Microcontinuum model for pulsatile blood flow through a stenosed tube.
The effects of polar nature of blood and pulsatility on flow through a stenosed tube have been analysed by assuming blood as a micropolar fluid. Linearized solutions of basic equations are obtained through consecutive applications of finite Hankel and Laplace transforms. The analytical expressions for axial and particle angular velocities, wall shear stress, resistance to flow and apparent viscosity have been obtained. The axial velocity profiles for Newtonian and micropolar fluids have been compared. The interesting observation of this analysis is velocity, in certain parts of cycle, for micropolar fluid is higher than Newtonain fluid. Variation of apparent viscosity eta a with tube radius shows both inverse Fahraeus-Lindqvist and Fahraeus-Lindqvist effects. Finally, the resistance to flow and wall shear stress for normal and diseased blood have been computed and compared.
Chaturani
P
P
Department of Mathematics, Indian Institute of Technology, Powai, Bombay.
Palanisamy
V
V
D001157:Arterial Occlusive Diseases / Q000503:physiopathology*; D001775:Blood Circulation / Q000502:physiology*; D001783:Blood Flow Velocity / Q000502:physiology*; D001809:Blood Viscosity; D003251:Constriction, Pathologic / Q000503:physiopathology; D006801:Humans; D008433:Mathematics; D008955:Models, Cardiovascular; D011673:Pulsatile Flow; D012212:Rheology