title: Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery.
abstract: The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is modeled as a rigid tube of very small radius. The resulting differential system for velocity in each region is computed numerically by finite-difference scheme and analytically by Laplace transform. A comparison of numerical solution with Laplace transform solution is carried out. Various physical quantities of interest through the computed velocity are also analyzed.
authors.affiliation: Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, 44000, Pakistan.
authors.forename: Akbar
authors.initials: A
authors.lastname: Zaman
authors.affiliation: Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, 44000, Pakistan.
authors.forename: Nasir
authors.initials: N
authors.lastname: Ali
authors.affiliation: Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, 44000, Pakistan.
authors.forename: M
authors.initials: M
authors.lastname: Sajid
authors.affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, 4400, Pakistan.|Nonlinear Analysis and applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia.
authors.forename: Tasawar
authors.initials: T
authors.lastname: Hayat
mesh_terms: D000465:Algorithms; D001160:Arterioles / Q000033:anatomy & histology / Q000502:physiology; D001783:Blood Flow Velocity / Q000502:physiology*; D001809:Blood Viscosity; D002196:Capillaries / Q000033:anatomy & histology / Q000502:physiology; D003198:Computer Simulation; D003331:Coronary Vessels / Q000033:anatomy & histology / Q000502:physiology*; D005263:Femoral Artery / Q000033:anatomy & histology / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D011673:Pulsatile Flow; D062666:Vascular Access Devices