Blood is a multiphase mixture of liquid plasma and solid blood cells. The primary objective of this thesis is to numerically model the motion... Show moreBlood is a multiphase mixture of liquid plasma and solid blood cells. The primary objective of this thesis is to numerically model the motion of red blood cells and platelets in blood vessels using kinetic theory based multiphase flow transport phenomena. Many experimental observations over the years have concluded that the concentration of platelets and red blood cells vary across the radius of the blood vessel. It has been shown that shear drives the platelets towards the wall, while the red blood cells move towards the center of the blood vessel. Other studies have observed that the platelet adhesion at the walls of the vessel is strongly dependent on the wall shear rate and the concentration of red blood cells. Platelet adhesion to the walls of the vessel has been explained by various shear induced diffusion models over the past few years. The diffusion models are heavily dependent on empirical relations which do not fully explain the phenomena behind the migration. In this study we postulate the dependence of red blood cell concentration on the migration of platelets using kinetic theory. The experimentally measured motion of platelets to the wall and red blood cells to the center is explained by unequal granular temperature kinetic theory. The migration of platelets in the presence of red blood cells is caused by the high granular pressure produced by the random oscillations of the red blood cells and the dissipation of platelet random energy at the walls. At the wall the shear has the highest value. This produces a high granular pressure and temperature which drive the red blood cells towards the center. An analytical solution for the platelet concentration was derived. M.S. in Chemical Engineering, July 2015 Show less