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Computational fluid dynamics is presently being used as a means of enhancing our understanding of fluid flow in arteries and the associated wall forces. A variety of numerical techniques have been used. However, the finite element method (FEM) and the finite volume method (FVM) have emerged as the most common ones. This report consist of brief study of simulation of blood flow through deformable conduits such as arteries. Blood flow in arteries is dominated by unsteady flow phenomena. Under certain circumstances unusual biophysical conditions create an abnormal biological response. The relationship between flow in the arteries particularly the pressure pulses, the wall shear stress (WSS) distribution and the sites where diseases develop has motivated much research on arterial flow in the last decade.