Effect of branchings on blood flow in the system of human coronary arteries
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Department of Mathematics, Faculty of Science, Mahidol University, Bangkok 10400
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Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845
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3.
Department of Radiology, Faculty of Medicine Siriraj Hospital, Mahidol University, Bangkoknoi, Bangkok, 10700
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Received:
01 October 2010
Accepted:
29 June 2018
Published:
01 December 2011
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MSC :
Primary: 92C10; Secondary: 92C50.
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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.
Citation: Benchawan Wiwatanapataphee, Yong Hong Wu, Thanongchai Siriapisith, Buraskorn Nuntadilok. Effect of branchings on blood flow in the system of human coronary arteries[J]. Mathematical Biosciences and Engineering, 2012, 9(1): 199-214. doi: 10.3934/mbe.2012.9.199
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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.
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