Non-isothermal flow of Sisko fluid in a stenotic tube induced via pulsatile pressure gradient and periodic body acceleration

Abstract

Abstract A theoretical study for pulsatile unsteady blood flow and heat transfer effects via tapered stenotic artery is presented. This study is based upon a non-Newtonian Sisko-fluid model. The order of magnitude analysis is executed for the derivation of momentum and energy equations for the mild constriction model. The coordinate transformation is utilized to transform the computational domain. A finite difference scheme is utilized for the solution of modeled non-linear partial differential equations. The computed results are exhibited in form of graphs for velocity, wall shear stress (WSS), resistive impendence, flow rate, and temperature for appropriate ranges of important physical parameters governing the flow, including the Sisko fluid material parameter 0.1 ≤ ϵ ≤ 1.5 , power-law index 0.7 ≤ n ≤ 1.5 , stenosis height 0 ≤ δ ≤ 0.4 , the amplitude of body acceleration 0 ≤ B 2 ≤ 2 , shape parameter 2 ≤ m ≤ 15 , Prandtl number 10 ≤ P r ≤ 20 , and Brinkman number 2 ≤ B r ≤ 6 . This investigation deduces that the flow rate and blood velocity rise with the escalation in the amplitude of body acceleration and shape parameter whereas both decrease by varying material parameter, power-law index, and stenosis height. The wall shear stress (WSS) rises with increasing the power-law index, material parameter, and stenosis height, whereas it decreases with the escalation in the amplitude of body acceleration and shape parameter. The resistive impedance increases with the increase of the size of stenosis and power-law index. The temperature field appears to dominate for smaller values of Prandtl number and larger values of Brinkman number.