A graphical user interface(GUI) of blood flow through tapered arteries with triple overlapping stenosis

Abstract

A mathematical model of a generalized Power law of blood flow through a tapered artery with three overlapping stenosis is visualized by using Graphical User Interface (GUI) in MATLAB. GUI is a program builds by applyrng the capabilities of computer graphic in making the program a lot easier to use. The flow model is considered to be two-dimensional, unsteady, laminar, incompressible and asymmetric. The continuity and momentum equations in terms of the viscous shear stress in the cylindrical coordinate system are first derived. Then, the governing equation and the boundary conditions are transformed rsing radial coordinate transformations before it solved numerically using finite difference scheme. Numerical results obtained show the effect of blood flow characteristics such as the axial and radial velocities, flow rate and wall shear stress at different tapered angle and time. Based on the result acquired, both axial and radial velocities increase as taper angle increase. However, the wall shear stress indicates the decrease in value as taper angle increase. In contrast, tlre radial velocity may increase or decrease depending on the time difference.