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Numerical solution of viscous and viscoelastic fluids flow through the branching channel by finite volume scheme

Radka Keslerová, +1 more
- Vol. 633, Iss: 1, pp 012128
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In this paper, the authors deal with the numerical modeling of steady flows of incompressible viscous and viscoelastic fluids through the three dimensional channel with T-junction.
Abstract: 
This work deals with the numerical modelling of steady flows of incompressible viscous and viscoelastic fluids through the three dimensional channel with T-junction. The fundamental system of equations is the system of generalized Navier-Stokes equations for incompressible fluids. This system is based on the system of balance laws of mass and momentum for incompressible fluids. Two different mathematical models for the stress tensor are used for simulation of Newtonian and Oldroyd-B fluids flow. Numerical solution of the described models is based on cetral finite volume method using explicit Runge-Kutta time integration.

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Journal ArticleDOI

Noninvasive assessment of carotid artery stenoses by the principle of multiscale modelling of non-Newtonian blood flow in patient-specific models

Alena Jonášová, +1 more
- 15 Feb 2018 - 
TL;DR: The concept of geometrical multiscale modelling of non-Newtonian blood flow in patient-specific models is presented with the aim to provide a methodology for the assessment of hemodynamic significance of carotid artery stenoses and the ability of the described estimation method, which employs a non-linear state estimator on zero-dimensional flow models, is demonstrated.
Journal ArticleDOI

Numerical Investigation of T-Shaped Microfluidic Oscillator with Viscoelastic Fluid.

Chao Yuan, +6 more
- 22 Apr 2021 - 
TL;DR: In this paper, the flow characteristics of viscoelastic fluid (Boger-type) in a T-shaped channel and its modified structures are studied by two-dimensional direct numerical simulation (DNS).
Proceedings ArticleDOI

Numerical Validation of a Simple Immersed Boundary Solver for Branched Channels Simulations

Anna Lancmanová, +2 more
TL;DR: The aim is to verify whether the immersed boundary method is suitable (accurate and e cient enough) for simulations of flow in channels with complicated geometry where the the grid generation might be challenging.
Book ChapterDOI

Numerical Investigation of Incompressible Fluid Flow in Planar Branching Channels

References
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Book

Finite Volume Methods for Hyperbolic Problems

Randall J. LeVeque
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
Journal ArticleDOI

A Numerical Method for Solving Incompressible Viscous Flow Problems

Alexandre J. Chorin
- 01 Aug 1997 - 
TL;DR: In this article, a numerical method for solving incompressible viscous flow problems is introduced, which uses the velocities and the pressure as variables and is equally applicable to problems in two and three space dimensions.
Journal ArticleDOI

A new generalized Oldroyd-B model for blood flow in complex geometries

M. Anand, +2 more
- 01 Nov 2013 - 
TL;DR: In this paper, a new generalization of the Oldroyd-B model is developed to describe the flow of blood, which allows for a smooth variation of the rate of dissipation, and therefore viscosity, over the entire range of physically feasible shear-rates.
Book ChapterDOI

Numerical Study of the Significance of the Non-Newtonian Nature of Blood in Steady Flow Through a Stenosed Vessel

T. Bodnár, +1 more
TL;DR: In this article, a comparative numerical study of non-Newtonian shear-thinning and viscoelastic blood flow models through an idealized stenosis is presented.
Journal ArticleDOI

Pulsatile Non-Newtonian Blood Flow through a Model of Arterial Stenosis☆

Mir Golam Rabby, +2 more
- 01 Jan 2013 - 
TL;DR: Numerically investigate the physics of a pulsatile non-Newtonian flow confined within a two-dimensional axisymmetric pipe with an idealized stenosis using the finite volume method.