a.k gupta - Department of Applied Mathematics, Greater Noida Institute of Technology, Plot No. ۷, Knowledge Park II, Greater Noida GB Nagar UP, India- ۲۰۱۳۰۶

In this investigation, a two-fluid model consisting of a core region of suspension of all the erythrocytes (particles) in plasma (fluid) assumed to be a particle-fluid mixture and aperipheral layer of cell-free plasma (Newtonian fluid), has been proposed to represent blood flow in small diameter tubes with magnetic effects . The analytical results obtained in the proposed model for effective viscosity, velocity profiles and flow rate have been evaluated numerically for various valuesof the parameters. Quantitative comparison depicted that present model represents blood flow at hematocrit (≤ 40%) and in vessels up to 70μm in diameter. Using experimental values of the parameters, the flow rate for normal and diseased blood has been computed and compared withcorresponding values obtained from a well known experimentally tested model in the literature. The effects of a magnetic field have been used to control the flow, which may be useful in certain hypertension cases, etc.

Blood flow; plasma; erythrocyte; hematocrit; hartmann number; hypertension