Numerical modelling of incompressible flows for Newtonian and non-Newtonian fluids

Keslerová, Radka; Kozel, Karel

doi:10.1016/j.matcom.2009.12.005

Cited by 12 publications

(4 citation statements)

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“…It means that the continuity equation is completed by the time derivative of the pressure (for more details see e.g. [3][4][5]7]). The system of equations (including the modified continuity equation) could be rewritten in the vector form.…”

Section: Numerical Solutionmentioning

confidence: 99%

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Numerical Modelling of Viscous and Viscoelastic Fluids Flow in the Channel with T-Junction

Keslerová

Kozel

Trdlička

2014

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

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In this work the numerical solution of the viscous and viscoelastic fluids flow for generalized Newtonian and Oldroyd-B fluids are considered. The governing system of equations is the system of generalized Navier-Stokes equations for incompressible laminar fluids flow. For the stress tensor on the right hand side of this system two different mathematical models for viscous and viscoelastic fluids flow are used, Newtonian model and Oldroyd-B model. For the numerical simulation of generalized Newtonian and Oldroyd-B fluids flow in the tested domain a cross model for viscosity function μ(γ ) is considered. The finite volume method combined with the artificial compressibility method is used for the spatial discretization. For the time discretization the explicit multistage Runge-Kutta scheme is used. Computational domain is formed by the branched channel with one inlet and two outlet parts. The crosssection is square and the branch is perpendicular to the main pipe. The numerical results of generalized Newtonian and generalized Oldroyd-B fluids flow obtained by this method are presented.

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Section: Numerical Solutionmentioning

confidence: 99%

“…Equation (16) is discretized in space by the finite volume method and the arising system of ODEs is integrated in time by the multistage Runge-Kutta scheme ( [5,6])…”

Section: Numerical Solutionmentioning

confidence: 99%

Numerical Modelling of Viscous and Viscoelastic Fluids Flow in the Channel with T-Junction

Keslerová

Kozel

Trdlička

2014

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Self Cite

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“…1. Various types of uids based on stress and on viscosity [26]. Figure 1 shows that how the shear rate aects the shear stress and viscosity.…”

Section: Description Of the Rst Problemmentioning

confidence: 99%

Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity

et al. 2012

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This paper employs the dierential transformation method to investigate two nonlinear ordinary dierential systems for plane coquette ow having variable viscosity and thermal conductivity. The concept of dierential transformation is briey introduced, and then dierential transformation method is employed to derive solutions of nonlinear equation systems. The results of dierential transformation method are compared with those ones obtained by Adomian decomposition method to verify the accuracy of proposed method. The results reveal that the dierential transformation method can achieve suitable results in predicting the solution of such problems.

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“…Another example of finite volume method applied to viscoplastic fluids is reviewed in Keslerová and Kozel (2010). They focused on the numerical modelling of Newtonian and non-Newtonian fluids (which is defined as a power-law fluid) through a branching channel (one entrance and two exits) using finite volume method solving Navier-Stokes equations.…”

Section: Finite Volume Methodsmentioning

confidence: 99%

Deposition Modelling of High Density Tailings Using Smoothed Particle Hydrodynamics

Babaoglu¹

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High density (HD) tailings are tailings that have been sufficiently dewatered, where they exhibit a yield stress upon deposition, and therefore naturally form gently sloped deposits that do not requires dams for containment. It is essential to comprehend and model the flow behaviour during deposition to predict the final geometry of the stack and control storage capacity; which are important design elements to HD tailings technology.As HD tailings exhibit a yield stress, modelling stack geometry constitutes, in part, a problem of non-Newtonian flow with a free surface. This research investigated modelling the flow behaviour of HD tailings, using an open-source Smoothed Particle Hydrodynamics (SPH) code. The results indicated that two-dimensional simulations using SPH agreed well with experimental data for single and multi-layer flume tests. SPH has the advantage over simpler methods, such as Lubrication Theory, as SPH better predicts the geometry when inertia influences the flow of tailings. iii I would like to thank Ms. Payal Chadha for her kind assistance.Finally, I would like to thank to my family, my boyfriend and my friends for their constant encouragement and support.

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Numerical modelling of incompressible flows for Newtonian and non-Newtonian fluids

Cited by 12 publications

References 1 publication

Numerical Modelling of Viscous and Viscoelastic Fluids Flow in the Channel with T-Junction

Numerical Modelling of Viscous and Viscoelastic Fluids Flow in the Channel with T-Junction

Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity

Deposition Modelling of High Density Tailings Using Smoothed Particle Hydrodynamics

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