Two-Phase Blood Flow and Heat Transfer in an Inclined Stenosed Artery with or without a Catheter

We investigate the problem of blood flow and heat transfer in an inclined artery with or without a catheter and in the presence of stenosis in the artery whose shape is based on the available experimental data. The presence of stenosis that locally thickens the artery wall is a result of fatty materials such as cholesterol. The use of catheter is important as a standard tool for diagnosis and treatment in patience whose artery is affected adversely by the presence of atherosclerosis within the artery. The blood flow in the arterial tube is represented by a two-phase model composing a suspension of erythrocytes (red cells) in plasma. The coupled differential equations for both fluid (plasma) and particles (red cells) are solved theoretically subjected to reasonable modeling and approximations. The important quantities such as blood pressure force, impedance (blood flow resistance), blood temperature and the heat flux on the artery are computed in the presence or absence of the catheter, and in the presence of the axially located stenosis, gravity and the hematocrit due the red cells-plasma combination of the blood flow.