title: A mathematical study of non-Newtonian blood flow through elastic arteries.
abstract: Existing models of blood flow through arteries are revisited. Non-Newtonian and viscous properties are also considered. Treating blood as a non-Newtonian, pseudoplastic fluid obeying the power law, the flow equations are rigorously derived, using the same principles applied in existing models. An appropriate and more physically and physiologically correct model is obtained. Another model in exponential form is also derived. The resulting equations are solved numerically for a range of parameters and the various graphs are compared.
authors.affiliation: Department of Applied Mathematics, University of Adelaide, South Australia.
authors.forename: J
authors.initials: J
authors.lastname: Mazumdar
authors.forename: K C
authors.initials: KC
authors.lastname: Ang
authors.forename: L L
authors.initials: LL
authors.lastname: Soh
mesh_terms: D001158:Arteries / Q000502:physiology*; D001783:Blood Flow Velocity; D004548:Elasticity; D006439:Hemodynamics / Q000502:physiology; D008955:Models, Cardiovascular; D012039:Regional Blood Flow; D013314:Stress, Mechanical; D014783:Viscosity