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Pulsatile flow of viscous and viscoelastic fluids in constricted tubes

Javadzadegan, A ; Sharif University of Technology | 2009

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-009-0713-9
  3. Publisher: 2009
  4. Abstract:
  5. The unsteady flow of blood through stenosed artery, driven by an oscillatory pressure gradient, is studied. An appropriate shape of the time-dependent stenoses which are overlapped in the realm of the formation of arterial narrowing is constructed mathematically. A msathematical model is developed by treating blood as a non-Newtonian fluid characterized by the Oldroyd-B and Cross models. A numerical scheme has been used to solve the unsteady nonlinear Navier-stokes equations in cylindrical coordinate system governing flow, assuming axial symmetry under laminar flow condition so that the problem effectively becomes two-dimensional. Finite difference technique was used to investigate the effects of parameters such as pulsatility, non-Newtonian properties and the flow time on the velocity components, the rate of flow, and the wall shear stress through their graphical representations quantitatively at the end of the paper in order to validate the applicability of the present improved mathematical model under consideration. © KSME & Springer 2009
  6. Keywords:
  7. Stenoses ; Axial symmetry ; Cross model ; Cylindrical coordinate systems ; Finite-difference techniques ; Flow-time ; Graphical representations ; Laminar flow conditions ; Non-Newtonian fluids ; Non-Newtonian property ; Numerical scheme ; Oldroyd-B ; Oldroyd-B model ; Oscillatory pressure gradients ; Pulsatility ; Stenosed arteries ; Velocity components ; Visco-elastic fluid ; Wall shear stress ; Blood ; Boundary layers ; Drop formation ; Fluid dynamics ; Graphic methods ; Hemodynamics ; Laminar flow ; Mathematical models ; Navier Stokes equations ; Nonlinear equations ; Pressure gradient ; Viscous flow ; Non Newtonian flow
  8. Source: Journal of Mechanical Science and Technology ; Volume 23, Issue 9 , 2009 , Pages 2456-2467 ; 1738494X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s12206-009-0713-9