A Mathematical Model for Blood Flow Accounting for the Hematological Disorders

Abstract This paper considers a mathematical model that accounts for the hematological disorders of blood in its flow human arteries. Blood is described as Newtonian fluid but with viscosity function hematocrit, plasma viscosity, and shape factor red cells. The artery modeled flexible circular pipe oscillatory. solved using HAM (Homotopy Analysis Method), an approximate analytical method, we computed expressions wall shear stress (WSS) volumetric rate. With help publicly available data, femoral male female populations aged 19 to 60 above years simulated healthy, anemia, polycythemia cases. projected significant difference mean rates conditions mentioned above. Results also indicated WSS healthy anemic are not significantly different. However, has been observed polycythemic conditions. Furthermore, 33.3% decrease hematocrit value from normal range (taken 0.45) population increased rate by 33.5%. For 0.45, there 42.7%