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1.
Math Biosci Eng ; 19(9): 9550-9570, 2022 07 01.
Article in English | MEDLINE | ID: mdl-35942772

ABSTRACT

This paper proposes a novel mathematical model of non-Newtonian blood flow and heat transfer in the human coronary system with an external magnetic field. As the blood viscosity is assumed to depend not only on shear rate but also on temperature and magnet strength, the modified Carreau-Yasuda viscosity model is formulated. The computational domain includes the base of the aorta, the right coronary artery, and the left coronary artery, with the left circumflex and left anterior descending arteries. The element-based finite volume method is derived for the solution of the proposed model. Numerical simulations are carried out to investigate the magnetic field effect on the blood flow-heat transfer characteristic in the human coronary system. It is found that the magnetic field has a significant impact on fluid viscosity, leading to enhanced fluid velocity.


Subject(s)
Hemodynamics , Hot Temperature , Blood Flow Velocity/physiology , Blood Viscosity/physiology , Computer Simulation , Coronary Vessels/physiology , Humans , Magnetic Fields , Models, Cardiovascular , Stress, Mechanical
2.
Math Biosci Eng ; 9(1): 199-214, 2012 Jan 01.
Article in English | MEDLINE | ID: mdl-22229404

ABSTRACT

In this work, we investigate the behavior of the pulsatile blood flow in the system of human coronary arteries. Blood is modeled as an incompressible non-Newtonian fluid. The transient phenomena of blood flow through the coronary system are simulated by solving the three dimensional unsteady state Navier-Stokes equations and continuity equation. Distributions of velocity, pressure and wall shear stresses are determined in the system under pulsatile conditions on the boundaries. Effect of branching vessel on the flow problem is investigated. The numerical results show that blood pressure in the system with branching vessels of coronary arteries is lower than the one in the system with no branch. The magnitude of wall shear stresses rises at the bifurcation.


Subject(s)
Blood Pressure/physiology , Coronary Vessels/physiology , Models, Cardiovascular , Pulsatile Flow/physiology , Finite Element Analysis , Humans
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