Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 27548476.
- Also identified by DOI 10.1371/journal.pone.0161377 and PMC identifier 4993475.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
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.
Medical subject headings
- Algorithms
- Blood Flow Velocity
- Coronary Vessels
- Femoral Artery
- Models, Cardiovascular
- Vascular Access Devices