Role of a structural parameter in modelling blood flow through a tapering channel

Abstract

An investigation of thixotropic parameter influence on blood flow in a stenosed tapered vessel has been carried out by means of analytical and numerical methods. We have studied how variation of a parameter in a range [0, 1], chosen following the evolution of transient shear, flows with time in this particular range and impacts the dynamics of an unsteady, non-Newtonian fluid flow. An approximation of a simpler dynamical system was approached with the help of a particular set of non-dimensional variables. Unique representations of axial velocity, shear stress and flow rate have been made such that their dependence on pressure gradient can be further analysed. Some factors that either impede the flow or help to accelerate it in a narrow channel in addition to varying yield stress and thixotropic parameter have been numerically investigated. The purpose of the current investigation is also to decide whether the particular model parameter regulates the dynamics of flow in a vessel differently from other known non-Newtonian models and what specific range or values of this parameter bring this model’s results to coincide with other models’ results