T. S. L. Radhika

Department of Mathematics, BITS Pilani Hyderabad Campus, Hyderabad-500078, India, Email:radhikatsl@hyderabad.bits-pilani.ac.in

Received in final form on September 13, 2021

Abstract
In the human circulatory system, blood may change its characteristics from Newtonian to non-Newtonian in its flow through various arteries. These arteries are either elastic, like Aorta, muscular such as the radial artery or rigid like arterioles. The present article applies the concept of fluid flow in pipelines to this blood flow problem. A mathematical model has been developed considering a two-component pipe describing two arteries. These components are assumed elastic, with the fluid (blood) flowing through them, modelled as a Newtonian fluid in the first component pipe and non-Newtonian in the second. Under the assumption that outflow from the first component pipe equals the inflow in the second, a methodology for obtaining the fluid velocity has been described.

Keywords
Mathematical model, Blood flow, Network of pipes

Cite This Article
T. S. L. Radhika, A Model for Fluid Flow in a Network of Pipes with Special Reference to Blood Flow in Arteries, J. Innovation Sciences and Sustainable Technologies,1(4)(2021), 325-340. https://doie.org/10.0608/JISST.2022783466

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