyse blood flow in stenosed vessels within the framework of Non-Newtonian fluids. We analyse the model and seek to highlight the effects of physical parameters on the nature of the flow. Our main goal was to understand the effects of the physical parameters on the qualitative behavior of the flow. We introduce and use approximate solutions as they provide more insight in the qualitative behavior of the flow than blunt numerical resolution for a particular value of the parameters. Some numerical simulations are also provided.

Received 26 November 2022

Published 12 October 2023