A 3rd order upwind finite volume method for generalised Newtonian fluid flows

Neofytou, Panagiotis

doi:10.1016/j.advengsoft.2005.03.011

Cited by 126 publications

(92 citation statements)

References 25 publications

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“…The centerline velocities obtained from the present standard lid driven square cavity are found to be within ±2% of the corresponding Newtonian results (Ghia et al, 1982), and within ±2.5% for power-law fluids as reported by Neofytou (2005). Agreement of the results reported here with those reported by others demonstrates the credibility of the numerical solution methodology used for the present study.…”

Section: Validation Of Resultssupporting

confidence: 79%

“…Aside from the aforementioned comparisons, the credibility of the numerical solution methodology employed herein is verified by studying the flow of Newtonian and power-law fluids in the standard lid driven square cavity separately and thereafter comparing the results with available information (Ghia et al, 1982;Neofytou, 2005). The centerline velocities obtained from the present standard lid driven square cavity are found to be within ±2% of the corresponding Newtonian results (Ghia et al, 1982), and within ±2.5% for power-law fluids as reported by Neofytou (2005).…”

Section: Validation Of Resultsmentioning

confidence: 77%

See 1 more Smart Citation

Two-dimensional Flow of Power-law Fluids over a Pair of Cylinders in a Side-by-Side Arrangement in the Laminar Regime

Panda

2017

Braz. J. Chem. Eng.

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-This manuscript presents the effect of Reynolds number (Re) and proximity of the bodies on the hydrodynamics of flow of shear-thinning, Newtonian and shear-thickening fluids over a pair of cylinders kept in side-by-side arrangement. Results obtained from the numerical simulations carried out with a combination of different parameters in the range of 0.2 ≤ power law index (n) ≤ 1.8, 0.1 ≤ Re ≤ 100 and 1.2 ≤ G (gap between the cylinders/diameter) ≤ 4 have been discussed in details. Analysis of the results gives a clear insight into the complex influence of Re on streamline patterns, surface pressure profiles, drag and lift coefficients for various fluids when the gap between two cylinder is changed.

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Section: Validation Of Resultssupporting

confidence: 79%

Section: Validation Of Resultsmentioning

confidence: 77%

Two-dimensional Flow of Power-law Fluids over a Pair of Cylinders in a Side-by-Side Arrangement in the Laminar Regime

Panda

2017

Braz. J. Chem. Eng.

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“…According [2,4] the SIMPLE method, for bi-dimensional case, use the Equations (11) till (13) to make the pressure and velocities corrections.…”

Section: Velocity-pressure Coupling Methodsmentioning

confidence: 99%

Incompressible Fluid Flow by the Maccormack Method

Martins¹,

Bressan²,

Button³

2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. The laminar incompressible fluid flow by computational numerical simulation often appears in numerical analysis in academic and industrial activities. In order to solve this kind of flow, it is necessary to determine the velocity and pressure fields which are the variables ofNavier-Stockes equations [11,15,21]. However, to solve the equations of fluid flow with losses there is no simple equation to carry out velocity and pressure coupling, hence, it is necessary to use a coupling method to obtain velocity and pressure fields consistent [1,2,3]. This work deals with the presentation of a numerical method to calculate velocity and pressure fields to computational numerical simulation of laminar fluid incompressible flow with losses. The Navier-Stockes equations were discretized by the Finite Volume Method [11,15,21], using explicit MacCormack Method [21] in co-localized and structured mesh [11,15,21], where velocity and pressure coupling was made by SIMPLE method [11,21]. The MacCormack method is a two-steps method (predictor-corrector)

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“…The categories of viscous and viscoelastic non-Newtonian fluids and the variety of related constitutive equations they provide cover applications such as petroleum, lubricants, food industry and blood flow [17]. Examples of such materials can be found in the case of solutions and melts of macromolecules.…”

Section: Introductionmentioning

confidence: 99%

Modelling of Generalized Newtonian Lid-Driven Cavity Flow Using an SPH Method

Rafiee

2008

ANZIAM J.

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In this paper a smoothed particle hydrodynamics (SPH) method is introduced for simulating two-dimensional incompressible non-Newtonian fluid flows, and the nonNewtonian effects in the flow of a fluid which can be modelled by generalized Newtonian constitutive equations are investigated. Two viscoplastic models including Bingham-plastic and power-law models are considered along with the Newtonian model. The governing equations include the conservation of mass and momentum equations in a pseudo-compressible form. The spatial discretization of these equations is achieved by using the SPH method. The temporal discretization algorithm is a fully explicit two-step predictor-corrector scheme. In the prediction step, an intermediate velocity field is obtained using a forward scheme in time without enforcing incompressibility. The correction step consists of solving a pressure Poisson equation to satisfy incompressibility by providing a trade-off between the pressure and density variables. The performance of the proposed scheme is evaluated by studying a benchmark problem including flow of viscoplastic fluids in a lid-driven cavity. Both Newtonian and non-Newtonian cases are investigated and the results are compared with available numerical data. It was shown that in all cases the method is stable and the results are in very good agreement with available data.2000 Mathematics subject classification: primary 76M28; secondary 76A05.

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A 3rd order upwind finite volume method for generalised Newtonian fluid flows

Cited by 126 publications

References 25 publications

Two-dimensional Flow of Power-law Fluids over a Pair of Cylinders in a Side-by-Side Arrangement in the Laminar Regime

Two-dimensional Flow of Power-law Fluids over a Pair of Cylinders in a Side-by-Side Arrangement in the Laminar Regime

Incompressible Fluid Flow by the Maccormack Method

Modelling of Generalized Newtonian Lid-Driven Cavity Flow Using an SPH Method

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