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Keywords: Navier–Stokes equations
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Journal Articles
Article Type: Research Papers
J Biomech Eng. December 2011, 133(12): 121005.
Published Online: December 23, 2011
... was applied using a controlled pump. Inner pressure waves and flow velocity were then measured using a pressure sensor and an ultrasonic diagnostic system. We formulated a 1D model derived from the Navier-Stokes equations and a continuity equation to characterize pressure propagation in flexible tubes...
Journal Articles
Article Type: Research Papers
J Biomech Eng. May 2011, 133(5): 051001.
Published Online: April 7, 2011
..., related to Total Variation Diminishing (TVD) schemes and designed for unstructured meshes was used for spatial discretisation of the NavierStokes equations ( 24 ). A multidimensional monotone reconstruction of cell-averaged data and Roe’s flux function are used to achieve near second order accuracy, even...
Journal Articles
Article Type: Research Papers
J Biomech Eng. March 2011, 133(3): 031004.
Published Online: February 4, 2011
..., was not used in previous studies of peristalsis in living organisms. In the present investigation, a numerical simulation is introduced and solved through ALE formulation to perform the ureteral flow and stress analysis. The incompressible NavierStokes equations are used as the governing equations...
Journal Articles
Article Type: Research Papers
J Biomech Eng. June 2010, 132(6): 061001.
Published Online: April 16, 2010
.... For the fluid part, the governing equation used was the NavierStokes equation; for the porous medium region, the generalized Darcy–Brinkman–Forchheimer extended model was used. For the porous-fluid interface, a stress jump condition was enforced with a continuity of normal stress, and the mass interfacial...
Journal Articles
Article Type: Research Papers
J Biomech Eng. May 2010, 132(5): 051005.
Published Online: March 25, 2010
... 2009 28 01 2010 25 03 2010 25 03 2010 biothermics blood vessels cardiovascular system diseases haemodynamics haemorheology heat conduction Navier-Stokes equations temperature distribution temperature measurement reactive hyperemia endothelial dysfunction vascular...
Journal Articles
Article Type: Research Papers
J Biomech Eng. February 2010, 132(2): 021005.
Published Online: January 28, 2010
... 12 2009 28 01 2010 28 01 2010 cardiology flow instability haemodynamics momentum Navier-Stokes equations aortic valve fluid mechanics aortic valve stenosis power loss The objective of this paper is to study the dynamic characteristics of hydrodynamic energy loss...
Journal Articles
Article Type: Research Papers
J Biomech Eng. February 2009, 131(2): 021003.
Published Online: December 10, 2008
... was modeled by the NavierStokes equations, Darcy’s law was employed to model the transmural flow in the arterial wall, mass balance of albumin and LDL was governed by the convection-diffusion mechanism with an additional reaction term in the wall, and the Kedem–Katchalsky equations were applied...
Journal Articles
Article Type: Research Papers
J Biomech Eng. October 2008, 130(5): 051009.
Published Online: August 12, 2008
... of nonplanarity in vessel geometry, a curved bypass graft is considered that connects to the host artery with a 90 deg out-of-plane curvature. NavierStokes equations are solved using a finite volume method. Velocity and wall shear stress (WSS) are compared between Newtonian and non-Newtonian fluids at different...
Journal Articles
Article Type: Research Papers
J Biomech Eng. August 2008, 130(4): 041014.
Published Online: June 11, 2008
... arteries NavierStokes equations CFD model moving grid cardiac CT Throughout the arterial tree, including the coronary arteries, the distribution of atherosclerosis is heterogeneous ( 1 2 3 ): atherosclerotic plaques and wall thickenings are localized to major bifurcations and the inner walls...
Journal Articles
Article Type: Research Papers
J Biomech Eng. June 2008, 130(3): 031013.
Published Online: April 30, 2008
... reduction produced by the introduction of catheters at the vessel lumen. The temperature was calculated by solving the energy equation and the NavierStokes equations in 2D idealized arterial models. Arterial wall temperature depends on three basic factors: metabolic activity of the inflammatory cells...
Journal Articles
Article Type: Research Papers
J Biomech Eng. June 2008, 130(3): 031011.
Published Online: April 29, 2008
... racehorse. Different geometries for inhalation and exhalation were used for the model based on the difference in the nasopharynx size during the two phases of respiration. The Reynolds averaged NavierStokes equations were solved for the isothermal flow with the standard k - ϵ model for turbulence...
Journal Articles
Article Type: Research Papers
J Biomech Eng. December 2007, 129(6): 873–879.
Published Online: April 23, 2007
... that facilitates a better understanding of the complex interactions between detachable coils and the local blood flow. In particular, a semiheuristic porous media set of equations used to describe the intra-aneurysmal flow is coupled to the incompressible NavierStokes equations governing the dynamics of the flow...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. August 2006, 128(4): 573–578.
Published Online: February 2, 2006
..., coupled to the free-surface Navier-Stokes equations. The resulting three-dimensional, fluid-structure-interaction problem is solved numerically by a fully coupled finite element method. Our study focuses on the effects of fluid inertia, which has been neglected in most previous studies. The importance...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. April 2006, 128(2): 194–202.
Published Online: September 25, 2005
... for arterial wall motion due to fluid-wall interactions, a shear thinning fluid model of blood, a vascular bed model for outflow boundary conditions, and a model for autoregulation mechanism. The three-dimensional unsteady incompressible Navier-Stokes equations coupled with these models were solved iteratively...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. February 2006, 128(1): 69–75.
Published Online: August 3, 2005
... physiological models Navier-Stokes equations finite element analysis dispersion finite element single path lungs Distribution of nodes on a rectangular element used in the computation of the physical variables; solid circles represent the velocity, concentration nodes and open circles...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. October 2005, 127(5): 782–797.
Published Online: March 31, 2005
... 3D investigations are required. The unsteady, incompressible Reynolds-averaged Navier-Stokes equations with the Boussinesq assumption to express the Reynolds stresses in terms of the resolved velocity field are transformed in generalized, nonorthogonal curvilinear coordinates and formulated...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. October 2004, 126(5): 567–577.
Published Online: November 23, 2004
...Hideki Fujioka; James B. Grotberg In this study, we investigate the steady propagation of a liquid plug within a two-dimensional channel lined by a uniform, thin liquid film. The Navier-Stokes equations with free-surface boundary conditions are solved using the finite volume numerical scheme. We...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. June 2004, 126(3): 363–370.
Published Online: June 24, 2004
...Dalin Tang; Chun Yang; Shunichi Kobayashi; David N. Ku Nonlinear 3-D models with fluid-structure interactions (FSI) based on in vitro experiments are introduced and solved by ADINA to perform flow and stress/strain analysis for stenotic arteries with lipid cores. Navier-Stokes equations are used...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. August 2003, 125(4): 472–480.
Published Online: August 1, 2003
... presents a new model to simulate mass transfer in artificial kidney by coupling together shell-side, lumen-side, and transmembrane flows. Darcy’s equations were employed to simulate shell-side flow, Navier-Stokes equations were employed to simulate lumen-side flow, and Kedem-Katchalsky equations were used...
Journal Articles
Article Type: Technical Papers
J Biomech Eng. August 2003, 125(4): 445–460.
Published Online: August 1, 2003
...Sonu S. Varghese; Steven H. Frankel Pulsatile turbulent flow in stenotic vessels has been numerically modeled using the Reynolds-averaged Navier-Stokes equation approach. The commercially available computational fluid dynamics code (CFD), FLUENT, has been used for these studies. Two different...