title: A model for blood flow through a stenotic tube.
abstract: This article deals with the introduction of the modified Casson's fluid model as the true representation for the blood for the steady laminar flow through a small diameter artery with axi-symmetric identical double stenoses in series. The governing equations are solved by using the finite element method. The results for the velocity profiles, the pressure and the wall shear stress distributions in addition to the location and length of the flow reversal zones have been brought out and discussed in reference to the severity of the disease. It has been observed that the non-Newtonian nature of the blood helps in reducing the magnitude of the peak wall shear stress at the throat and the length of the reversed flow regions in the post stenotic dilatation.
authors.affiliation: Department of Mathematics, H.B.T.I., Kanpur, India.
authors.forename: P N
authors.initials: PN
authors.lastname: Tandon
authors.forename: U V
authors.initials: UV
authors.lastname: Rana
authors.forename: M
authors.initials: M
authors.lastname: Kawahara
authors.forename: V K
authors.initials: VK
authors.lastname: Katiyar
mesh_terms: D001157:Arterial Occlusive Diseases / Q000473:pathology / Q000503:physiopathology*; D001783:Blood Flow Velocity / Q000502:physiology; D001794:Blood Pressure / Q000502:physiology; D001809:Blood Viscosity / Q000502:physiology; D003251:Constriction, Pathologic / Q000473:pathology / Q000503:physiopathology; D006801:Humans; D008955:Models, Cardiovascular; D012039:Regional Blood Flow / Q000502:physiology; D012212:Rheology