Steady laminar flow through modelled vascular stenoses

Deshpande, M. D.; Giddens, Don P.; Mabon, Robert F.

doi:10.1016/0021-9290(76)90001-4

Cited by 206 publications

(89 citation statements)

References 5 publications

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“…These models include trapezoidal, semicircular, sinusoidal, or Gaussian distributions of the obstruction in the streamwise direction. [23][24][25] The semicircular and trapezoidal options have a potential limitation from a numerical perspective in that a discontinuity in the wall slope exists in the two locations where the channel intersects the constriction shape. Therefore, the constriction on the upper and lower walls are modeled in the present investigation as having a symmetric Gaussian distribution in the streamwise direction.…”

Section: A Constriction Modelmentioning

confidence: 99%

A pressure-gradient mechanism for vortex shedding in constricted channels

Boghosian

Cassel

2013

Physics of Fluids

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Numerical simulations of the unsteady, two-dimensional, incompressible NavierStokes equations are performed for a Newtonian fluid in a channel having a symmetric constriction modeled by a two-parameter Gaussian distribution on both channel walls. The Reynolds number based on inlet half-channel height and mean inlet velocity ranges from 1 to 3000. Constriction ratios based on the half-channel height of 0.25, 0.5, and 0.75 are considered. The results show that both the Reynolds number and constriction geometry have a significant effect on the behavior of the post-constriction flow field. The Navier-Stokes solutions are observed to experience a number of bifurcations: steady attached flow, steady separated flow (symmetric and asymmetric), and unsteady vortex shedding downstream of the constriction depending on the Reynolds number and constriction ratio. A sequence of events is described showing how a sustained spatially growing flow instability, reminiscent of a convective instability, leads to the vortex shedding phenomenon via a proposed streamwise pressure-gradient mechanism. C 2013 AIP Publishing LLC. [http://dx

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Section: A Constriction Modelmentioning

confidence: 99%

A pressure-gradient mechanism for vortex shedding in constricted channels

Boghosian

Cassel

2013

Physics of Fluids

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“…Discretization of the Navier-Stokes equations of motion for steady flow through stenoses was carried out by a number of authors for a Newtonian fluid [10][11][12][13][14][15][16]. Non-Newtonian models were considered numerically in [17][18][19] to name a few.…”

Section: Introductionmentioning

confidence: 99%

Quantifying Compressibility and Slip in Multiparticle Collision (MPC) Flow Through a Local Constriction

Akhter

Rohlf

2014

Entropy

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The flow of a compressible fluid with slip through a cylinder with an asymmetric local constriction has been considered both numerically, as well as analytically. For the numerical work, a particle-based method whose dynamics is governed by the multiparticle collision (MPC) rule has been used together with a generalized boundary condition that allows for slip at the wall. Since it is well known that an MPC system corresponds to an ideal gas and behaves like a compressible, viscous flow on average, an approximate analytical solution has been derived from the compressible Navier-Stokes equations of motion coupled to an ideal gas equation of state using the Karman-Pohlhausen method. The constriction is assumed to have a polynomial form, and the location of maximum constriction is varied throughout the constricted portion of the cylinder. Results for centerline densities and centerline velocities have been compared for various Reynolds numbers, Mach numbers, wall slip values and flow geometries.

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“…To implement the time evolution of the governing equations, Introduction of a dual time integration method with fictitious pseudo-time r and real time t in equation (1) leads to the following set of equations: (6) and /? is the pseudocompressibility constant, p is the static pressure, u, v, and w are the velocity components in cartesian coordinates J is the Jacobian of the transformation, and U, V, and W are the contravariant velocities like…”

Section: Time Integrationmentioning

confidence: 99%

Computations of Pulsatile Aortic Blood Flow Problems on Parallel Computers

Niu

Tcheng

2003

Biomed. Eng. Appl. Basis Commun.

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In this study, a parallel computing technology is applied on the simulation of aortic blood flow problems. A third-order upwind flux extrapolation with a dual-time integration method based on artificial compressibility solver is used to solve the Navier-Stokes equations. The original FORTRAN code is converted to the MPI code and tested on a 64-CPU IBM SP2 parallel computer and a 32-node PC Cluster. The test results show that a significant reduction of computing time in running the model and a super-linear speed up rate is achieved up to 32 CPUs at PC cluster. The speed up rate is as high as 49 for using IBM SP2 64 processors. The test shows very promising potential of parallel processing to provide prompt simulation of the current aortic flow problems.

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Steady laminar flow through modelled vascular stenoses

Cited by 206 publications

References 5 publications

A pressure-gradient mechanism for vortex shedding in constricted channels

A pressure-gradient mechanism for vortex shedding in constricted channels

Quantifying Compressibility and Slip in Multiparticle Collision (MPC) Flow Through a Local Constriction

Computations of Pulsatile Aortic Blood Flow Problems on Parallel Computers

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