AN INVESTIGATION OF THE EFFECTS OF STENOSIS AND REYNOLDS NUMBER ON BLOOD FLOW: A THEORETICAL STUDY

It is well known that the presence of stenosis in the artery is highly responsible for the changes of flow characteristics. Nevertheless, the dimensionless numbers especially the Reynolds number seems to play a pivotal rule in the change of flow characteristics. Therefore, a sophisticated blood flow model is required for sound explanation of the impacts of atherosclerosis and dimensionless numbers on flow properties. The objective of this study is to develop a mathematical model by combining the effects of stenosis and Reynolds number on blood flow properties considering blood as Casson’s fluid. The effect of stenosis height, Reynolds number, stenosis length and yield stress on the flow characteristics such as flow resistance, flow rate, pressure drop, skin-friction and axial velocity have been analyzed. We have found that the increment of stenosis height and length, and the diminution of Reynolds number are liable for the augmentation of resistance of flow. It has also been obtained that the flow rate and skin-friction are influenced by stenosis height. The results have been derived followed by the algorithm, developed numerically using MATLAB programming language. The graphical representations with suitable parameters have also been shown in the study for the better understanding.