Particulate suspension model for blood flow under external body acceleration

A mathematical model has been developed to investigate the influence of externally imposed periodic body acceleration on blood flow in aorta and arteriole. The rheological properties of blood has been represented by regarding the blood as a two-phase Newtonian fluid, that is, a suspension of cells in plasma. An exact analytical solution of coupled differential equations, describing the flow of a particle-fluid suspension, is obtained using the Laplace transforms technique. The effects of body acceleration and blood cells concentration on velocity, flow rate, acceleration and shear rates are computed and displayed graphically.