The Two-Phase Arterial Blood Flow with or without a Catheter and in the Presence of a Single or Multi Stenosis

We consider the problem of blood flow in an artery with or without a catheter and in the presence of single or multi stenosis whose shape is based on the available experimental data for the stenosis in a human's artery. The presence of stenosis in the artery, which locally narrows portion of the artery, can be a result of fatty materials such as cholesterol in the blood. The use of catheter is important as a standard tool for diagnosis and treatment in patience whose blood flow passage in the artery is affected adversely by the presence of the stenosis within the artery. The blood flow in the arterial tube is represented by a two-phase model composing a suspension of red cells in plasma. The governing equations for both fluid (plasma) and particles (red cells) are solved subject to reasonable modeling and approximations. The important quantities such as blood velocity, blood pressure gradient, impedance (blood flow resistance), wall shear stress and its surface integrated force are computed in the presence or absence of the catheter, and, in particular, effects of the stenosis, size of the catheter's radius and the hematocrit due to the red cells-plasma combination of the blood flow are determined.