Unsteady two-layered blood flow through a w-shape stenosed artery using the generalized oldroyd-b fluid model

Ali, N; Zaman, A; Beg, OA; Sajid, M

Abstract

A theoretical study of unsteady two-layered blood flow through a stenosed artery is presented in this article. The geometry of rigid stenosed artery is assumed to be w-shaped. The flow regime is assumed to be laminar, unsteady and uni-directional. The characteristics of blood are modeled by the generalized Oldroyd-B non-Newtonian fluid model in the core region and a Newtonian fluid in the periphery region. The governing partial differential are derived for each region by using mass and momentum conservation equations. In order to facilitate numerical solutions, the derived differential equations are non-dimensionalized. A well-tested explicit finite difference scheme (FDM) which is forward in time and central in space is employed for the solution of nonlinear initial-boundary value problem corresponding to each region. Validation of the FDM computations is achieved with a variational finite element method (FEM) algorithm. The influence of the emerging geometric and rheological parameters on axial velocity, resistance impedance and wall shear stress are displayed graphically. The instantaneous patterns of streamlines are also presented to illustrate the global behavior of blood flow. The simulations are relevant to hemodynamics of small blood vessels and capillary transport wherein rheological effects are dominant.

Citation

Ali, N., Zaman, A., Beg, O., & Sajid, M. (2016). Unsteady two-layered blood flow through a w-shape stenosed artery using the generalized oldroyd-b fluid model. ANZIAM Journal, 58(1), 96-118. https://doi.org/10.1017/S1446181116000134

• Journal Article Type: Article
• Acceptance Date: Jan 20, 2016
• Online Publication Date: Jul 21, 2016
• Publication Date: Jul 21, 2016
• Deposit Date: Nov 2, 2016
• Publicly Available Date: Apr 29, 2019
• Journal: The ANZIAM Journal
• Print ISSN: 1446-1811
• Electronic ISSN: 1446-8735
• Publisher: Cambridge University Press (CUP)
• Volume: 58
• Issue: 1
• Pages: 96-118
• DOI: https://doi.org/10.1017/S1446181116000134
• Publisher URL: http://dx.doi.org/10.1017/S1446181116000134
• Additional Information: Funders : Higher Education Commission (HEC) PAKISTAN