Conference Publications
Permanent URI for this collection
Browse
Recent Submissions
1 - 5 of 5
-
PublicationNumerical simulation of non-newtonian blood flow through a tapered stenosed artery using the cross model(IOP Publishing Ltd., 2020)A Non-Newtonian model is used to examine the effect of tapering on the flow of blood along a stenosed artery which is caused by the pulsating nature the heart. The constitutive equation of the Cross model is used to capture the rheology of the streaming blood which accounts for the shear thinning behaviour of blood. The flow is considered to be laminar, incompressible, and axisymmetric. The finite- difference scheme was adopted to solve the non-linear equations describing the fluid motion in an unsteady two-dimensional case. The computation is presented in terms of the axial and radial velocities, volumetric flow rate, resistance to flow and the wall shear stress. The result from the numerical simulation clearly indicates that vessel tapering has considerable effect on the flow pattern of blood: as the tapering angle increases the flow rate and the axial velocity increases proportionately while the radial velocity, wall shear stress decreases and resistance to flow.
-
PublicationNumerical study of Magnetohydrodynamic blood flow through an artery with multiple stenosis(IOP Publishing Ltd., 2020)The study theoretically accounts for the impact of Magnetohydrodynamics on streaming blood through an artery having multiple stenosis regions using the non-Newtonian Cross-rheological model. It is regarded that the streaming blood is unsteady and pulsative. The use of appropriate conditions is predicated on the assumption that the flow is laminar and axisymmetric which makes the problem two-dimensional. The geometry of stenosis was immobilized into a rectangular grid using the radial coordinate transformation. The finite difference scheme was employed for the numerical simulations. Specifically, magnetic field (Hartmann number), Reynolds number and severity of stenosis were varied over the entire arterial length. The results obtained predicted that increase in the Hartmann number and stenosis severity reduces the magnitude of the flow velocity, flow rate but the reverse is the case when the Reynolds number is increased. However, the wall shear stress and the resistance to flow are aided by increasing the Hartman number and the stenosis severity but reduces with increase in the Reynolds number. Hence, it is germane to apply the appropriate magnetic field in treatments otherwise, such patient may be vulnerable.
-
-
-