Modelling of blood flow as extended korteweg-de vries and extended korteweg-de vries burgers equation

Abstract

Blood is made of four components which are plasma, red blood cells, white blood cells and platelets. Many researchers have considered blood as an ideal fluid and the artery as an elastic tube. Due to complexity of blood deformation, a mathematical description of blood itself has not yet been completely formulated. In this research, we shall consider blood flow in an elastic artery. Our main focus is to model blood flow as KdV and KdVB type equations by using the governing equations and asymptotic series method. Specifically these equations are called the extended KdV (eKdV) and the extended KdVB (eKdVB). The hyperbolic tangent method is used in order to obtain the progressive wave solutions. It is found that for extended KdV equation, when there is no tapering(0)a=, the blood flow follows the KdV model.